Moment of double exponential sums
Nilanjan Bag, Dwaipayan Mazumder
TL;DR
This paper investigates the moments of double exponential sums with monomials over various sets and intervals in finite fields, extending previous work to broader contexts.
Contribution
It introduces new methods for calculating moments of double exponential sums over arbitrary sets and intervals in finite fields, generalizing earlier results.
Findings
Derived formulas for moments of double exponential sums
Extended analysis to arbitrary sets and intervals in finite fields
Connected sums to problems in number theory and finite field analysis
Abstract
This paper is devoted to finding moments of double exponential sums with monomials over arbitrary sets and intervals in finite fields. The study of such sums dates back to the work of Heath-Brown, who studied such sums in a work on least square-free numbers in an arithmetic progression.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Probability and Risk Models