Mordell and Tuenter formulas, Kubert functions and reciprocity theorems for Apostol-Dedekind sums
Gennadiy Ilyuta
TL;DR
This paper explores the relationships between Dedekind sums, Apostol-Dedekind sums, and formulas for numerical semigroups, revealing new connections and reciprocity theorems.
Contribution
It introduces novel formulas linking Dedekind sums with numerical semigroup structures and establishes new reciprocity theorems involving Apostol-Dedekind sums.
Findings
Derived new formulas connecting Dedekind sums and numerical semigroups
Established reciprocity theorems for Apostol-Dedekind sums
Connected Mordell and Tuenter formulas with Kubert functions
Abstract
We connect Dedekind sums and some formulas for numerical semigroups.
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Taxonomy
TopicsMulticulturalism, Politics, Migration, Gender · Commutative Algebra and Its Applications · Scheduling and Timetabling Solutions