| dc.contributor.author |
Dey, Sampa |
|
| dc.contributor.author |
Savalia, Aditi |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2023-02-09T14:23:47Z |
|
| dc.date.available |
2023-02-09T14:23:47Z |
|
| dc.date.issued |
2023-01 |
|
| dc.identifier.citation |
Dey, Sampa and Savalia, Aditi, "An induction principle for the Bombieri-Vinogradov theorem over Fq[t] and a variant of the Titchmarsh divisor problem", arXiv, Cornell University Library, DOI: arXiv:2301.12669, Jan. 2023. |
en_US |
| dc.identifier.uri |
http://arxiv.org/abs/2301.12669 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8558 |
|
| dc.description.abstract |
Let Fq[t] be the polynomial ring over the finite field Fq. For arithmetic functions ψ1,ψ2:Fq[t]→C, we establish that if a Bombieri-Vinogradov type equidistribution result holds for ψ1 and ψ2, then it also holds for their Dirichlet convolution ψ1∗ψ2. As an application of this, we resolve a version of the Titchmarsh divisor problem in Fq[t]. More precisely, we obtain an asymptotic for the average behaviour of the divisor function over shifted products of two primes in Fq[t]. |
|
| dc.description.statementofresponsibility |
by Sampa Dey and Aditi Savalia |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Bombieri-Vinogradov theorem |
en_US |
| dc.subject |
Titchmarsh divisor problem |
en_US |
| dc.subject |
Polynomial ring |
en_US |
| dc.subject |
Dirichlet convolution |
en_US |
| dc.subject |
Finite field |
en_US |
| dc.title |
An induction principle for the Bombieri-Vinogradov theorem over Fq[t] and a variant of the Titchmarsh divisor problem |
en_US |
| dc.type |
Pre-Print Archive |
en_US |
| dc.relation.journal |
arXiv |
|