Multiple Dedekind Type Sums and Their Related Zeta Functions

被引：1

作者：

Bayad, Abdelmejid ^{[1
]}

Simsek, Yilmaz ^{[2
]}

机构：

[1] Univ Paris Saclay, Lab Math & Modelisat Evry LAMME, CNRS UMR 8071, Batiment IBGBI, F-91037 Evry, France

[2] Univ Akdeniz, Fac Arts & Sci, Dept Math, TR-07058 Antalya, Turkey

来源：

MATHEMATICS | 2021年 / 9卷 / 15期

关键词：

twisted (h; q)-Bernoulli numbers and polynomials; Barnes' type multiple zeta function; higher-order Bernoulli numbers and polynomials; Dedekind sums; reciprocity law; Q)-BERNOULLI NUMBERS; APOSTOL-BERNOULLI; TWISTED (H; POLYNOMIALS; PRODUCTS;

D O I：

10.3390/math9151744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interpolation functions to construct multiple twisted Dedekind type sums. We investigate some properties of these sums. By use of the properties of multiple twisted zeta functions and the Bernoulli functions involving the Bernoulli polynomials, we derive reciprocity laws of these sums. Further developments and observations on these new Dedekind type sums are given.

引用

页数：19

共 32 条

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