-
1
-
-
0041489182
-
On analytic continuation of multiple L-functions and related zeta-functions
-
Analytic Number Theory. Beijing/Kyoto, 1999, Kluwer Acad. Publ., Dordrecht
-
Akiyama S., and Ishikawa H. On analytic continuation of multiple L-functions and related zeta-functions. Analytic Number Theory. Beijing/Kyoto, 1999. Dev. Math. vol. 6 (2002), Kluwer Acad. Publ., Dordrecht 1-16
-
(2002)
Dev. Math.
, vol.6
, pp. 1-16
-
-
Akiyama, S.1
Ishikawa, H.2
-
3
-
-
0013004628
-
Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
-
Berndt B.C. Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. J. Number Theory 7 (1975) 413-445
-
(1975)
J. Number Theory
, vol.7
, pp. 413-445
-
-
Berndt, B.C.1
-
4
-
-
33746798251
-
-
B. Brubaker, D. Bump, On Kubota's Dirichlet series, preprint, J. Reine Angew. Math., submitted for publication
-
-
-
-
5
-
-
33746815836
-
-
B. Brubaker, D. Bump, G. Chinta, S. Friedberg, J. Hoffstein, Weyl group multiple Dirichlet series I, preprint
-
-
-
-
6
-
-
33746834237
-
-
B. Brubaker, D. Bump, S. Friedberg, Weyl group multiple Dirichlet series II: The stable case, preprint
-
-
-
-
7
-
-
4544331452
-
Multiple Dirichlet series and moments of zeta and L-functions
-
Diaconu A., Goldfeld D., and Hoffstein J. Multiple Dirichlet series and moments of zeta and L-functions. Compos. Math. 139 (2003) 297-360
-
(2003)
Compos. Math.
, vol.139
, pp. 297-360
-
-
Diaconu, A.1
Goldfeld, D.2
Hoffstein, J.3
-
8
-
-
0032219342
-
Multiple polylogarithms, cyclotomy, and modular complexes
-
Goncharov A.B. Multiple polylogarithms, cyclotomy, and modular complexes. Math. Res. Lett. 5 (1998) 497-516
-
(1998)
Math. Res. Lett.
, vol.5
, pp. 497-516
-
-
Goncharov, A.B.1
-
9
-
-
0036998506
-
A multiple character sum and a multiple L-function
-
Ishikawa H. A multiple character sum and a multiple L-function. Arch. Math. (Basel) 79 (2002) 439-448
-
(2002)
Arch. Math. (Basel)
, vol.79
, pp. 439-448
-
-
Ishikawa, H.1
-
10
-
-
0001799697
-
Rapidly convergent series representations for ζ (2 n + 1) and their χ-analogue
-
Katsurada M. Rapidly convergent series representations for ζ (2 n + 1) and their χ-analogue. Acta Arith. 90 (1999) 79-89
-
(1999)
Acta Arith.
, vol.90
, pp. 79-89
-
-
Katsurada, M.1
-
12
-
-
0041704854
-
The analytic continuation and the asymptotic behaviour of certain multiple zeta functions I
-
Matsumoto K. The analytic continuation and the asymptotic behaviour of certain multiple zeta functions I. J. Number Theory 101 (2003) 223-243
-
(2003)
J. Number Theory
, vol.101
, pp. 223-243
-
-
Matsumoto, K.1
-
13
-
-
1042290884
-
Functional equations for double zeta-functions
-
Matsumoto K. Functional equations for double zeta-functions. Math. Proc. Cambridge Philos. Soc. 136 (2004) 1-7
-
(2004)
Math. Proc. Cambridge Philos. Soc.
, vol.136
, pp. 1-7
-
-
Matsumoto, K.1
-
14
-
-
33746824348
-
-
K. Matsumoto, Analytic properties of multiple zeta-functions in several variables, in: Y. Tanigawa, W. Zhang (Eds.), Proc. of the Third China-Japan Seminar, Xi'an 2004, The Tradition and Modernization in Number Theory, in press
-
-
-
-
15
-
-
85009887617
-
The analytic continuation and the order estimate of multiple Dirichlet series
-
Matsumoto K., and Tanigawa Y. The analytic continuation and the order estimate of multiple Dirichlet series. J. Theor. Nombres Bordeaux 15 (2003) 267-274
-
(2003)
J. Theor. Nombres Bordeaux
, vol.15
, pp. 267-274
-
-
Matsumoto, K.1
Tanigawa, Y.2
-
16
-
-
33746840314
-
-
K. Matsumoto, H. Tsumura, Generalized multiple Dirichlet series and generalized multiple polylogarithms, preprint, Tokyo Metropolitan Univ. Math. Ser. 13, 2004, submitted for publication
-
-
-
-
17
-
-
84960587646
-
On the evaluation of some multiple series
-
Mordell L.J. On the evaluation of some multiple series. J. London Math. Soc. 33 (1958) 368-371
-
(1958)
J. London Math. Soc.
, vol.33
, pp. 368-371
-
-
Mordell, L.J.1
-
18
-
-
1642444979
-
Evaluations of double L-values
-
Terhune D. Evaluations of double L-values. J. Number Theory 105 (2004) 275-301
-
(2004)
J. Number Theory
, vol.105
, pp. 275-301
-
-
Terhune, D.1
-
19
-
-
0011352519
-
Harmonic double series
-
Tornheim L. Harmonic double series. Amer. J. Math. 72 (1950) 303-314
-
(1950)
Amer. J. Math.
, vol.72
, pp. 303-314
-
-
Tornheim, L.1
-
20
-
-
0041832241
-
On some combinatorial relations for Tornheim's double series
-
Tsumura H. On some combinatorial relations for Tornheim's double series. Acta Arith. 105 (2002) 239-252
-
(2002)
Acta Arith.
, vol.105
, pp. 239-252
-
-
Tsumura, H.1
-
21
-
-
8744228065
-
On evaluation formulas for double L-values
-
Tsumura H. On evaluation formulas for double L-values. Bull. Austral. Math. Soc. 70 (2004) 213-221
-
(2004)
Bull. Austral. Math. Soc.
, vol.70
, pp. 213-221
-
-
Tsumura, H.1
-
22
-
-
0942268040
-
Evaluation formulas for Tornheim's type of alternating double series
-
Tsumura H. Evaluation formulas for Tornheim's type of alternating double series. Math. Comp. 73 (2004) 251-258
-
(2004)
Math. Comp.
, vol.73
, pp. 251-258
-
-
Tsumura, H.1
-
23
-
-
33746825199
-
-
H. Tsumura, On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function, and their χ-analogues (in Japanese), in: Research on the Multiple Zeta Values, Kyoto, 2004, RIMS Kokyuroku, 2005, in press
-
-
-
-
24
-
-
31144448131
-
Certain functional relations for the double harmonic series related to the double Euler numbers
-
Tsumura H. Certain functional relations for the double harmonic series related to the double Euler numbers. J. Austral. Math. Soc. Ser. A. 79 (2005) 319-333
-
(2005)
J. Austral. Math. Soc. Ser. A.
, vol.79
, pp. 319-333
-
-
Tsumura, H.1
-
26
-
-
33746795571
-
-
M. Wu, On analytic continuation of Mordell-Tornheim and Apostol-Vu L-functions, Master thesis, Nagoya University, 2003 (in Japanese)
-
-
-
|