Kohji Matsumoto
Graduate School of Mathematics
Nagoya University
Nagoya 4648602, Japan
Research Interests
Number Theory, Zeta Theory
Papers

(with H. Furusho, Y. Komori and H. Tsumura)
Fundamentals of $p$adic multiple $L$functions, and evaluation of their special values,
Selecta Math. (Online first)

(with Y. Choie)
Functional equations for double series of Euler type with coefficients,
Adv. Math. 292 (2016), 529557.

(with R. Ka{\v c}inskait{\.e})
The mixed joint universality for a class of zetafunctions,
Math. Nachr. 288 (2015), 19001909.

(with Y. Komori and H. Tsumura)
Zetafunctions of weight lattices of compact connected semisimple Lie groups,
Proc. 5th Intern. Conf. on Analytic Number Theory and Spatial Tesselations (Kyiv 2013),
{\v S}iauliai Math. Sem. 10(18) (2015), 149179.

(with Y. Komori and H. Tsumura)
Infinite series involving hyperbolic functions,
Lith. Math. J. 55 (2015), 102118.

A survey on the theory of universality for zeta and $L$functions,
in "Number Theory: Plowing and Starring through High Wave Forms", Proc. 7th ChinaJapan Seminar,
Ser. on Number Theory and its Appl. 11, M. Kaneko et al. (eds.), World Scientific, 2015, pp.95144.
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(with H. Tsumura)
Mean value theorems for the double zetafunction,
J. Math. Soc. Japan 67 (2015), 383406.

(with Y. Komori and H. Tsumura)
On Witten multiple zetafunctions associated with semisimple Lie algebras V,
Glasgow Math. J. 57 (2015), 107130.

(with M. Sh{\=}oji)
Numerical computations on the zeros of the Euler double zetafunction I,
Moscow J. Combin. Number Theory 4 (2014), 295313.
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(with Y. Komori and H. Tsumura)
Lattice sums of hyperplane arrangements,
Comment. Math. Univ. St. Pauli 63 (2014), 161213.
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(with Y. Komori and H. Tsumura)
A study on multiple zeta values from the viewpoint of zetafunctions of root systems,
Funct. Approx. Comment. Math. 51 (2014), 4376.
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(with Y. Komori and H. Tsumura)
Hyperbolicsine analogues of Eisenstein series, generalized Hurwitz numbers, and $q$zeta functions,
Forum Math. 26 (2014), 10711115.
 (with M. Chida and H. Katsurada)
On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups,
Abh. Math. Sem. Univ. Hamburg 84 (2014), 3147.

(with Y. Ihara)
On the valuedistribution of logarithmic derivatives of Dirichlet $L$functions,
in "Analytic Number Theory, Approximation Theory and Special Functions", in Honor of H. M. Srivastava, G. V. Milovanovi{\'c} and M. Th. Rassias (eds.), Springer, 2014, pp.7991.
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(with A. Laurin{\v c}ikas and J. Steuding)
Universality of some functions related to zetafunctions of certain cusp forms,
Osaka J. Math. 50 (2013), 10211037.
 (with H. Ishikawa)
An explicit formula of Atkinson type for the product of $\zeta(s)$ and a Dirichlet polynomial II,
{\v S}iauliai Math. Sem. 8(16) (2013), 95108.
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(with A. Laurin{\v c}ikas and J. Steuding)
On hybrid universality of certain composite functions involving Dirichlet $L$functions,
Ann. Univ. Sci. Budapest., Sect. Comp. 41 (2013), 8596.

(with G. Bhowmik)
Analytic continuation of random Dirichlet series,
Sovrem. Problem. Matem. 17 (2013), 7681; = Proc. Steklov Inst. Math. Suppl. 282 Issue 1 (1013), 6772.

