Triple sums of Kloosterman sums and the discrepancy of modular inverses

Valentin Blomer; Morten S. Risager; Igor E. Shparlinski

doi:10.48550/arXiv.2411.17823

Triple sums of Kloosterman sums and the discrepancy of modular inverses

Valentin Blomer, Morten S. Risager, Igor E. Shparlinski

Institut for Matematiske Fag

Publikation: Working paper › Preprint

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Abstract

We investigate the distribution of modular inverses modulo positive integers $c$ in a large interval. We provide upper and lower bounds for their box, ball and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.

Originalsprog	Engelsk
Udgiver	arxiv.org
Antal sider	27
DOI	https://doi.org/10.48550/arXiv.2411.17823
Status	Udgivet - 2024

Bibliografisk note

25 pages, 3 figures

Emneord

math.NT
11K38, 11L05, 11F12

Adgang til dokumentet

10.48550/arXiv.2411.17823Licens: Ikke-specificeret

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Citationsformater

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