Refereed Papers

  1. Two formulas for certain double and multiple polylogarithms in two variables, Comment. Math. Univ. St. Pauli, to appear (with M. Kaneko).
  2. Multiple L-values of level four, poly-Euler numbers, and related zeta functions, Tohoku Math. J., to appear (with M. Kaneko).
  3. Double Dirichlet series associated with arithmetic functions II, Kodai Math. J. 46 (2023), 10--30 (with K. Matsumoto).
  4. Double Dirichlet series associated with arithmetic functions, Kodai Math. J 44 (2021), 437-456 (with K. Matsumoto and A. Nawashiro).
  5. On multiple zeta values of level two, Tsukuba J. Math. 44 (2020), 213-234 (with M. Kaneko).
  6. On polycosecant numbers, J. Integ. Seq. 23 (2020), Article 20.6.4., 17 pages (with M. Kaneko and M. Pallewatta).
  7. Zeta functions connecting multiple zeta values and poly-Bernoulli numbers, in Various Aspects of Multiple Zeta Functions, Adv. Stud. Pure Math. 84, 2020, pp. 181-204 (with M. Kaneko).
  8. An overview and supplements to the theory of functional relations for zeta-functions of root systems, in Various Aspects of Multiple Zeta Functions, Adv. Stud. Pure Math. 84, 2020, pp. 263-295 (with Y. Komori and K. Matsumoto).
  9. Zeta-functions of root systems and Poincar\'e polynomials of Weyl groups, Tohoku Math. J. 72 (2020), 87-126 (with Y. Komori and K. Matsumoto).
  10. On series identities arising from Jacobi's identity of the theta function, Int. J. Number Theory 14 (2018), 1317-1327.
  11. On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application, J. Theor. Nombres Bordeaux 30 (2018), 203-218 (with M. Kaneko and F. Sakurai).
  12. Multi-poly-Bernoulli numbers and related zeta functions, Nagoya Math. J. 232 (2018), 19-54 (with M. Kaneko).
  13. Double series identities arising from Jacobi's identity of the theta function, Results Math. 73:10 (2018), 1-12.
  14. On Arakawa-Kaneko zeta-functions associated with GL_2(C) and their functional relations, J. Math. Soc. Japan 70 (2018), 179-213 (with Y. Komori).
  15. Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers, in `Various aspects of multiple zeta values', K. Ihara (eds.), RIMS Kokyuroku Bessatsu B68, 2017, pp. 27-66 (with H. Furusho, Y. Komori and K. Matsumoto). pdf
  16. Desingularization of complex multiple zeta-functions, Amer. J. Math. 139 (2017), 147-173 (with H. Furusho, Y. Komori and K. Matsumoto).
  17. Fundamentals of p-adic multiple L-functions and evaluation of their special values, Selecta Math. 23 (2017), 39-100 (with H. Furusho, Y. Komori and K. Matsumoto).
  18. On multiple series of Eisenstein type, Ramanujan J. 42 (2017), 479-489 (with H. Bachmann).
  19. Zeta-functions of weight lattices of compact connected semisimple Lie groups, in `Proceedings of the 5th Voronoi Conference on Analytic Number Theory and Spatial Tessellations', Siauliai Math. Semin. 10 (18) (2015), 149-179 (with Y. Komori and K. Matsumoto).
  20. Infinite series involving hyperbolic functions, Lith. Math. J. 55 (2015), 102-118 (with Y. Komori and K. Matsumoto).
  21. Mean value theorems for the double zeta-function, J. Math. Soc. Japan 67 (2015), 383-406 (with K. Matsumoto).
  22. On Witten multiple zeta-functions associated with semisimple Lie algebras V, Glasgow Math. J. 57 (2015), 107-130 (with Y.Komori and K. Matsumoto).
  23. Lattice sums of hyperplane arrangements, Comment. Math. Univ. St. Pauli 63 (2014), 161-213 (with Y.Komori and K. Matsumoto).
  24. A study on multiple zeta values from the viewpoint of zeta-functions of root systems, Funct. Approx. Comment. Math. 51 (2014), 43-76 (with Y. Komori and K. Matsumoto).
  25. Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and q-zeta functions, Forum Mathematicum 26 (2014), 1071-1115 (with Y. Komori and K. Matsumoto).
  26. Certain convolution formulas for multiple series, Ramanujan J. 32 (2013), 353-369.
  27. Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions, J. Ramanujan Math. Soc. 28 (2013), 49-69 (with Y. Komori and K. Matsumoto).
  28. On a certain convolution of polylogarithms, Bull. Austral. Math. Soc. 86 (2012), 461-472.
