Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms

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dc.creatorConrey, J. Brian
dc.creatorKeating, Jon P.
dc.creatorRubinstein, Michael O.
dc.creatorSnaith, Nina C.
dc.date2004-12-03
dc.date2006-03-17
dc.date.accessioned2026-07-07T06:39:07Z
dc.date.available2026-07-07T06:39:07Z
dc.descriptionConjectured links between the distribution of values taken by the characteristic polynomials of random orthogonal matrices and that for certain families of L-functions at the centre of the critical strip are used to motivate a series of conjectures concerning the value-distribution of the Fourier coefficients of half-integral weight modular forms related to these L-functions. Our conjectures may be viewed as being analogous to the Sato-Tate conjecture for integral weight modular forms. Numerical evidence is presented in support of them.
dc.description28 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0412083
dc.identifierhttp://arxiv.org/abs/math/0412083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100968
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.titleRandom Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms
dc.typetext

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