منابع مشابه
q-HARDY-BERNDT TYPE SUMS ASSOCIATED WITH q-GENOCCHI TYPE ZETA AND l-FUNCTIONS
Abstract. The aim of this paper is to define new generating functions. By applying the Mellin transformation formula to these generating functions, we define q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta function, q-analogue Genocchi type l-function and two-variable qGenocchi type l-function. Furthermore, we construct new genereting functions of q-Hardy-Berndt type...
متن کاملCalculation of Dirichlet L-Functions
A method for calculating Dirichlet L-series is presented along with the theory of residue class characters and their automatic generation. Tables are given of zeros of Lseries for moduli S 24.
متن کاملGenerating Functions of the Generalized q-Genocchi Numbers and Polynomials with Weak Weight α
متن کامل
Real zeros of quadratic Dirichlet L - functions
A small part of the Generalized Riemann Hypothesis asserts that L-functions do not have zeros on the line segment ( 2 , 1]. The question of vanishing at s = 2 often has deep arithmetical significance, and has been investigated extensively. A persuasive view is that L-functions vanish at 2 either for trivial reasons (the sign of the functional equation being negative), or for deep arithmetical r...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-40