Kohji Matsumoto

Graduate School of Mathematics
Nagoya University
Nagoya 464-8602, Japan


Research Interests
Number Theory, Zeta Theory

Papers



  1. (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), 102-126. pdf-file


  2. (with Y. Ihara) On $L$-functions over function fields: Power-means of error-terms 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.221-247. pdf-file


  3. (with Y. Komori and H. Tsumura) Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type,
    Publ. Math. Debrecen 77 (2010), 15-31.


  4. (with Y. Komori and H. Tsumura) On Witten multiple zeta-functions associated with semisimple Lie algebras II,
    J. Math. Soc. Japan 62 (2010), 355-394.


  5. (with Y. Komori and H. Tsumura) On multiple Bernoulli polynomials and multiple $L$-functions of root systems,
    Proc. London Math. Soc. 100 (2010), 303-347.


  6. (with Y. Komori and H. Tsumura) An introduction to the theory of zeta-functions of root systems,
    in "Algebraic and Analytic Aspects of Zeta Functions and $L$-functions, Lectures at the French-Japanese Winter School (Miura, 2008)", MSJ Memoirs 21, G. Bhowmik et al. (eds.), Math. Soc. Japan 2010, pp. 115-140. pdf-file


  7. (with R. Garunk{\v s}tis, A. Laurin{\v c}ikas, J. Steuding and R. Steuding) Effective uniform approximation by the Riemann zeta-function,
    Publ. Mat. (Barcelona) 54 (2010), 209-219. pdf-file


  8. (with Y. Komori and H. Tsumura) Functional relations for zeta-functions of root systems,
    in "Number Theory: Dreaming in Dreams", Proc. 5th China-Japan Seminar, T. Aoki et al. (eds.), World Scientific, 2010, pp.135-183. pdf-file


  9. (with Y. Ihara) On the value-distribution of $\log L$ and $L'/L$,
    in "New Directions in Value-Distribution Theory of Zeta and $L$-Functions, W{\"u}rzburg Conference, Oct 2008", R.& J. Steuding (eds.), Shaker Verlag, 2009, pp.85-97. pdf-file


  10. (with H. Tsumura) Functional relations among certain double polylogarithms and their character analogues,
    {\v S}iauliai Math. Sem. 3(11) (2008), 189-205. pdf-file


  11. (with Y. Komori and H. Tsumura) Zeta and $L$-functions and Bernoulli polynomials of root systems,
    Proc. Japan Acad. 84, Ser. A (2008), 57-62. pdf-file


  12. (with T. Nakamura, H. Ochiai and H. Tsumura) On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions,
    Acta Arith. 132 (2008), 99-125. pdf-file


  13. (with Y. Ichihara) On the Siegel-Tatuzawa theorem for a class of $L$-functions,
    Kyushu J. Math. 62 (2008), 201-215. pdf-file


  14. (with T. Nakamura and H. Tsumura) Functional relations and special values of Mordell-Tornheim triple zeta and $L$-functions,
    Proc. Amer. Math. Soc. 136 (2008), 2135-2145.


  15. (with H. Tsumura) A new method of producing functional relations among multiple zeta-functions,
    Quart. J. Math. (Oxford) 59 (2008), 55-83.


  16. On the speed of convergence to limit distributions for Dedekind zeta-functions of non-Galois number fields,
    in "Probability and Number Theory -- Kanazawa 2005", Adv. Stud. Pure Math. 49, S. Akiyama et al. (eds.), Math. Soc. Japan, 2007, pp.199-218. pdf-file


  17. (with A. Laurin{\v c}ikas) Joint value-distribution theorems on Lerch zeta-functions 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.87-98. pdf-file


  18. (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 China-Japan Seminar, S. Kanemitsu and J. Liu (eds.), World Scientific, 2007, pp.1-23. pdf-file


  19. The analytic theory of multiple zeta-functions and its applications,
    Sugaku 59 (2007), 24-45 (in Japanese). pdf-file


  20. (with Y. Komori and H. Tsumura) Zeta-functions of root systems,
    in "The Conference on $L$-Functions", L. Weng and M. Kaneko (eds.), World Scientific, 2007, pp.115-140. pdf-file


  21. On the speed of convergence to limit distributions for Hecke $L$-functions associated with ideal class characters,
    Analysis 26 (2006), 313-321. pdf-file


  22. An introduction to the value-distribution theory of zeta-functions,
    {\v S}iauliai Math. Sem. 1(9) (2006), 61-83. pdf-file


  23. (with A. Laurin{\v c}ikas) Joint value-distribution theorems on Lerch zeta-functions II,
    Liet. Mat. Rink. 46 (2006), 332-350. pdf-file


  24. (with H. Tsumura) On Witten multiple zeta-functions associated with semisimple Lie algebras I,
    Ann. Inst. Fourier 56 (2006), 1457-1504.


