Smallest totient in a residue class

Abstract We obtain a totient analogue for Linnik's theorem in arithmetic progressions. Specifically, for any coprime pair of positive integers such that is odd, there exists such that .

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-04-08
DOI
https://doi.org/10.1112/blms.70069
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Smallest totient in a residue class

Abhishek Jha
Bulletin of the London Mathematical Society
Analytic Number Theory Research
article

Smallest totient in a residue class

Abhishek Jha
article en

Abstract

Abstract We obtain a totient analogue for Linnik's theorem in arithmetic progressions. Specifically, for any coprime pair of positive integers such that is odd, there exists such that .

Bulletin of the London Mathematical SocietyVol. 57(6)
University of Illinois Urbana-Champaign (US)
Openalex Percentile: Top 89%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Smallest totient in a residue class — Abhishek Jha · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS