TL;DR
This paper establishes a new upper bound for Heilbronn's exponential sum and explores its implications for the distribution of Fermat quotients, advancing understanding in number theory.
Contribution
It introduces a novel upper bound for Heilbronn's exponential sum and applies this to analyze Fermat quotient distribution.
Findings
New upper bound for Heilbronn's exponential sum
Applications to Fermat quotient distribution
Enhanced understanding of exponential sums in number theory
Abstract
In the paper we prove a new upper bound for Heilbronn's exponential sum and obtain some applications of our result to distribution of Fermat quotients.
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