Ｈｉｒｏｆｕｍｉ Ｔｓｕｍｕｒａ （Ｄr．Ｓｃ）
Professor
Department of
Mathematics and Information Sciences
1-1, Minami-Ohsawa,
E-mail: tsumura (+ @tmu.ac.jp)
Tel: +81-426-77-2447, Fax: +81-426-77-2481
【Recent Research Interests】
● Bernoulli numbers, Bernoulli polynomials, multiple Bernoulli numbers
● Riemann zeta-function, Dirichlet L-functions, Various multiple
zeta-functions
● Witten zeta-functions, Root systems, Weyl group
● Eisenstein series, Elliptic functions, Hurwitz numbers
● Maillet determinants, Dem’janenko Matrices of imaginary abelian fields
【Refereed Papers】
[1] On a p-adic interpolation of the generalized Euler numbers and its applications, Tokyo J. Math. 10 (1987), 281-293.
[2]
On the values of a q-analogue
of the p-adic L-function, Memo. Fac. Sci.,
[3]
On some congruences for the
[4] A note on q-analogues of the Dirichlet series and q-Bernoulli numbers, J. Number Theory 39 (1991), 251-256.
[5] On a q-analogue of the Log-Γ-function, Nagoya Math. J. 134 (1994), 57-64.
[6] On evaluation of the Dirichlet series at positive integers by q-calculation, J. Number Theory 48 (1994), 383-391.
[7] On a direct sum decomposition of the Demjanenko matrix, Acta Arith. 77(1996), 71-76.
[8] On p-adic Log-Γ-functions associated to the Lubin-Tate formal groups, Tokyo J. Math. 19 (1996), 147-153.
[9] On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory 60 (1996), 70-80.
[10] A note on q-analogues of Dirichlet series, Proc. Japan Acad., Ser. A, 75 (1999), 23-25.
[11] A certain class of rapidly convergent series representations for ζ(2n+1), J. Comp. Appl. Math. 118 (2000), 323-335 (with H.M. Srivastava).
[12] New rapidly convergent series representations for ζ(2n+1), L(2n,χ) and L(2n+1,χ), Math. Sci. Res. Hot-Line 4 (2000), 17-24 (with H.M. Srivastava).
[13] A note on the Demjanenko matrices related to the cyclotomic Zp-extension, Proc. Japan Acad., Series A, 76 (2000), 99-103.
[14] Certain classes of rapidly convergent series representations for L(2n,χ) and L(2n+1,χ), Acta Arith. 100 (2001), 195-201 (with H.M. Srivastava).
[15] On some modules attached to the Lubin-Tate formal groups, Tokyo J. Math. 23 (2001), 441-465 (with K.Kozuka).
[16] On modification of the q-L-series and its applications, Nagoya Math. J. 164 (2001), 185-197.
[17] On some combinatorial relations for Tohnheim’s double series, Acta Arith. 105 (2002), 239-252.
[18] Inductive construction of rapidly convergent series representations forζ(2n+1), Internat. J. Comput. Math. 80 (2003), 1161-1173 (with H.M. Srivastava).
[19] On alternating analogues of Tornheim's double series, Proc. Amer. Math. Soc. 131 (2003), 3633-3641.
[20] Combinatorial relations for Euler-Zagier sums, Acta Arith. 111 (2004), 27-42.
[21] Evaluation formulas for Tornheim's type of alternating double series, Math. Comp. 73 (2004), 251-258.
[22] An elementary proof of Euler's formula for ζ(2m), Amer. Math. Monthly 111, No. 5 (2004), 430-431
[23] Multiple harmonic series related to multiple Euler numbers, J. Number Theory 106 (2004), 155-168.
[24] On
[25] On evaluation formulas for double L-values, Bull. Austral. Math. Soc. 70 (2004), 213-221.
[26] Multiple Dedekind sums and relative class number formulae, Math. Nachr. 278 (2005), 1673-1680 (with M. Hirabayashi).
[27] On Mordell-Tornheim zeta values, Proc. Amer. Math. Soc. 133 (2005), 2387-2393.
[28] Certain functional relations for the double harmonic series related to the double Euler numbers, J. Austral. Math. Soc., Ser. A. 79 (2005), 319-333.
[29] On some functional relations between Mordell-Tornheim double L-functions and Dirichlet L-functions, J. Number Theory 120 (2006), 161-178.
[30] Generalized multiple Dirichlet series and generalized multiple polylogarithms, Acta Arith. 124 (2006), 139-158 (with K. Matsumoto).
[31] On
[32] Zeta-functions of root systems, in ‘The Conference on L-functions’ (Fukuoka 2006), L. Weng and M. Kaneko (eds), World Sci. Publ., Hackensack, NJ, 2007, pp. 115-140 (with K. Matsumoto and Y. Komori).
[33] On certain polylogarithmic double series,
Arch. Math. (
[34] On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function, Math. Proc. Cambridge Philos. Soc. 142 (2007), 395-405.
[35] On the parity conjecture for multiple L-values of conductor four, Tokyo J. Math. 30 (2007), 21-40.
[36] A new method of producing functional relations among multiple zeta-functions, Quart. J. Math. (Oxford) 59 (2008), 55-83 (with K. Matsumoto).
[37] 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).
[38] On certain analogues of Eisenstein series and their evaluation formulas of Hurwitz type, Bull. London Math. Soc. 40 (2008), 85-93.
[39] Zeta and L-functions and Bernoulli polynomials of root systems, Proc. Japan Acad., Series A 84 (2008), 62-67 (with Y. Komori and K. Matsumoto).
[40] On multiple analogues of Ramanujan's formulas for certain Dirichlet series, J. Théor. Nombres Bordeaux 20 (2008), 217-224.
[41] Functional relations and special values of Mordell-Tornheim triple zeta and L-functions, Proc. Amer. Math. Soc. 136 (2008), 2135-2145 (with K. Matsumoto, T. Nakamura).
[42] On alternating analogues of Tornheim's double series II, to appear in Ramanujan J.
[43] Multiple Dirichlet series interpolating Bell numbers and Stirling numbers, to appear in Rocky Mountain J. Math.
[44] Functional relations among certain double polylogarithms and their character analogues, to appear in Šiauliai Math. Semin. (with K. Matsumoto).