The H and J functionals in the theory of complete exponential sums
James Wright
TL;DR
This paper introduces two nonlinear functionals, H and J, to advance the theoretical understanding of complete exponential sums, providing new tools for analyzing their properties.
Contribution
The paper presents the novel H and J functionals, offering new analytical methods in the study of complete exponential sums.
Findings
Defined the H and J functionals for exponential sums
Established properties and potential applications of these functionals
Enhanced theoretical framework for analyzing exponential sums
Abstract
In this paper we introduce two nonlinear functionals, the H and J functional, in the theory of complete exponential sums.
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Taxonomy
Topicsadvanced mathematical theories · Analytic Number Theory Research · Mathematical and Theoretical Analysis