  25. (with H. Tsumura) Generalized multiple Dirichlet series and generalized multiple polylogarithms,
    Acta Arith. 124 (2006), 139-158. pdf-file


  26. (with A. Sankaranarayanan) On the mean square of standard $L$-functions attached to Ikeda lifts,
    Math. Z. 253 (2006), 607-622.


  27. Analytic properties of multiple zeta-functions in several variables,
    in "Number Theory: Tradition and Modrnization", Proc. 3rd China-Japan Seminar, W. Zhang and Y. Tanigawa (eds.), Springer, 2006, pp.153-173. pdf-file


  28. The analytic continuation and the asymptotic behaviour of cfertain multiple zeta-functions III,
    Comment. Math. Univ. St. Pauli 54 (2005), 163-186. pdf-file


  29. (with A. Laurin{\v c}ikas and J. Steuding) Discrete universality of $L$-functions for new forms,
    Mat. Zametki 78 (2005), 595-603 (in Russian); English Transl.: Math. Notes 78 (2005), 551-558.


  30. Liftings and mean value theorems for automorphic $L$-functions,
    Proc. London Math. Soc. (3)90 (2005), 297-320.


  31. On the mean square of the product of $\zeta(s)$ and a Dirichlet polynomial,
    Comment. Math. Univ. St. Pauli 53 (2004), 1-21. pdf-file


  32. (with A. Laurin{\v c}ikas) The joint universality of twisted automorphic $L$-functions,
    J. Math. Soc. Japan 56 (2004), 923-939. pdf-file


  33. Functional equations for double zeta-functions,
    Math. Proc. Cambridge Phil. Soc. 136 (2004), 1-7.


  34. (with H. Ishikawa) On the estimation of the order of Euler-Zagier multiple zeta-functions,
    Illinois J. Math. 47 (2003), 1151-1166. pdf-file


  35. On Mordell-Tornheim and other multiple zeta-functions,
    in "Proc. Session in Analytic Number Theory and Diophantine Equations" (Bonn, 2002), Bonner Math. Schriften 360, D.R.Heath-Brown, B.Z.Moroz (eds.), Bonn, 2003, n.25, 17pp. pdf-file


  36. Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series,
    Nagoya Math. J. 172 (2003), 59-102.


  37. (with Y. Tanigawa) The analytic continuation and the order estimate of multiple Dirichlet series,
    J. Th{\'e}orie des Nombres de Bordeaux 15 (2003), 267-274.


  38. The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions I,
    J. Number Theory 101 (2003), 223-243.


  39. (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), 83-98 (in Russian); English Transl.: Izv. Math. 67 (2003), 77-90.


  40. (with L. Weng) Zeta-functions defined by two polynomials,
    in "Number Theoretic Methods - Future Trends", Proceedings of the 2nd China-Japan Seminar (Iizuka, 2001), Developments in Math. Vol.8, S.Kanemitsu, C.Jia (eds.), Kluwer Academic Publishers, 2002, pp.233-262. pdf-file


  41. Some problems on mean values and the universality of zeta and multiple zeta-functions,
    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.195-199. pdf-file


  42. The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions 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.188-194. pdf-file


  43. On the analytic continuation of various multiple zeta-functions,
    in "Number Theory for the Millennium II", Proceedings of the Millennial Conference on Number Theory (Urbana-Champaign, USA, 2000), M.A.Bennett et al. (eds.), A K Peters, 2002, pp.417-440; 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.169-192. pdf-file


  44. (with S.Egami) Asymptotic expansions of multiple zeta functions and power mean values of Hurwitz zeta functions,
    J. London Math. Soc.(2)66 (2002), 41-60.


  45. (with M. Katsurada) Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions III,
    Compositio Math. 131 (2002), 239-266.


  46. Asymptotic expansions of double gamma-functions 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.243-268. pdf-file


  47. Probabilistic value-distribution theory of zeta-functions,
    Sugaku 53 (2001), 279-296 (in Japanese); English Transl.: Sugaku Expositions, 17 (2004), 51-71.pdf-file


  48. (with A. Laurin{\v c}ikas) The universality of zeta-functions attached to certain cusp forms,
    Acta Arith. 98 (2001), 345-359. pdf-file


  49. The mean values and the universality of Rankin-Selberg $L$-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.201-221. pdf-file


  50. (with A. Laurin{\v c}ikas) The joint universality and the functional independence for Lerch zeta-functions,
    Nagoya Math. J. 157 (2000), 211-227.


  51. Recent developments in the mean square theory of the Riemann zeta and other zeta-functions,
    in "Number Theory", . P. Bambah et al.(eds.), Hindustan Book Agency and Indian National Science Academy, distributed by Birkhauser, 2000, pp.241-286. pdf-file


  52. (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.199-229. pdf-file


  53. (with A. Ivi{\'c} and Y. Tanigawa) On Riesz means of the coefficients of the Rankin-Selberg series,
    Math. Proc. Cambridge Phil. Soc. 127 (1999), 117-131.


