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Seminaire de Theorie des Nombres, Paris 1989-1990

By: D. Sinnou (Author)

Ksh 12,240.00
Format :

Format(s): DRM PDF

ISBN-13: 9781475742695

Publisher: Birkhauser Boston

Imprint: Birkhauser

Publication Date: December 1st, 2013

Language: French

Physical Edition EAN: 9780817636227

Category: Number theory

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  • Description

  • Author Bio

Le travail ci-dessous developpe sur quelques points les tex:tes fondamentaux de C.L. Siegel [13[ et de K. Ramachandra [2). Remerclements C''est au Max Planck Institut de Bonn que la plus grande part des resultats (th. 2 et 3, ex:ception faite du point 3 d et th. 4 et 5) ont ete soit rectiges soit con~s. La rectaction definitive de ce travail a eu lieu ä l''Institut Fourier de Grenoble durant l''hiver 1990. Le th. 1 tel qu''il apparait ici, et le corollaire du th. 6 cf. identite (13), sont nouveaux. On trouvera une rectaction detailleedes th. 2 et 3 dans [51 et, parmi d''autres resultats, des th. 4, 5 et 6 dans [7). Que tous mes collegues et les deux equipes de secretartat recoivent ici mes remerciements les plus chaleureux. 2 1) On pose e( x) = e 1rix, x E C. Pour L un reseau complex:e, on note une base positivement olientee de L = lw + lw c''est-ä-dire teile que 1 2 On definit alors une forme modulaire .,.p> de poids 1 par 1](2)(w) ~fn (21l"i)ql/12 IJ ( - qn)2 1 { w2 n>l 1 12 q = e(W) , q 1 = e(W/12) , W = wt!w2 .

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