On the products arising from the Kummer conjecture
type: Item
instance of: scholarly article
title: On the products arising from the Kummer conjecture
zbMATH Open document ID: 1280.11048
author: Jun Huai Zhang
author: Yuan Yi
author: Ping Xi
publication date: 2012-11-07T00:00:00Z
review text: Let \(q\) be a sufficiently large integer and \(\chi\) be a Dirichlet character modulo \(q\). In this paper, the authors extend the product \(\prod_{\chi(-1)=-1}L(1, \chi)\) with prime \(q\), arising from the Kummer conjecture, to products of some general Dirichlet series, and give some meaningful estimates for them.
Mathematics Subject Classification ID: 11M20
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 6102786
zbMATH Keywords: Kummer conjecture
zbMATH Keywords: Dirichlet \(L\)-function
zbMATH Keywords: Dirichlet character
MaRDI profile type: Publication
full work available at URL: s10114-012-9491-x
OpenAlex ID: W1964805037
Wikidata QID: Q123251958
cites work: On the First Factor of the Class Number of a Cyclotomic Field
cites work: The large sieve
cites work: On Kummer's conjecture
cites work: On the size of the first factor of the class number of a cyclotomic field
cites work: On the Kummer conjecture
cites work: Q5794730
DOI: 10.1007/S10114-012-9491-X
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6102786