mirage

One level density of low-lying zeros of families of L-functions

DSpace/Manakin Repository

 

Search DR-NTU


Advanced Search Subject Search

Browse

My Account

One level density of low-lying zeros of families of L-functions

Show simple item record

dc.contributor.author Gao, Peng
dc.contributor.author Zhao, Liangyi
dc.date.accessioned 2011-09-30T08:33:45Z
dc.date.available 2011-09-30T08:33:45Z
dc.date.copyright 2010
dc.date.issued 2011-09-30
dc.identifier.citation Gao, P., & Zhao, L. (2010). One Level Density of Low-lying Zeros of Families of L-functions. Compositio Mathematica, 147, 1-18.
dc.identifier.uri http://hdl.handle.net/10220/7128
dc.description.abstract In this paper, we prove some one level density results for the low-lying zeros of families of L- functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic Dirichlet L-functions.
dc.language.iso en
dc.relation.ispartofseries Compositio mathematica
dc.rights © 2010 Foundation Compositio Mathematica. This is the author created version of a work that has been peer reviewed and accepted for publication in Compositio Mathematica, published by London Mathematical Society on behalf of Foundation Compositio Mathematica. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1112/S0010437X10004914].
dc.subject DRNTU::Science::Mathematics::Number theory
dc.title One level density of low-lying zeros of families of L-functions
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1112/S0010437X10004914
dc.description.version Accepted version
dc.identifier.rims 150509

Files in this item

Files Size Format View
117. One level ... amilies of L-functions.pdf 425.3Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Statistics

Total views

All Items Views
One level density of low-lying zeros of families of L-functions 343

Total downloads

All Bitstreams Views
117. One level density of low-lying zeros of families of L-functions.pdf 108
cubictwists_013.pdf 9

Top country downloads

Country Code Views
United States of America 48
China 33
Japan 13
France 3
Russian Federation 3

Top city downloads

city Views
Mountain View 41
Beijing 31
Tokyo 10
Singapore 2
Southampton 2