DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Sunghan | ko |
dc.contributor.author | Jung, Hwanyup | ko |
dc.date.accessioned | 2018-03-21T02:20:40Z | - |
dc.date.available | 2018-03-21T02:20:40Z | - |
dc.date.created | 2018-03-05 | - |
dc.date.created | 2018-03-05 | - |
dc.date.created | 2018-03-05 | - |
dc.date.issued | 2018-05 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.186, pp.269 - 303 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/240584 | - |
dc.description.abstract | Let k = F-q(T) be the rational function field over a finite field F-q, where q is a power of 2. In this paper we solve the problem of averaging the quadratic L-functions L(s, chi(u)) over fundamental discriminants. Any separable quadratic extension K of k is of the form K = k(x(u)), where x(u) is a zero of X-2 + X + u = 0 for some u is an element of k. We characterize the family I (resp. F, F') of rational functions u is an element of k such that any separable quadratic extension K of k in which the infinite prime infinity = (1/T) of k ramifies (resp. splits, is inert) can be written as K = k(x(u)) with a unique u is an element of I (resp. u is an element of F, u is an element of F'). For almost all s is an element of C with Re(s) >= 1/2, we obtain the asymptotic formulas for the summation of L(s,chi(u)) over all k(x(u)) with u is an element of I, all k(x(u)) with u is an element of F or all k(x(u)) with u is an element of F' of given genus. As applications, we obtain the asymptotic mean value formulas of L-functions at s = 1/2 and s = 1 and the asymptotic mean value formulas of the class number h(u) or the class number times regulator h(u)R(u). (C) 2017 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | MEAN-VALUE | - |
dc.subject | HYPERELLIPTIC ENSEMBLE | - |
dc.subject | FUNCTION-FIELDS | - |
dc.subject | L-SERIES | - |
dc.subject | CHI) | - |
dc.subject | MOMENTS | - |
dc.subject | L(1/2 | - |
dc.title | Average values of L-functions in even characteristic | - |
dc.type | Article | - |
dc.identifier.wosid | 000424312700017 | - |
dc.identifier.scopusid | 2-s2.0-85036510489 | - |
dc.type.rims | ART | - |
dc.citation.volume | 186 | - |
dc.citation.beginningpage | 269 | - |
dc.citation.endingpage | 303 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.identifier.doi | 10.1016/j.jnt.2017.10.006 | - |
dc.contributor.localauthor | Bae, Sunghan | - |
dc.contributor.nonIdAuthor | Jung, Hwanyup | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | L-functions | - |
dc.subject.keywordAuthor | Class numbers | - |
dc.subject.keywordAuthor | Quadratic function fields | - |
dc.subject.keywordPlus | MEAN-VALUE | - |
dc.subject.keywordPlus | HYPERELLIPTIC ENSEMBLE | - |
dc.subject.keywordPlus | FUNCTION-FIELDS | - |
dc.subject.keywordPlus | L-SERIES | - |
dc.subject.keywordPlus | CHI) | - |
dc.subject.keywordPlus | MOMENTS | - |
dc.subject.keywordPlus | L(1/2 | - |
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