Mean value theorems with smooth numbers

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.

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Publication Details

Journal
Journal of Mathematical Analysis and Applications
Published
2025-11-11
DOI
https://doi.org/10.1016/j.jmaa.2025.130218
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Mean value theorems with smooth numbers

Igor E. Shparlinski, Fatima Majeed
Journal of Mathematical Analysis and Applications
Analytic Number Theory Research
article

Mean value theorems with smooth numbers

Igor E. Shparlinski, Fatima Majeed
article en

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.

Journal of Mathematical Analysis and ApplicationsVol. 556(1)
UNSW Sydney (AU), University of Kufa (IQ)
Openalex Percentile: Top 59%
Analytic Number Theory Research
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Mean value theorems with smooth numbers — Igor E. Shparlinski, Fatima Majeed · Journal of Mathematical Analysis and Applications (2025) | TGRS Research Map | TGRS