Shifted convolution and the Titchmarsh divisor problem over 𝔽q[t]

In this paper, we solve a function field analogue of classical problems in analytic number theory, concerning the autocorrelations of divisor functions, in the limit of a large finite field.

Saved in:
Bibliographic Details
Published inPhilosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 373; no. 2040; pp. 1 - 18
Main Authors Andrade, J. C., Bary-Soroker, L., Rudnick, Z.
Format Journal Article
LanguageEnglish
Published THE ROYAL SOCIETY 28.04.2015
Online AccessGet full text

Cover

More Information
Summary:In this paper, we solve a function field analogue of classical problems in analytic number theory, concerning the autocorrelations of divisor functions, in the limit of a large finite field.
ISSN:1364-503X