  29. Functional relations for zeta-functions of weight lattices of Lie groups of type A_3, in `Analytic and Probabilistic Methods in Number Theory', E. Manstavicius et al. (eds), TEV, 2012, pp. 151-172 (with Y. Komori and K. Matsumoto).
  30. Analogues of level-N Eisenstein series, Pacific J. Math. 255 (2012), 489-510.
  31. On Witten multiple zeta-functions associated with semisimple Lie algebras III, in `Multiple Dirichlet Series, L-functions and Automorphic Forms', D. Bump, S. Friedberg and D. Goldfeld (eds), Progress in Math. 300, Birkhauser, 2012, pp. 223-286 (with Y. Komori and K. Matsumoto).
  32. Evaluation formulas of Cauchy-Mellin type for certain series involving hyperbolic functions, Comment. Math. Univ. St. Pauli 60 (2011), 127-142 (with Y. Komori and K. Matsumoto).
  33. Sum formulas for double polylogarithms with a shifting parameter and their derivatives, Moscow J. Combinatorics and Number Theory 1 (2011), 346-368 (with K. Matsumoto).
  34. A survey on the theory of Multiple Bernoulli polynomials and multiple L-functions of root systems, in `Developments in Quantum Integrable Systems', A. Kuniba et al (eds.), RIMS Kokyuroku Bessatsu B28, 2011, pp. 99-120 (with Y. Komori and K. Matsumoto).
  35. Functional equations for double L-functions and values at non-positive integers, Int. J. Number Theory 7 (2011), 1441-1461 (with Y. Komori and K. Matsumoto).
  36. Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems, Math. Zeitschrift 268 (2011), 993-1011 (with Y. Komori and K. Matsumoto).
  37. Multiple zeta values and zeta-functions of root systems,  Proc. Japan Acad., Ser. A, 87 (2011), 103-107 (with Y. Komori and K. Matsumoto).
  38. On Witten multiple zeta-functions associated with semisimple Lie algebras IV, Glasgow Math. J. 53 (2011), 185-206 (with Y. Komori and K. Matsumoto).
  39. Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula, Canad. J. Math. 63 (2011), 241-276 (with D. Essouabri and K. Matsumoto).
  40. Analogues of the Hurwitz formulas for level 2 Eisenstein series, Results in Math. 58 (2010), 365-378.
  41. Functional equations and functional relations for Euler double zeta-function and its generalization of Eisenstein type, Publ. Math. Debrecen 77 (2010), 15-31 (with Y. Komori and K. Matsumoto).
  42. Multiple Dirichlet series interpolating Bell numbers and Stirling numbers, Rocky Mountain J. Math. 40 (2010) 1051-1060.
  43. On Witten multiple zeta-functions associated with semisimple Lie algebras II, J. Math. Soc. Japan 62 (2010) 355-394 (with Y. Komori and K. Matsumoto).
  44. On multiple Bernoulli polynomials and multiple L-functions of root systems, Proc. London Math. Soc. 100 (2010) 303-347 (with Y. Komori and K. Matsumoto).
  45. An introduction to the theory of zeta-functions of root systems, MSJ Memoirs Vol. 21 (2010), 115-140 (with Y. Komori and K. Matsumoto).
  46. Functional relations for zeta-functions of root systems, in `Number Theory: Dreaming in dreams', Proc. 5th China-Japan Seminar, T. Aoki, S. Kanemitsu and J. -Y. Liu (eds.), World Sci. Publ. 2009, pp. 135-183 (with Y. Komori and K. Matsumoto).
  47. Evaluation of certain classes of Eisenstein's type series, Bull. Austral. Math. Soc. 79 (2009), 239-247.
  48. On alternating analogues of Tornheim's double series II, Ramanujan J. 18 (2009), 81-90.
  49. Functional relations among certain double polylogarithms and their character analogues, Siauliai Math. Semin. 3 (11) (2008), 189-205 (with K. Matsumoto).
  50. On multiple analogues of Ramanujan's formulas for certain Dirichlet series, J. Theor. Nombres Bordeaux 20 (2008), 219-226.
  51. On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions, Acta Arith. 132 (2008), 99-125 (with K. Matsumoto, T. Nakamura and H. Ochiai).
  52. On certain analogues of Eisenstein series and their evaluation formulas of Hurwitz type, Bull. London Math. Soc. 40 (2008), 285-293.
  53. Zeta and L-functions and Bernoulli polynomials of root systems, Proc. Japan Acad., Ser. A 84 (2008), 62-67 (with Y. Komori and K. Matsumoto).
  54. Functional relations and special values of Mordell-Tornheim triple zeta and L-functions, Proc. Amer. Math. Soc. 136 (2008), 2135-2145 (with K. Matsumoto and T. Nakamura).
  55. A new method of producing functional relations among multiple zeta-functions, Quart. J. Math. (Oxford) 59 (2008), 55-83 (with K. Matsumoto).