(with Y. Komori and H. Tsumura)
Barnes multiple zetafunctions, Ramanujan's formula, and relevant series involving hyperbolic functions,
J. Ramanujan Math. Soc. 28 (2013), 4969.
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(with Y. Komori and H. Tsumura)
Functional relations for zetafunctions of weight lattices of Lie groups of type $A_3$,
in "Analytic and Probabilistic Methods in Number Theory. Kubilius memorial Volume", Proc. 5th Intern. Conf. in Honour of J. Kubilius, A. Laurin{\v c}ikas et al. (eds.), TEV, 2012, pp.151172.
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(with Y. Komori and H. Tsumura)
On Witten multiple zetafunctions associated with semisimple Lie algebras III,
in "Multiple Dirichlet Series, Lfunctions and Automorphic Forms", Progress in Math. 300, D. Bump et al. (eds.), Birkh{\"a}user, 2012, pp.223286.
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(with H. Tsumura)
Sum formulas for double polylogarithms with a shifting parameter and their derivatives,
Moscow J. Combin. Number Theory 1 (2011), 346367.

(with Y. Komori and H. Tsumura)
Evaluation formulas of CauchyMellin type for certain series involving hyperbolic functions,
Comment. Math. Univ. St. Pauli 60 (2011), 127142.
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(with Y. Komori and H. Tsumura)
Functional equations for double $L$functions and values at nonpositive integers,
Intern. J. Number Theory 7 (2011), 14411461.
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(with Y. Komori and H. Tsumura)
A survey on the theory of multiple Bernoulli polynomials and multiple $L$functions of root systems,
in "Infinite Analysis 2010, Developments in Quantum Integrable Systems", RIMS K{\^o}ky{\^u}roku Bessatsu B28, A. Kuniba et al. (eds.), RIMS Kyoto Univ., 2011, pp.99120.
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(with Y. Ihara)
On certain mean values and the valuedistribution of logarithms of Dirichlet $L$functions ,
Quart. J. Math. (Oxford) 62 (2011), 637677.

(with Y. Komori and H. Tsumura)
Shuffle products for multiple zeta values and partial fraction decompositions of zetafunctions of root systems,
Math. Z. 268 (2011), 9931011.

(with Y. Komori and H. Tsumura)
Multiple zeta values and zetafunctions of root systems,
Proc. Japan Acad. 87A (2011), 103107.

(with H. Uesugi, M. Sonoo, E. St{\aa a}lberg, M. Higashihara, H. Murashima, Y. Ugawa, Y. Nagashima, T. Shimizu, H. Saito and I. Kanazawa)
"Clustering index method": A new technique for differentiation between neurogenic and myopathic changes using surface EMG,
Clinical Neurophysiology 122 (2011), 10321041.

(with Y. Ihara)
On $\log L$ and $L'/L$ for $L$functions and the associated "$M$functions": Connections in optimal cases,
Moscow Math. J. 11 (2011), 73111.

(with D. Essouabri and H. Tsumura)
Multiple zetafunctions associated with linear recurrence sequences and the vectorial sum formula,
Canad. J. Math. 63 (2011), 241276.

(with Y. Komori and H. Tsumura)
On Witten multiple zetafunctions associated with semisimple Lie algebras IV,
Glasgow Math. J. 53 (2011), 185206.

(with H. Ishikawa)
An explicit formula of Atkinson type for the product of $\zeta(s)$ and a Dirichlet polynomial,
Central European J. Math. 9 (2011), 102126.
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(with Y. Ihara)
On $L$functions over function fields: Powermeans of errorterms and distribution of $L'/L$values,
in "Algebraic Number Theory and Related Topics 2008", RIMS K{\^o}ky{\^u}roku Bessatsu B19, H. Nakamura et al. (eds.), RIMS Kyoto Univ., 2010, pp.221247.
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(with Y. Komori and H. Tsumura)
Functional equations and functional relations for the Euler double zetafunction and its generalization of Eisenstein type,
Publ. Math. Debrecen 77 (2010), 1531.

(with Y. Komori and H. Tsumura)
On Witten multiple zetafunctions associated with semisimple Lie algebras II,
J. Math. Soc. Japan 62 (2010), 355394.

(with Y. Komori and H. Tsumura)
On multiple Bernoulli polynomials and multiple $L$functions of root systems,
Proc. London Math. Soc. 100 (2010), 303347.

