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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Issue number2040
StatePublished - 28 Apr 2015


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


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