Cramer functions and Guinand equations

被引：5

作者：

Illies, G ^{[1
]}

机构：

[1] Univ Gesamthsch Siegen, Fachbereich Math, D-57068 Siegen, Germany

来源：

ACTA ARITHMETICA | 2002年 / 105卷 / 02期

关键词：

zeros of zeta and L-functions; Cramer functions; Guinand equations; regularized products; Hecke L-series;

D O I：

10.4064/aa105-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：103 / 118

页数：16

共 15 条

[1]

BARNER K, 1981, J REINE ANGEW MATH, V323, P139

[2]

CARTIER P, 1991, GROTHENDIECK FESTSCH, V2, P1

[3] Studies on the null point of Riemann's zeta function [J].

Cramer, H .

MATHEMATISCHE ZEITSCHRIFT, 1919, 4 :104-130

[4] A DISTRIBUTION THEORETIC PROOF OF GUINANDS FUNCTIONAL-EQUATION FOR CRAMERS V-FUNCTION AND GENERALIZATIONS [J].

DENINGER, C ;

SCHROTER, M .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 52 :48-60

[5] Regularized products and determinants [J].

Illies, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 220 (01) :69-94

[6]

ILLIES G, 1998, THESIS U MUNSTER

[7] ON CRAMER THEOREM FOR GENERAL EULER PRODUCTS WITH FUNCTIONAL-EQUATION [J].

JORGENSON, J ;

LANG, S .

MATHEMATISCHE ANNALEN, 1993, 297 (03) :383-416

[8] Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series [J].

Jorgenson, J ;

Lang, S .

MATHEMATISCHE ANNALEN, 1996, 306 (01) :75-124

[9]

JORGENSON J, 1994, LECT NOTES MATH, V1564

[10] THE KAPPA-FUNCTIONS IN MULTIPLICATIVE NUMBER-THEORY .1. ON COMPLEX EXPLICIT FORMULAS [J].

KACZOROWSKI, J .

ACTA ARITHMETICA, 1990, 56 (03) :195-211

← 1 2 →