Skip to main content

Families of L-Functions and Their Symmetry

Author(s): Sarnak, Peter C; Shin, Sug Woo; Templier, Nicolas

Download
To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1t96w
Abstract: A few years ago the first-named author proposed a working definition of a family of automorphic L-functions. Then the work by the second and third-named authors on the Sato-Tate equidistribution for families made it possible to give a conjectural answer for the universality class introduced by Katz and the first-named author for the distribution of the zeros near s = 1/2. In this article we develop these ideas fully after introducing some structural invariants associated to the arithmetic statistics of a family.
Publication Date: 2016
Electronic Publication Date: 21-Sep-2016
Citation: Sarnak, Peter, Shin, Sug Woo, Templier, Nicolas. (2016). Families of L-Functions and Their Symmetry. FAMILIES OF AUTOMORPHIC FORMS AND THE TRACE FORMULA, 531 - 578. doi:10.1007/978-3-319-41424-9_13
DOI: doi:10.1007/978-3-319-41424-9_13
ISSN: 2365-9564
Pages: 531 - 578
Type of Material: Conference Article
Series/Report no.: Simons Symposia;
Journal/Proceeding Title: FAMILIES OF AUTOMORPHIC FORMS AND THE TRACE FORMULA
Version: Author's manuscript



Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.