Mean values of L-functions and symmetry

Simple item page
dc.creatorConrey, J. Brian
dc.creatorFarmer, David W.
dc.date1999-12-13
dc.date.accessioned2026-07-07T05:32:16Z
dc.date.available2026-07-07T05:32:16Z
dc.descriptionRecently Katz and Sarnak introduced the idea of a symmetry group attached to a family of L-functions, and they gave strong evidence that the symmetry group governs many properties of the distribution of zeros of the L-functions. We consider the mean-values of the L-functions and the mollified mean-square of the L-functions and find evidence that these are also governed by the symmetry group. We use recent work of Keating and Snaith to give a complete description of these mean values. We find a connection to the Barnes-Vignéras $Γ_2$-function and to a family of self-similar functions.
dc.description23 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/9912107
dc.identifierhttp://arxiv.org/abs/math/9912107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79601
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subject11M06; 11F66; 81Q50
dc.titleMean values of L-functions and symmetry
dc.typetext

Files

Collections

arXiv