(with Y. Komori and H. Tsumura)
An introduction to the theory of zetafunctions of root systems,
in "Algebraic and Analytic Aspects of Zeta Functions and $L$functions, Lectures at the FrenchJapanese Winter School (Miura, 2008)", MSJ Memoirs 21, G. Bhowmik et al. (eds.), Math. Soc. Japan 2010, pp. 115140.
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(with R. Garunk{\v s}tis, A. Laurin{\v c}ikas, J. Steuding and R. Steuding)
Effective uniform approximation by the Riemann zetafunction,
Publ. Mat. (Barcelona) 54 (2010), 209219.
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(with Y. Komori and H. Tsumura)
Functional relations for zetafunctions of root systems,
in "Number Theory: Dreaming in Dreams", Proc. 5th ChinaJapan Seminar, T. Aoki et al. (eds.), World Scientific, 2010, pp.135183.
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(with Y. Ihara)
On the valuedistribution of $\log L$ and $L'/L$,
in "New Directions in ValueDistribution Theory of Zeta and $L$Functions, W{\"u}rzburg Conference, Oct 2008", R.& J. Steuding (eds.), Shaker Verlag, 2009, pp.8597.
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(with H. Tsumura)
Functional relations among certain double polylogarithms and their character analogues,
{\v S}iauliai Math. Sem. 3(11) (2008), 189205.
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(with Y. Komori and H. Tsumura)
Zeta and $L$functions and Bernoulli polynomials of root systems,
Proc. Japan Acad. 84, Ser. A (2008), 5762.
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(with T. Nakamura, H. Ochiai and H. Tsumura)
On valuerelations, functional relations and singularities of MordellTornheim and related triple zetafunctions,
Acta Arith. 132 (2008), 99125.
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(with Y. Ichihara)
On the SiegelTatuzawa theorem for a class of $L$functions,
Kyushu J. Math. 62 (2008), 201215.
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(with T. Nakamura and H. Tsumura)
Functional relations and special values of MordellTornheim triple zeta and $L$functions,
Proc. Amer. Math. Soc. 136 (2008), 21352145.

(with H. Tsumura)
A new method of producing functional relations among multiple zetafunctions,
Quart. J. Math. (Oxford) 59 (2008), 5583.

On the speed of convergence to limit distributions for Dedekind zetafunctions of nonGalois number fields,
in "Probability and Number Theory  Kanazawa 2005", Adv. Stud. Pure Math. 49, S. Akiyama et al. (eds.), Math. Soc. Japan, 2007, pp.199218.
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(with A. Laurin{\v c}ikas)
Joint valuedistribution theorems on Lerch zetafunctions III,
in "Analytic and Probabilistic Methods in Number Theory", Proc. 4th Intern. Conf. in Honour of J. Kubilius, A. Laurin{\v c}ikas and E. Manstavi{\v c}ius (eds.), TEV, 2007, pp.8798.
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(with S. Egami)
Convolutions of the von Mangoldt function and related Dirichlet series,
in "Number Theory: Sailing on the Sea of Number Theory", Proc. 4th ChinaJapan Seminar, S. Kanemitsu and J. Liu (eds.), World Scientific, 2007, pp.123.
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The analytic theory of multiple zetafunctions and its applications,
Sugaku 59 (2007), 2445 (in Japanese).
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(with Y. Komori and H. Tsumura)
Zetafunctions of root systems,
in "The Conference on $L$Functions", L. Weng and M. Kaneko (eds.), World Scientific, 2007, pp.115140.
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On the speed of convergence to limit distributions for Hecke $L$functions associated with ideal class characters,
Analysis 26 (2006), 313321.
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An introduction to the valuedistribution theory of zetafunctions,
{\v S}iauliai Math. Sem. 1(9) (2006), 6183.
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(with A. Laurin{\v c}ikas)
Joint valuedistribution theorems on Lerch zetafunctions II,
Liet. Mat. Rink. 46 (2006), 332350.
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(with H. Tsumura)
On Witten multiple zetafunctions associated with semisimple Lie algebras I,
Ann. Inst. Fourier 56 (2006), 14571504.

