+) "2 – lu 11+1-k f1(c.102) f(q1) f(c.2) = 5) ni (£b2x2"+\c2x: ) 1, 2 – lu, k - 1–2 || lu + 1 – k 2 u + 1-k + #xn2 (£baxi"x: +Acax: "X: ) = x 20-2 2 o 2 = X £ni no + X £n; n.1 (l; 6) by a further use of (29) for b and c.

Author: J. P. Serre

Publisher: Springer

ISBN: 9783540372912

Category: Mathematics

Page: 296

View: 374

The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.

Cas-3 it p1(ck * h1)0 (h)v = 0 for every h1 e S (G), where ck * (meas K)-1 (characteristic function of K). ... going backwards, P2 (ck % ha) och) F(v) = 0 for all h1. which means that the G-invariant space generated by o2(h)F(v) has no ...

Any f € 0 (M, V) can be written as a power series in u, v (this is analogous to the q-expansion in one variable. ) ... Therefore, the quotient of H*/G(M, V) U (~} by T has no singular point except possibly * , the image of oo .

Author: J.-P. Serre

Publisher: Springer

ISBN: 9783540359845

Category: Mathematics

Page: 340

View: 661

The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.

Il existe des éléments (non *s 1 de 2 , nuls sauf un nombre fini d' entre eux, tels 91e a, (f) * *n a, (f) Pour tout f e Y , m= 1 Soit c, le sous-z,-module de Y formé des éléments f tels que v, (f) s 0 , Il est facile de voir que c, ...

T ( n ) 0 ( mod e ) , whenever n is a quadratic non - residue modulo & . Here , as usual , for real v . σ ( n ) = Σ du d❘n , d > 0 ( 2 ) Various refinements of ( 1 ) are possible , with & replaced by a power of l and different divisor ...

Indeed, from 2 P* = 1 p follows p° = vp, and p is an ambigue v-ideal. Such exist only if "p is maximal and A = 0 mod p, in other words if (#) = 0 . Conversely, if #) = 0 , then there exists a p with p° = vp. Let p. = v., ( a. b).

Author: Kuyk

Publisher: Springer

ISBN: 9783540385097

Category: Mathematics

Page: 195

View: 172

An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C•• We extend our warm est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.

5 (2018), no. 1, Paper No. 3, 24 pp. 75. Kenneth A. Ribet, Galois representations attached to eigenforms with Nebentypus, Modular functions of one variable V, eds. Jean-Pierre Serre and Don Bernard Zagier, Lecture Notes in Math., vol.

The result is an arithmetic ( y function preserving ) correspondence between certain representations of G , and G. We ... Serre , J.-P. & Stark , H. ( 1977 ) Modular Functions of One Variable V , Lecture Notes in Mathematics , No.

Author: Ilya Piatetsky-Shapiro

Publisher: American Mathematical Soc.

ISBN: 082180930X

Category: Automorphic functions

Page: 860

View: 815

This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.