1549380232-Automorphic_Forms_and_Applications__Sarnak_

[Cor] [Da] [Dav] [De] [De2] [De3] [De4] [DS] [DI] [DIPS] [Du] [Du2] [Dul] [DuI2] [DuI3] [DFil] [DFI2] [DFI3] [DFI4] [DFI5] [DFI6 ...

288 PH. MICHEL, ANALYTIC NUMBER THEORY AND FAMILIES OF £-FUNCTIONS [DFI8] Duke, W., Friedlander, J. et Iwaniec, H.: The subconve ...

BIBLIOGRAPHY 289 [GL] Goldfeld, D., Lieman, D., Effective bounds on the size of the Tate- Shafarevich group. Math. Res. Lett. 3 ...

290 [Il] [I2] [I3] [I4] [IS] [I6] [ILS] [IM] [ISl] [IS2] [IS3] [J] [JSl] [JS2] [JPSSl] [JPSS2] [Jul] [Ju2] [Ju3] [Ju4] PH. MICHE ...

BIBLIOGRAPHY 291 on number theory in memory of Kustaa Inkeri, Turku, Finland, May 31- June 4, 1999. Berlin: de Gruyter. 167-177 ...

292 PH. MICHEL, ANALYTIC NUMBER THEORY AND FAMILIES OF £-FUNCTIONS [Lin3] Linnik, Y. V., Ergodic properties of algebraic fields, ...

BIBLIOGRAPHY 293 [Mor3] Moreno, Carlos J. Some problems of effectivity in arithmetic, geometry and analysis. Number theory (New ...

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BIBLIOGRAPHY 295 Paris, 1990. pp. 1-135. [Ta] Tatuzawa, T., On a theorem of Siegel. Jap. J. Math. 21 (1951), 163-178 (1952). [Te ...

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Langlands-Shahidi Method Freydoon Shahidi ...

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!AS/Park City Mathematics Series Volume 12, 2002 Langlands-Shahidi Method Freydoon Shahidi Foreword In a series of 8 lectures, t ...

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1.1. Preliminaries LECTURE 1 Basic concepts Let F be a number field. For each place v of F, let Fv be the completion of Fat v. F ...

302 FREYDOON SHAHIDI, LANGLANDS-SHAHIDI METHOD Let H to be any connected reductive algebraic group defined over F. Consider- ing ...

LECTURE 1. BASIC CONCEPTS 303 The L-group LG of G is Le= av x rF, where rF = Gal(F/F). In general, one carries the action of rF ...

304 FREYDOON SHAHID!, LANGLANDS-SHAHID! METHOD a map (1.4) where the product runs over all f3 E D..', sending exp(xf3Xf3) to Xf3 ...

LECTURE 1. BASIC CONCEPTS 305 This is the right regular action of Gv on the space of smooth functions f from Gv to H(7rv), satis ...

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