(with H. Tsumura)
Generalized multiple Dirichlet series and generalized multiple polylogarithms,
Acta Arith. 124 (2006), 139158.
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(with A. Sankaranarayanan)
On the mean square of standard $L$functions attached to Ikeda lifts,
Math. Z. 253 (2006), 607622.

Analytic properties of multiple zetafunctions in several variables,
in "Number Theory: Tradition and Modrnization", Proc. 3rd ChinaJapan Seminar,
W. Zhang and Y. Tanigawa (eds.), Springer, 2006, pp.153173.
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The analytic continuation and the asymptotic behaviour of cfertain multiple
zetafunctions III,
Comment. Math. Univ. St. Pauli 54 (2005), 163186.
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(with A. Laurin{\v c}ikas and J. Steuding)
Discrete universality of $L$functions for new forms,
Mat. Zametki 78 (2005), 595603 (in Russian); English Transl.:
Math. Notes 78 (2005), 551558.

Liftings and mean value theorems for automorphic $L$functions,
Proc. London Math. Soc. (3)90 (2005), 297320.

On the mean square of the product of $\zeta(s)$ and a Dirichlet polynomial,
Comment. Math. Univ. St. Pauli 53 (2004), 121.
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(with A. Laurin{\v c}ikas)
The joint universality of twisted automorphic $L$functions,
J. Math. Soc. Japan 56 (2004), 923939.
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Functional equations for double zetafunctions,
Math. Proc. Cambridge Phil. Soc. 136 (2004), 17.

(with H. Ishikawa)
On the estimation of the order of EulerZagier multiple zetafunctions,
Illinois J. Math. 47 (2003), 11511166.
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On MordellTornheim and other multiple zetafunctions,
in "Proc. Session in Analytic Number Theory and Diophantine Equations"
(Bonn, 2002), Bonner Math. Schriften 360, D.R.HeathBrown, B.Z.Moroz (eds.),
Bonn, 2003, n.25, 17pp.
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Asymptotic expansions of double zetafunctions of Barnes, of Shintani,
and Eisenstein series,
Nagoya Math. J. 172 (2003), 59102.

(with Y. Tanigawa)
The analytic continuation and the order estimate of multiple Dirichlet
series,
J. Th{\'e}orie des Nombres de Bordeaux 15 (2003), 267274.

The analytic continuation and the asymptotic behaviour of certain multiple
zetafunctions I,
J. Number Theory 101 (2003), 223243.

(with A. Laurin{\v c}ikas and J. Steuding)
The universality of $L$functions associated with new forms,
Izv. Ross. Akad. Nauk Ser. Mat. 67 (2003), 8398 (in Russian);
English Transl.:
Izv. Math. 67 (2003), 7790.

(with L. Weng)
Zetafunctions defined by two polynomials,
in "Number Theoretic Methods  Future Trends", Proceedings of the 2nd
ChinaJapan Seminar (Iizuka, 2001), Developments in Math. Vol.8,
S.Kanemitsu, C.Jia (eds.), Kluwer Academic Publishers, 2002, pp.233262.
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Some problems on mean values and the universality of zeta and multiple
zetafunctions,
in "Analytic and Probabilistic Methods in Number Theory", Proceedings of
the 3rd Intern. Conf. in Honour of J. Kubilius (Palanga, Lithuania, 2001),
A. Dubickas et al.(eds.), TEV, 2002. pp.195199.
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The analytic continuation and the asymptotic behaviour of certain multiple
zetafunctions II,
in "Analytic and Probabilistic Methods in Number Theory", Proceedings of
the 3rd Intern. Conf. in Honour of J. Kubilius (Palanga, Lithuania, 2001),
A. Dubickas et al.(eds.), TEV, 2002, pp.188194.
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On the analytic continuation of various multiple zetafunctions,
in "Number Theory for the Millennium II", Proceedings of the Millennial
Conference on Number Theory (UrbanaChampaign, USA, 2000),
M.A.Bennett et al. (eds.), A K Peters, 2002, pp.417440; also in
"Surveys in Number Theory: Papers from the Millennial Conference
on Number Theory", M.A.Bennett et al. (eds.), A K Peters, 2003,
pp.169192.
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(with S.Egami)
Asymptotic expansions of multiple zeta functions and power mean values
of Hurwitz zeta functions,
J. London Math. Soc.(2)66 (2002), 4160.

