DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS-Reference-Cited by-同舟云学术

DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS

Published:2013-09 Issue:06 Volume:09 Page:1423-1430
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

HAMAHATA YOSHINORI¹

Affiliation:

1. Institute for Teaching and Learning, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan

Abstract

We consider the Dedekind sum s(a, c) in rational function fields. It is very similar to the classical Dedekind sum D(a, c). The objective of this study is to give a good upper bound of the degree of the denominator of s(a, c). As an application of our result, we present a condition on the elements a1, a2, and c of 𝔽q[T] such that s(a1, c) = s(a2, c).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042113500358

Reference4 articles.

1. Higher dimensional Dedekind sums in function fields

2. Basic Structures of Function Field Arithmetic

3. WHEN ARE TWO DEDEKIND SUMS EQUAL?

4. Dedekind Sums

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ${P}$-adic approximation of Dedekind sumsin function fields;Functiones et Approximatio Commentarii Mathematici;2021-12-17

2. Generalized Dedekind sums and transformation formulae in function fields;Journal of Number Theory;2017-04

3. Dedekind sums and the transformation formula in function fields;International Journal of Number Theory;2016-10-19

4. Fractional parts of Dedekind sums in function fields;Monatshefte für Mathematik;2015-06-28

5. Dedekind sums with a parameter in function fields;Topics in Finite Fields;2015