Shifted convolution and the titchmarsh divisor problem over q[t]

J. C. Andrade, L. Bary-Soroker, Z. Rudnick

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number20140308
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume373
Issue number2040
DOIs
StatePublished - 28 Apr 2015

Keywords

  • Cycle structure
  • Divisor function
  • Finite fields
  • Function fields
  • Random permutation
  • Shifted convolution

Fingerprint

Dive into the research topics of 'Shifted convolution and the titchmarsh divisor problem over q[t]'. Together they form a unique fingerprint.

Cite this