(with M. Katsurada)
Explicit formulas and asymptotic expansions for certain mean square of
Hurwitz zetafunctions III,
Compositio Math. 131 (2002), 239266.

Asymptotic expansions of double gammafunctions and related remarks,
in "Analytic Number Theory", Proceedings of Conferences (Beijing/Kyoto, 1999),
Developments in Math. Vol.6, C.Jia, K.Matsumoto (eds.),
Kluwer Academic Publishers, 2002, pp.243268.
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Probabilistic valuedistribution theory of zetafunctions,
Sugaku 53 (2001), 279296 (in Japanese); English Transl.: Sugaku Expositions,
17 (2004), 5171.pdffile

(with A. Laurin{\v c}ikas)
The universality of zetafunctions attached to certain cusp forms,
Acta Arith. 98 (2001), 345359.
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The mean values and the universality of RankinSelberg $L$functions,
in "Number Theory", Proceedings of the Turku Symposium on Number Theory
in Memory of Kustaa Inkeri (Turku, Finland, 1999),
M. Jutila, T.Mets{\"a}nkyl{\"a} (eds.), Walter de Gruyter, 2001, pp.201221.
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(with A. Laurin{\v c}ikas)
The joint universality and the functional independence for Lerch
zetafunctions,
Nagoya Math. J. 157 (2000), 211227.

Recent developments in the mean square theory of the Riemann zeta and other
zetafunctions,
in "Number Theory", . P. Bambah et al.(eds.), Hindustan Book Agency and Indian
National Science Academy, distributed by Birkhauser, 2000, pp.241286.
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(with M. Katsurada)
A weighted integral approach to the mean square of Dirichlet $L$functions,
in "Number Theory and its Applications", Proceedings of a Conference
(Kyoto, 1997), Developments in Math. Vol.2, S. Kanemitsu, K. Gy{\" o}ry
(eds.), Kluwer Academic Publishers, 1999, pp.199229.
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(with A. Ivi{\'c} and Y. Tanigawa)
On Riesz means of the coefficients of the RankinSelberg series,
Math. Proc. Cambridge Phil. Soc. 127 (1999), 117131.

(with Y. Tanigawa)
On the zeros of higher derivatives of Hardy's $Z$function,
J. Number Theory 75 (1999), 262278.

(with T. Hattori)
A limit theorem for BohrJessen's probability measures of the Riemann
zetafunction,
J. Reine Angew. Math. 507 (1999), 219232.

(with A. Laurin{\v c}ikas)
Joint valuedistribution theorems on Lerch zetafunctions,
Liet. Mat. Rink. 38 (1998), 312326; = Lithuanian Math.J. 38 (1998), 238249.

Asymptotic series for double zeta, double gamma, and Hecke $L$functions,
Math. Proc. Cambridge Phil. Soc. 123 (1998), 385405;
Corrigendum and addendum, ibid. 132 (2002), 377384.

(with M. Katsurada)
Explicit formulas and asymptotic expansions for certain mean square of
Hurwitz zetafunctions II,
in "Analytic and Probabilistic Methods in Number Theory", Proceedings
of the 2nd Intern. Conf. in Honour of J.Kubilius (Palanga, Lithuania, 1996),
New Trends in Probab. and Statist. Vol.4, A. Laurin{\v c}ikas et al. (eds.),
VSP/TEV, 1997, pp.119134.

(with I. Kiuchi)
The resemblance of the behaviour of the remainder terms $E_{\sigma}(t),
{\Delta}_{12\sigma}(x)$ and $R(\sigma +it)$,
in "Sieve Methods, Exponential Sums, and their Applications in Number Theory",
Proceedings of a Symposium (Cardiff, UK, 1995), London Math. Soc.
Lecture Note Ser. Vol.237, G. R. H. Greaves et al. (eds.), Cambridge Univ. Press,
1997, pp.255273.

(with M. Katsurada)
Explicit formulas and asymptotic expansions for certain mean square of
Hurwitz zetafunctions I,
Math. Scand. 78 (1996), 161177.

