Work

Mean value theorems with smooth numbers

Year: 2025

Type: article

Abstract: We obtain new mean value theorems for exponential sums with very smooth numbers, which provide a power saving against the trivial bound in region where previous bounds do not apply.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2025.130218

Authors: Fatima Majeed, Igor E. Shparlinski

Institutions: University of Kufa, UNSW Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Australian Research Council

Awards: Ubiquity of Kloosterman sums in Number Theory and Beyond, Pseudorandomness in Number Theory, Dynamics and Cryptography

OpenAlex ID: W4416091537

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Cites: 17

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