Work

A Note on the Riemann $ξ$-Function

Year: 2019

Type: article

Abstract: This note investigates a number of integrals of and integral equations satisfied by Riemann's $ξ-$function. A different, less restrictive, derivation of one of his key identities is provided. This work centers on the critical strip and it is argued that the line $s=3/2+i t$ , e.g., contains a holographic image of this region.

Source: Scientia Series A: Mathematical Sciences

DOI: 10.48550/arxiv.1901.07011

Author: Glasser, M. L.

Institutions: Universidad de Valladolid, Clarkson University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Junta de Castilla y León

Awards: G6948769619, G7758289794, G8875830446