(with A. Ivic)
On the error term in the mean square formula for the Riemann zetafunction
in the critical strip,
Monatsh. Math. 121 (1996), 213229.

(with T. Hattori)
Large deviations of Montgomery type and its application to the theory of
zetafunctions,
Acta Arith. 71 (1995), 7994.

On the bounded term in the mean square formula for the approximate functional
equation of ${\zeta}^2(s)$,
Arch. Math. 64 (1995), 323332.

(with T. Meurman)
The mean square of the Riemann zetafunction in the critical strip II,
Acta Arith. 68 (1994), 369382.

(with G. Harman)
Discrepancy estimates for the valuedistribution of the Riemann
zetafunction IV,
J. London Math. Soc. (2)50 (1994), 1724.

(with M. Katsurada)
The mean values of Dirichlet $L$functions at integer points and class
numbers of cyclotomic fields,
Nagoya Math. J. 134 (1994), 151172.

(with M. Katsurada)
Explicit formulas and asymptotic expansions for certain mean square of
Hurwitz zetafunctions,
Proc. Japan Acad. 69, Ser. A (1993), 303307.

(with T. Meurman)
The mean square of the Riemann zetafunction in the critical strip III,
Acta Arith. 64 (1993), 357382.

(with M. Katsurada)
Discrete mean values of Hurwitz zetafunctions,
Proc. Japan Acad. 69, Ser. A (1993), 164169.

Asymptotic probability measures of Euler products,
in "Proceedings of the Amalfi Conference on Analytic Number Theory"
(Amalfi, Italy, 1989), E. Bombieri et al. (eds.), Univ. di Salerno, 1992,
pp.295313.

(with I. Kiuchi)
Mean value results for the approximate functional equation of the square of
the Riemann zetafunction,
Acta Arith. 61 (1992), 337345.

Asymptotic probability measures of zetafunctions of algebraic number fields,
J. Number Theory 40 (1992), 187210.

On the magnitude of asymptotic probability measures of Dedekind zetafunctions
and other Euler products,
Acta Arith. 60 (1991), 125147.

(with M. Katsurada)
Asymptotic expansions of the mean values of Dirichlet $L$functions,
Math. Z. 208 (1991), 2339.

The mean square of Dirichlet $L$functions (A generalization of
Balasubramanian's method),
Proc. Japan Acad. 66, Ser. A (1990), 204208.

Valuedistribution of zetafunctions,
in "Analytic Number Theory", Proceedings of the JapaneseFrench Symposium
(Tokyo, 1988), Lecture Notes in Math. Vol. 1434,
K. Nagasaka, E. Fouvry (eds.), Springer, 1990, pp.178187.

A probabilistic study on the valuedistribution of Dirichlet series attached
to certain cusp forms,
Nagoya Math. J. 116 (1989), 123138.

The mean square of the Riemann zetafunction in the critical strip,
Japanese J. Math. 15 (1989), 113.

Discrepancy estimates for the valuedistribution of the Riemann
zetafunction III,
Acta Arith. 50 (1988), 315337.

(with T. Miyazaki)
On some hypersurfaces of highdimensional tori related with the Riemann
zetafunction,
Tokyo J. Math. 10 (1987), 271279.

Discrepancy estimates for the valuedistribution of the Riemann
zetafunction I,
Acta Arith. 48 (1987), 167190.

Discrepancy estimates for the valuedistribution of the Riemann
zetafunction II,
in "Number Theory and Combinatorics, Japan 1984", Proceedings of
Conferences (Tokyo/Okayama/Kyoto), J. Akiyama et al. (eds.),
World Scientific, 1985, pp.265278.

A remark on Smith's result on a divisor problem in arithmetic progressions,
Nagoya Math. J. 98 (1985), 265278.

A remark on Smith's result on a divisor problem in arithmetic progressions,
C. R. Math. Rep. Acad. Sci. Canada 6 (1984), 101102.

The mean square of Dirichlet $L$functions,
Proc. Japan Acad. 58, Ser. A (1982), 443446; Corrections, ibid. 65, Ser. A
(1989), 344.
Last update: 2016/4/2