On the properties of invariant functions

DOI10.1016/j.bulsci.2023.103347arXiv2209.14625OpenAlexW4387618735MaRDI QIDQ6143516

Zhi-Hong Sun

Publication date: 24 January 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.14625

zbMATH Keywords

Hurwitz zeta functiontrigonometric functionintegralBernoulli polynomialinvariant function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Other special functions (33E99) Functions of bounded variation, generalizations (26A45) Functions of several variables (26B99) Exponential and trigonometric functions (33B10)

Cites Work

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• On the integral of the product of four and more Bernoulli polynomials
• On polylogarithms, Hurwitz zeta functions, and the Kubert identities
• Multiplication formulae for periodic functions
• The universal ordinary distribution
• Generators and Relations for Cyclotomic Units
• Algebraic approaches to periodic arithmetical maps

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