Chowla and Sarnak conjectures for Kloosterman sums

Chowla and Sarnak conjectures for Kloosterman sums

We 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.

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Veröffentlicht in:Mathematische Nachrichten 2024-01, Vol.297 (1), p.209-228
Hauptverfasser: El Abdalaoui, Houcein, Shparlinski, Igor E., Steiner, Raphael S.
Format: Artikel
Sprache:eng
Schlagworte:
Chowla conjecture
Kloosterman sum
Number theory
Sarnak conjecture
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Beschreibung
Zusammenfassung:We 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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202200480