  56. On the parity conjecture for multiple L-values of conductor four, Tokyo J. Math. 30 (2007), 21-40.
  57. On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function, Math. Proc. Cambridge Philos. Soc. 142 (2007), 395-405.
  58. On certain polylogarithmic double series, Arch. Math. (Basel) 88 (2007), 42-51.
  59. Zeta-functions of root systems, in `The Conference on L-functions' (Fukuoka 2006), L. Weng and M. Kaneko (eds), World Scientific, 2007, pp. 115-140 (with K. Matsumoto and Y. Komori).
  60. On Witten multiple zeta-functions associated with semisimple Lie algebras I, Ann. Inst. Fourier (Grenoble) 56 (2006), 1457-1504 (with K. Matsumoto).
  61. Generalized multiple Dirichlet series and generalized multiple polylogarithms, Acta Arith. 124 (2006), 139-158 (with K. Matsumoto).
  62. On some functional relations between Mordell-Tornheim double L-functions and Dirichlet L-functions, J. Number Theory 120 (2006), 161-178.
  63. Certain functional relations for the double harmonic series related to the double Euler numbers, J. Austral. Math. Soc., Ser. A. 79 (2005), 319-333.
  64. On Mordell-Tornheim zeta values, Proc. Amer. Math. Soc. 133 (2005), 2387-2393.
  65. Multiple Dedekind sums and relative class number formulae, Math. Nachr. 278 (2005), 1673-1680 (with M. Hirabayashi).
  66. On evaluation formulas for double L-values, Bull. Austral. Math. Soc. 70 (2004), 213-221.
  67. On Witten's type of zeta values attached to SO(5), Arch. Math. (Basel) 82 (2004), 147-152.
  68. Multiple harmonic series related to multiple Euler numbers, J. Number Theory 106 (2004), 155-168.
  69. An elementary proof of Euler's formula for \zeta(2m), Amer. Math. Monthly 111, No. 5 (2004), 430-431.
  70. Evaluation formulas for Tornheim's type of alternating double series, Math. Comp. 73 (2004), 251-258.
  71. Combinatorial relations for Euler-Zagier sums, Acta Arith. 111 (2004), 27-42.
  72. On alternating analogues of Tornheim's double series, Proc. Amer. Math. Soc. 131 (2003), 3633-3641.
  73. Inductive construction of rapidly convergent series representations for \zeta(2n+1), Internat. J. Comput. Math. 80 (2003), 1161-1173 (with H.M. Srivastava).
  74. On some combinatorial relations for Tohnheim's double series, Acta Arith. 105 (2002), 239-252.
  75. On modification of the q-L-series and its applications, Nagoya Math. J. 164 (2001), 185-197.
  76. On some modules attached to the Lubin-Tate formal groups, Tokyo J. Math. 24 (2001), 441-465 (with K.Kozuka).
  77. Certain classes of rapidly convergent series representations for L(2n,\chi) and L(2n+1, \chi), Acta Arith. 100 (2001), 195-201 (with H.M. Srivastava).
  78. A note on the Demjanenko matrices related to the cyclotomic Zp-extension, Proc. Japan Acad., Series A, 76 (2000), 99-103.
  79. New rapidly convergent series representations for \zeta(2n+1), L(2n,\chi) and L(2n+1,\chi), Math. Sci. Res. Hot-Line 4 (2000), 17-24(with H.M. Srivastava).
  80. A certain class of rapidly convergent series representations for \zeta(2n+1), J. Comp. Appl. Math. 118 (2000), 323-335 (with H.M. Srivastava).
  81. A note on q-analogues of Dirichlet series, Proc. Japan Acad., Ser. A, 75 (1999), 23-25.
  82. On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory 60 (1996), 70-80.
  83. On p-adic Log-\Gamma-functions associated to the Lubin-Tate formal groups, Tokyo J. Math. 19 (1996), 147-153.
  84. On a direct sum decomposition of the Demjanenko matrix, Acta Arith. 77(1996), 71-76.
  85. On evaluation of the Dirichlet series at positive integers by q-calculation, J. Number Theory 48 (1994), 383-391.
  86. On a q-analogue of the Log-\Gamma-function, Nagoya Math. J. 134 (1994), 57-64.
  87. A note on q-analogues of the Dirichlet series and q-Bernoulli numbers, J. Number Theory 39 (1991), 251-256.
  88. On some congruences for the Bell numbers and for the Stirling numbers, J. Number Theory 38 (1991), 206-211.
  89. On the values of a q-analogue of the p-adic L-function, Memo. Fac. Sci., Kyushu Univ. 44 (1990), 49-60.
  90. On a p-adic interpolation of the generalized Euler numbers and its applications, Tokyo J. Math. 10 (1987), 281-293.

