Chowla and Sarnak conjectures for Kloosterman sums

Houcein El Abdalaoui, Igor E. Shparlinski and Raphael S. Steiner

Mathematische Nachrichten, 2024, vol. 297, issue 1, 209-228

Abstract: 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.

Date: 2024
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https://doi.org/10.1002/mana.202200480

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