  54. (with Y. Tanigawa) On the zeros of higher derivatives of Hardy's $Z$-function,
    J. Number Theory 75 (1999), 262-278.


  55. (with T. Hattori) A limit theorem for Bohr-Jessen's probability measures of the Riemann zeta-function,
    J. Reine Angew. Math. 507 (1999), 219-232.


  56. (with A. Laurin{\v c}ikas) Joint value-distribution theorems on Lerch zeta-functions,
    Liet. Mat. Rink. 38 (1998), 312-326; = Lithuanian Math.J. 38 (1998), 238-249.


  57. Asymptotic series for double zeta, double gamma, and Hecke $L$-functions,
    Math. Proc. Cambridge Phil. Soc. 123 (1998), 385-405; Corrigendum and addendum, ibid. 132 (2002), 377-384.


  58. (with M. Katsurada) Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions 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.119-134.


  59. (with I. Kiuchi) The resemblance of the behaviour of the remainder terms $E_{\sigma}(t), {\Delta}_{1-2\sigma}(x)$ 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.255-273.


  60. (with M. Katsurada) Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions I,
    Math. Scand. 78 (1996), 161-177.


  61. (with A. Ivic) On the error term in the mean square formula for the Riemann zeta-function in the critical strip,
    Monatsh. Math. 121 (1996), 213-229.


  62. (with T. Hattori) Large deviations of Montgomery type and its application to the theory of zeta-functions,
    Acta Arith. 71 (1995), 79-94.


  63. On the bounded term in the mean square formula for the approximate functional equation of ${\zeta}^2(s)$,
    Arch. Math. 64 (1995), 323-332.


  64. (with T. Meurman) The mean square of the Riemann zeta-function in the critical strip II,
    Acta Arith. 68 (1994), 369-382.


  65. (with G. Harman) Discrepancy estimates for the value-distribution of the Riemann zeta-function IV,
    J. London Math. Soc. (2)50 (1994), 17-24.


  66. (with M. Katsurada) The mean values of Dirichlet $L$-functions at integer points and class numbers of cyclotomic fields,
    Nagoya Math. J. 134 (1994), 151-172.


  67. (with M. Katsurada) Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions,
    Proc. Japan Acad. 69, Ser. A (1993), 303-307.


  68. (with T. Meurman) The mean square of the Riemann zeta-function in the critical strip III,
    Acta Arith. 64 (1993), 357-382.


  69. (with M. Katsurada) Discrete mean values of Hurwitz zeta-functions,
    Proc. Japan Acad. 69, Ser. A (1993), 164-169.


  70. 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.295-313.


  71. (with I. Kiuchi) Mean value results for the approximate functional equation of the square of the Riemann zeta-function,
    Acta Arith. 61 (1992), 337-345.


  72. Asymptotic probability measures of zeta-functions of algebraic number fields,
    J. Number Theory 40 (1992), 187-210.


  73. On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products,
    Acta Arith. 60 (1991), 125-147.


  74. (with M. Katsurada) Asymptotic expansions of the mean values of Dirichlet $L$-functions,
    Math. Z. 208 (1991), 23-39.


  75. The mean square of Dirichlet $L$-functions (A generalization of Balasubramanian's method),
    Proc. Japan Acad. 66, Ser. A (1990), 204-208.


  76. Value-distribution of zeta-functions,
    in "Analytic Number Theory", Proceedings of the Japanese-French Symposium (Tokyo, 1988), Lecture Notes in Math. Vol. 1434, K. Nagasaka, E. Fouvry (eds.), Springer, 1990, pp.178-187.


  77. A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms,
    Nagoya Math. J. 116 (1989), 123-138.


  78. The mean square of the Riemann zeta-function in the critical strip,
    Japanese J. Math. 15 (1989), 1-13.


  79. Discrepancy estimates for the value-distribution of the Riemann zeta-function III,
    Acta Arith. 50 (1988), 315-337.


  80. (with T. Miyazaki) On some hypersurfaces of high-dimensional tori related with the Riemann zeta-function,
    Tokyo J. Math. 10 (1987), 271-279.


  81. Discrepancy estimates for the value-distribution of the Riemann zeta-function I,
    Acta Arith. 48 (1987), 167-190.


  82. Discrepancy estimates for the value-distribution of the Riemann zeta-function II,
    in "Number Theory and Combinatorics, Japan 1984", Proceedings of Conferences (Tokyo/Okayama/Kyoto), J. Akiyama et al. (eds.), World Scientific, 1985, pp.265-278.


  83. A remark on Smith's result on a divisor problem in arithmetic progressions,
    Nagoya Math. J. 98 (1985), 265-278.


  84. A remark on Smith's result on a divisor problem in arithmetic progressions,
    C. R. Math. Rep. Acad. Sci. Canada 6 (1984), 101-102.


  85. The mean square of Dirichlet $L$-functions,
    Proc. Japan Acad. 58, Ser. A (1982), 443-446; Corrections, ibid. 65, Ser. A (1989), 344.

Last update: 2011/1/22