Stephan Baier - The Large Sieve for Square Moduli, Revisited

hrj:17906 - Hardy-Ramanujan Journal, April 27, 2026, Volume 48 - 2025 - https://doi.org/10.46298/hrj.2026.17906
The Large Sieve for Square Moduli, RevisitedArticle

Authors: Stephan Baier 1

  • 1 Ramakrishna Mission Vivekananda Educational and Research Institute


We revisit the large sieve for square moduli and obtain conditional improvements under hypotheses on higher additive energies of modular square roots.

https://doi.org/10.46298/hrj.2026.17906
Source: HAL:hal-05562160v1
Volume: Volume 48 - 2025
Published on: April 27, 2026
Accepted on: April 27, 2026
Submitted on: April 3, 2026
Keywords: 11L07,11L40,11J25,11N35, [MATH]Mathematics [math], [en] large sieve, square moduli, additive energy, modular square roots, exponential sums
Licence: Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)

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