ON SOME COMPLEX EXPLICIT FORMUL AE CONNECTED WITH DIRICHLET COEFFICIENTS OF INVERSES OF SPECIAL TYPE L-FUNCTIONS FROM THE SELBERG CLASS

被引：0

作者：

Gierszewski, Karol ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Umultowska 87, PL-61614 Poznan, Poland

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2013年 / 49卷 / 02期

关键词：

coefficients of L-functions; Selberg class;

D O I：

10.7169/facm/2013.49.2.4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain, by means of the technique introduced in by J. Kaczorowski, a meromorphic continuation and the functional equation for the function m(F, .), where F is from the Selberg class with a functional equation expressible with exactly one Gamma function.

引用

页码：241 / 249

页数：9

共 21 条

[1] Exponential sums with the Dirichlet coefficients of Rankin–Selberg L-functions
Guangshi Lü
Qiang Ma
[J]. Monatshefte für Mathematik, 2024, 204 : 127 - 155
[2] Exponential sums with the Dirichlet coefficients of Rankin-Selberg L-functions
Lu, Guangshi
Ma, Qiang
[J]. MONATSHEFTE FUR MATHEMATIK, 2024, 204 (01): : 127 - 155
[3] Mean value of Dirichlet series coefficients of Rankin–Selberg L-functions
Huixue Lao
[J]. Lithuanian Mathematical Journal, 2017, 57 : 351 - 358
[4] Mean value of Dirichlet series coefficients of Rankin-Selberg L-functions
Lao, Huixue
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2017, 57 (03) : 351 - 358
[5] An explicit lower bound for special values of Dirichlet L-functions
Byeon, Dongho
Kim, Jigu
[J]. JOURNAL OF NUMBER THEORY, 2018, 189 : 272 - 303
[6] Large values of L-functions from the Selberg class
Aistleitner, Christoph
Pankowski, Lukasz
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 345 - 364
[7] Hamiltonians arising from L-functions in the Selberg class
Suzuki, Masatoshi
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 281 (08)
[8] EXTREME VALUES OF L-FUNCTIONS FROM THE SELBERG CLASS
Pankowski, Lukasz
Steuding, Joern
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (05) : 1113 - 1124
[9] Riesz-type criteria for L-functions in the Selberg class
Gupta, Shivajee
Vatwani, Akshaa
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2024, 76 (03): : 1062 - 1088
[10] Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
Gritsenko, SA
[J]. IZVESTIYA MATHEMATICS, 1996, 60 (04) : 655 - 694

← 1 2 3 →