1549380232-Automorphic_Forms_and_Applications__Sarnak_

LECTURE 6. CONVERSE THEOREMS AND FUNCTORIALITY 167 6.4. Example: The lifting from S02n+1 to GL2n In this section we would like t ...

168 J.W. COGDELL, £-FUNCTIONS FOR GLn Proposition 6.2 (Multiplicativity of '!'-factors). If 'Irv is a generic irreducible ad- mi ...

LECTURE 6. CONVERSE THEOREMS AND FUNCTORIALITY 169 Proposition 6.5. Let v E S and let IIv be the local lift of 7rv as above, tha ...

170 J.W. COGDELL, £-FUNCTIONS FOR GLn As noted above, there is no reason for us to expect the L-functions L(s, n x n') to be ent ...

LECTURE 6. CONVERSE THEOREMS AND FUNCTORIALITY 171 6.6. Complements As we noted above, Theorem 6.1 is the beginning point for a ...

172 J.W. COGDELL, £-FUNCTIONS FOR GLn generic. This idea has been initially investigated by Friedberg and Goldberg [20]. Another ...

Bibliography l. J. Bernstein and A. Zelevinsky, R epresentations of GL(n, F) where F is a non-archimedean local field. Russian M ...

174 J.W. COGDELL, £-FUNCTIONS FOR GLn ___ , Remarks on Rankin-Selberg convolutions. Contributions to Automor- phic Forms, Geome ...

BIBLIOGRAPHY 175 H. Jacquet, Automorphic Forms on GL(2), II, Springer Lecture Notes in Mathematics No.278 , Springer-Verlag, Be ...

176 J.W. COGDELL, £-FUNCTIONS FOR GLn R.P. Langlands, Euler Products, Yale Univ. Press, New Haven , 1971. ___ , On the notion o ...

BIBLIOGRAPHY 177 ___ , Automorphic L-functions and Functoriality. Proc. ICM 2002, Beijing II (2002), 655-666. ___ , Langlands-S ...

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Analytic Number Theory and Families of Automorphic L-functions Philippe Michel ...

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IAS/Park City Mathematics Series Volume 12, 2002 Analytic Number Theory and Families of Automorphic £-functions Philippe Michel ...

182 PH. MICHEL, ANALYfIC NUMBER THEORY AND FAMILIES OF £-FUNCTIONS of the last century was devoted to the development of techniq ...

FOREWORD 183 sufficient (mainly because they are involutory) and so they must be sup- plemented by various techniques of transfo ...

184 PH. MICHEL, ANALYTIC NUMBER THEORY AND FAMILIES OF £-FUNCTIONS degree 1 and 2 (which have been proved before). Thus one may ...

FOREWORD 185 Theory'' (the series of H. Iwaniec's lectures at Rutgers University): these notes con- tain the most complete avail ...

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