Doctoral thesis

  On q-Analogues of the Dirichlet Series, Tokyo Metropolitan University (1994).

Books

  1. `Algebraic and Analytic Aspects of Zeta Functions and L-functions', MSJ Memoirs, vol. 21, G. Bhowmik, K. Matsumoto and H. Tsumura (eds.), Mathematical Society of Japan, 2010.


RIMS Kokyuroku

  1. On a p-adic interpolation of the generalized Euler numbers and its applications(in Japanese), RIMS Kokyuroku 589 (1986), pp. 94-104.

  2. On a q-analogue of the Dirichlet series (in Japanese), RIMS Kokyuroku 844 (1993), pp. 50-57.

  3. On Demjanenko's matrix for imaginary abelian number fields (in Japanese), RIMS Kokyuroku 971 (1996), pp. 125-133.

  4. Functional relations for various multiple zeta-functions, RIMS Kokyuroku 1512 (2006), pp. 179-190 (with K. Matsumoto).

  5. On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function and their $\chi$-analogues (in Japanese), RIMS Kokyuroku 1549 (2007), pp. 122-137

  6. On generalized multiple Dirichlet series and generalized multiple polylogarithms (in Japanese), RIMS Kokyuroku 1549 (2007), pp. 145-152 (with K. Matsumoto).

  7. Certain double series of Euler type and of Eisenstein type and Hurwitz numbers, RIMS Kokyuroku 1639 (2009), pp. 104-122 (with Y. Komori and K. Matsumoto).

  8. On multiple Bernoulli polynomials and multiple $L$-functions of root systems, RIMS Kokyuroku 1665 (2009), pp. 114-126 (with Y. Komori and K. Matsumoto).

  9. Multiple Bernoulli polynomials and multiple zeta-functions of root systems, RIMS Kokyuroku 1689 (2010), pp. 117-132 (with Y. Komori and K. Matsumoto).

  10. Zeta-functions of root systems and multiple zeta values (in Japanese), RIMS Kokyuroku 1813 (2012), pp. 89-108 (with Y. Komori and K. Matsumoto).

