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Multiple Dedekind sums and relative class number formulae

✍ Scribed by Mikihito Hirabayashi; Hirofumi Tsumura

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
140 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We construct some multiple Dedekind sums and relate them to the relative class number of an imaginary abelian number field. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

A Sum Analogous to the Dedekind Sum and
A Sum Analogous to the Dedekind Sum and its Mean Value Formula
✍ Wenpeng Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 124 KB

The main purpose of this paper is using the mean value theorem of the Dirichlet L-functions to study the distribution property of a sums analogous to the Dedekind sums, and give an interesting mean square value formula.

On a Sum Analogous to the Dedekind Sum a
On a Sum Analogous to the Dedekind Sum and Its First Power Mean Value Formula
✍ Zhang Wenpeng; Yi Yuan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 96 KB

The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of the sums analogous to Dedekind sums and give a sharper first power mean value formula.

Class Numbers and Short Sums of Kronecke
Class Numbers and Short Sums of Kronecker Symbols
✍ A. Schinzel; J. Urbanowicz; P. Van Wamelen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 313 KB

The sets P = are of interest for the following reason. For each ==0, 1 and (q 1 , q 2 ) # P = the set of all D # F prime to r satisfying card C(D, q 1 , q 2 )== is, by virtue of (1.7), the intersection of F with the union of some arithmetic progressions with the first term D 0 and the difference r((