Work

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Year: 2025

Type: article

Abstract: We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants. Then, these are used, coupled with the functional equation for the completed zeta-function to clarify the results of Choudhury, giving rise to closed expressions for the Riemann zeta-function and its derivatives.

Source: Mathematics

DOI: 10.3390/math13091469

Authors: Nianliang Wang, Ruiyang Li, Takako Kuzumaki

Institutions: Shangluo University, Xi'an Technological University, Gifu University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4409966813

FWCI: 3.442

Cites: 5

Cited by: 1

Related to: 10