  11. Mean value theorems for double zeta-functions, RIMS Kokyuroku 1874 (2014), pp. 45-54 (with K. Matsumoto).

  12. On multiple zeta values of level two (in Japanese), RIMS Kokyuroku 2131 (2019), 14pp. (with M. Kaneko).


Preprints in arXivs
  1. On Witten multiple zeta-functions associated with semisimple Lie algebras III, arXiv:math/0907.0955 (with Y. Komori and K. Matsumoto).

  2. On Witten multiple zeta-functions associated with semisimple Lie algebras IV, arXiv:math/0907.0972 (with Y. Komori and K. Matsumoto).

  3. Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems, arXiv:math/0908.0670 (with Y. Komori and K. Matsumoto).

  4. Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions, arXiv:math/1006.3336 (with Y. Komori and K. Matsumoto).

  5. Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and $q$-zeta functions, arXiv:math/1006.3339 (with Y. Komori and K. Matsumoto).

  6. Zeta-functions of weight lattices of compact connected semisimple Lie groups, arXiv:math/1011.0323 (with Y. Komori and K. Matsumoto).

  7. Sum formulas for double polylogarithms with a shifting parameter and their derivatives, arXiv:math/1110.3493 (with K. Matsumoto).

  8. Functional relations for zeta-functions of weight lattices of Lie groups of type A_3, arXiv:math/1202.0874 (with Y. Komori and K. Matsumoto).

  9. Mean value theorems for the double zeta-function, arXiv:math/1203.2242 (with K. Matsumoto).

  10. A study on multiple zeta values from the viewpoint of zeta-functions of root systems, arXiv:math/1205.0182 (with Y. Komori and K. Matsumoto).

  11. On Witten multiple zeta-functions associated with semisimple Lie algebras V, arXiv:math/1302.4285 (with Y. Komori and K. Matsumoto).

  12. Desingularization of complex multiple zeta-functions, fundamentals of $p$-adic multiple $L$-functions, and evaluation of their special values, arXiv:math/1309.3982 (with H. Furusho, Y. Komori and K. Matsumoto) [→ This article is divided into arXiv/1508.06920 and arXiv/1508.07185].

  13. Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers, arXiv:math/1404.4758 (with H. Furusho, Y. Komori and K. Matsumoto).

  14. Lattice sums of hyperplane arrangements, arXiv:math/1408.1801 (with Y. Komori and K. Matsumoto).

  15. Multi-poly-Bernoulli numbers and related zeta functions,arXiv:math/1503.02156 (with M. Kaneko).

  16. On multiple series of Eisenstein type, arXiv:math/1505.04040 (with H. Bachmann).

  17. Desingularization of complex multiple zeta-functions, arXiv:math/1508.06920 (with H. Furusho, Y. Komori and K. Matsumoto).

  18. Fundamentals of p-adic multiple L-functions, and evaluation of their special values, arXiv:math/1508.07185 (with H. Furusho, Y. Komori and K. Matsumoto).

  19. On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application, arXiv:math/1604.00622 (with M. Kaneko and F. Sakurai).

  20. On Arakawa-Kaneko zeta-functions associated with GL_2(C) and their functional relations, arXiv:math/1604.05533 (with Y. Komori).

  21. Zeta-functions of root systems and Poincar\'e polynomials of Weyl groups, arXiv:math/1707.09719 (with Y. Komori and K. Matsumoto).

  22. Double Dirichlet series associated with arithmetic functions, arXiv:math/1801.04444 (with K. Matsumoto and A. Nawashiro).

  23. An overview and supplements to the theory of functional relations for zeta-functions of root systems, arXiv:math/1809.01815 (with Y. Komori and K. Matsumoto).

  24. Zeta functions connecting multiple zeta values and poly-Bernoulli numbers, arXiv:math/1811.07736 (with M. Kaneko).

  25. On a variant of multiple zeta values of level two, arXiv:math/1903.03747 (with M. Kaneko).

  26. On poly-cosecant numbers, arXiv:math/1907.13441 (with M. Kaneko and M. Pallewatta).

  27. Double Dirichlet series associated with arithmetic functions II, arXiv:math/2208.05149 (with K. Matsumoto).

  28. Multiple L-values of level four, poly-Euler numbers, and related zeta functions, arXiv:math/2208.05146 (with M. Kaneko).





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