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

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

doi:10.1098/rsta.2014.0308

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

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

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-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 language	English
Article number	20140308
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	373
Issue number	2040
DOIs	https://doi.org/10.1098/rsta.2014.0308
State	Published - 28 Apr 2015

Keywords

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

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering
General Physics and Astronomy

Access to Document

10.1098/rsta.2014.0308

Cite this

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title = "Shifted convolution and the titchmarsh divisor problem over q[t]",

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.",

keywords = "Cycle structure, Divisor function, Finite fields, Function fields, Random permutation, Shifted convolution",

author = "Andrade, {J. C.} and L. Bary-Soroker and Z. Rudnick",

year = "2015",

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AU - Andrade, J. C.

AU - Bary-Soroker, L.

AU - Rudnick, Z.

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N2 - 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.

AB - 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.

KW - Cycle structure

KW - Divisor function

KW - Finite fields

KW - Function fields

KW - Random permutation

KW - Shifted convolution

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DO - 10.1098/rsta.2014.0308

M3 - مقالة

SN - 1364-503X

VL - 373

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2040

M1 - 20140308

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