A Symbolic Approach To Multiple Hurwitz Zeta Values at Non-Positive Integers
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Date
2023
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de Gruyter Poland Sp Z O O
Open Access Color
GOLD
Green Open Access
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Abstract
In this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe's formula and the Bernoulli numbers and we simplify these values by symbolic computation techniques.
Description
Keywords
Multiple Hurwitz Zeta Function, Integral Representation, Special Values, Raabe'S Formula, Bernoulli Numbers And Symbols, Prime Number Theory and L-Functions, Bernoulli's principle, Arithmetic of Multiple Zeta Values and Related Functions, Combinatorial Mathematics and Algebraic Combinatorics, raabe’s formula, Engineering, Number theory, bernoulli numbers and symbols, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, Riemann zeta function, Bernoulli number, Generating function, Algebra over a field, Algebra and Number Theory, Pure mathematics, multiple hurwitz zeta function, Discrete mathematics, integral representation, Algorithm, Aerospace engineering, special values, Physical Sciences, Computation, 11m32, 11m35, Mathematics, Multiple Zeta Values, Hurwitz and Lerch zeta functions, Multiple Dirichlet series and zeta functions and multizeta values, multiple Hurwitz zeta function, Raabe's formula, Bernoulli numbers and symbols
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Citation
Sadaoui, Boualem...et.al. (2023). "A symbolic approach to multiple Hurwitz zeta values at non-positive integers", Open Mathematics, Vol.21, No.1.
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Q2
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Open Mathematics
Volume
21
Issue
1
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