Chowla and Sarnak conjectures for Kloosterman sums-Reference-Cited by-同舟云学术

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Chowla and Sarnak conjectures for Kloosterman sums

Published:2023-08-16 Issue:1 Volume:297 Page:209-228
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

El Abdalaoui Houcein¹,Shparlinski Igor E.²^ORCID,Steiner Raphael S.³

Affiliation:

1. Laboratoire de Mathématiques Raphaël Salem Université de Rouen Normandie Saint‐Étienne‐du‐Rouvray France

2. Department of Pure Mathematics University of New South Wales Sydney New South Wales Australia

3. Department of Mathematics Eidgenössische Technische Hochschule Zürich Switzerland

Abstract

AbstractWe formulate several analogs of the Chowla and Sarnak conjectures, which are widely known in the setting of the Möbius function, in the setting of Kloosterman sums. We then show that for Kloosterman sums, in some cases, these conjectures can be established unconditionally.

Funder

Australian Research Council

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202200480

Reference65 articles.

1. E. H.elAbdalaoui On Veech's proof of Sarnak's theorem on the Möbius flow Preprint 2017(available fromhttps://arxiv.org/abs/1711.06326).

2. Möbius disjointness conjecture for local dendrite maps

3. E. H.elAbdalaouiandM.Nerurkar Sarnak's Möbius disjointness for dynamical systems with singular spectrum and dissection of Möbius flow Preprint 2020(available fromhttps://arxiv.org/abs/2006.07646).

4. Disjointness of the Möbius Transformation and Möbius Function

5. Introduction to Analytic Number Theory

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