Balancing Dirichlet series and related L-functions

被引：0
作者：
Sudhansu S. Rout
G. K. Panda
机构：
[1] National Institute of Technology Rourkela,Department of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2014年 / 45卷
关键词：
Balancing numbers; Dirichlet series; -function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the lacunary Dirichlet series obtained from the reciprocals of sth powers of balancing numbers. This function admits an analytic continuation to the entire complex plane. The series converges to irrational numbers at odd negative integral arguments. Finally, we also study the analytic continuation of the balancing L-function.
引用
收藏
页码：943 / 952
页数：9
相关论文
共 50 条
  • [21] L-functions as distributions
    Booker, Andrew R.
    [J]. MATHEMATISCHE ANNALEN, 2015, 363 (1-2) : 423 - 454
  • [22] ON THE AVERAGE BEHAVIOR OF COEFFICIENTS RELATED TO TRIPLE PRODUCT L-FUNCTIONS
    Venkatasubbareddy, Kampamolla
    Sankaranarayanan, Ayyadurai
    [J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2023, 68 (02) : 195 - 206
  • [23] Real zeros of Eisenstein series and Rankin-Selberg L-functions
    C. Bauer
    Y. Wang
    [J]. Acta Mathematica Hungarica, 2007, 115 : 13 - 27
  • [24] The sphere problem and the L-functions
    Fernando Chamizo
    Elena Cristóbal
    [J]. Acta Mathematica Hungarica, 2012, 135 : 97 - 115
  • [25] Independence of Artin L-functions
    Cimpoeas, Mircea
    Nicolae, Florin
    [J]. FORUM MATHEMATICUM, 2019, 31 (02) : 529 - 534
  • [26] On common zeros of L-functions
    Bao Qin Li
    [J]. Mathematische Zeitschrift, 2012, 272 : 1097 - 1102
  • [27] On common zeros of L-functions
    Li, Bao Qin
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2012, 272 (3-4) : 1097 - 1102
  • [28] Some Results on L-Functions Related to Sharing Two Finite Sets
    Pulak Sahoo
    Samar Halder
    [J]. Computational Methods and Function Theory, 2019, 19 : 601 - 612
  • [29] On higher moments of Dirichlet coefficients attached to symmetric square L-functions over certain sparse sequence
    Guodong Hua
    Bin Chen
    Lijing Pan
    Xiaofang Chen
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 4195 - 4208
  • [30] Mean value estimates of the coefficients of product L-functions
    H.-F. Liu
    [J]. Acta Mathematica Hungarica, 2018, 156 : 102 - 111
12345