Closed Forms Evaluations Of Some Exponential Sums
N. A. Carella
TL;DR
This paper presents new closed-form formulas for certain exponential sums related to elliptic and hyperelliptic curves, advancing the mathematical understanding of these sums.
Contribution
It introduces novel closed-form evaluations for exponential sums associated with elliptic and hyperelliptic curves.
Findings
New closed-form evaluations derived for specific exponential sums
Enhanced mathematical tools for analyzing elliptic and hyperelliptic curves
Potential applications in number theory and cryptography
Abstract
This note provides new closed forms evaluations of a few classes of exponential sums associated with elliptic curves and hyperelliptic curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Advanced Algebra and Geometry