On the exceptional set in Littlewood's discrete conjecture

Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-04-17
DOI
https://doi.org/10.1112/blms.70359
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On the exceptional set in Littlewood's discrete conjecture

I D Shkredov
Bulletin of the London Mathematical Society
Algebraic Geometry and Number Theory
article

On the exceptional set in Littlewood's discrete conjecture

I D Shkredov
article en

Abstract

Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.

Bulletin of the London Mathematical SocietyVol. 58(5)
Purdue University West Lafayette (US)
Openalex Percentile: Top 7%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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