Riemann surface of the Riemann zeta function

In this paper we treat the classical Riemann zeta function as a function of three variables: one is the usual complex 1-dimensional, customly denoted as s, another two are complex infinite dimensional, we denote them as b={bn}n=1∞ and z={zn}n=1∞. When b={1}n=1∞ and z={1n}n=1∞ one gets the usual Riem...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Journal of mathematical analysis and applications Ročník 529; číslo 2; s. 126756
Hlavný autor:	Ivashkovich, S.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.01.2024 Elsevier
Predmet:	Analytic continuation Mathematics Riemann zeta function Riemann zeta function Analytic continuation
ISSN:	0022-247X, 1096-0813
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	In this paper we treat the classical Riemann zeta function as a function of three variables: one is the usual complex 1-dimensional, customly denoted as s, another two are complex infinite dimensional, we denote them as b={bn}n=1∞ and z={zn}n=1∞. When b={1}n=1∞ and z={1n}n=1∞ one gets the usual Riemann zeta function. Our goal in this paper is to study the meromorphic continuation of ζ(b,z,s) as a function of the triple (b,z,s).
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2022.126756