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Book Information:

Author: A. Borel
Title: Automorphic forms on
Additional book information: Cambridge Tracts in Mathematics, vol. 130, Cambridge University Press, 1997, xiv+574 pp., ISBN 0-521-58049-8, $47.95$

Author: D. Bump
Title: Automorphic forms and representations
Additional book information: Cambridge Studies in Advanced Mathematics, vol. 55, Cambridge University Press, 1997, xiv+574 pp., ISBN 0-521-55098-X, $79.95$

Author: H. Iwaniec
Title: Topics in classical automorphic forms
Additional book information: Graduate Studies in Math., vol. 17, American Mathematical Society, Providence, RI, 1997, xii + 259 pp., ISBN 0-8218-0777-3, $39.00$

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J. Arthur, The problem of classifying automorphic representations of classical groups, CRM Proceedings and Lecture Notes, vol. 11, Amer. Math. Soc., Providence, RI, 1997. CMP 98:04

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James Arthur and Laurent Clozel, Simple algebras, base change, and the advanced theory of the trace formula, Annals of Mathematics Studies, vol. 120, Princeton University Press, Princeton, NJ, 1989. MR 1007299

Don Blasius and Jonathan D. Rogawski, Zeta functions of Shimura varieties, Motives (Seattle, WA, 1991) Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 525–571. MR 1265563

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A. Borel, Automorphic forms on SL Cambridge Tracts in Math. 130, Cambridge U. Press, 1997. CMP 98:04

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Armand Borel and George D. Mostow (eds.), Proceedings of Symposia in Pure Mathematics. Vol. IX: Algebraic groups and discontinuous subgroups, American Mathematical Society, Providence, R.I., 1966. MR 0202512

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T. N. Bailey and A. W. Knapp (eds.), Representation theory and automorphic forms, Proc. Symposia in Pure Math. 61, AMS, Providence 1997. CMP 98:03

Daniel Bump, Automorphic forms and representations, Cambridge Studies in Advanced Mathematics, vol. 55, Cambridge University Press, Cambridge, 1997. MR 1431508, DOI 10.1017/CBO9780511609572

Colin J. Bushnell and Philip C. Kutzko, The admissible dual of $\textrm {GL}(N)$ via compact open subgroups, Annals of Mathematics Studies, vol. 129, Princeton University Press, Princeton, NJ, 1993. MR 1204652, DOI 10.1515/9781400882496

Laurent Clozel and James S. Milne (eds.), Automorphic forms, Shimura varieties, and $L$-functions. Vol. I, Perspectives in Mathematics, vol. 10, Academic Press, Inc., Boston, MA, 1990. MR 1044817

P. Deligne, Correction to: “Formes modulaires et représentations de $\textrm {GL}(2)$” (Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), pp. 55–105, Lecture Notes in Math., Vol. 349, Springer, Berlin, 1973), Modular functions of one variable, IV (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) Lecture Notes in Math., Vol. 476, Springer, Berlin, 1975, pp. p. 148 (French). MR 0389771

Michel Duflo and Jean-Pierre Labesse, Sur la formule des traces de Selberg, Ann. Sci. École Norm. Sup. (4) 4 (1971), 193–284. MR 437462

William Duke, Some old problems and new results about quadratic forms, Notices Amer. Math. Soc. 44 (1997), no. 2, 190–196. MR 1426107

Stephen S. Gelbart, Automorphic forms on adèle groups, Annals of Mathematics Studies, No. 83, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1975. MR 0379375

Stephen Gelbart, An elementary introduction to the Langlands program, Bull. Amer. Math. Soc. (N.S.) 10 (1984), no. 2, 177–219. MR 733692, DOI 10.1090/S0273-0979-1984-15237-6

Stephen Gelbart, Lectures on the Arthur-Selberg trace formula, University Lecture Series, vol. 9, American Mathematical Society, Providence, RI, 1996. MR 1410260, DOI 10.1090/ulect/009

Stephen Gelbart and Hervé Jacquet, Forms of $\textrm {GL}(2)$ from the analytic point of view, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 213–251. MR 546600

Stephen Gelbart and Freydoon Shahidi, Analytic properties of automorphic $L$-functions, Perspectives in Mathematics, vol. 6, Academic Press, Inc., Boston, MA, 1988. MR 951897

I. M. Gel′fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, W. B. Saunders Co., Philadelphia, Pa.-London-Toronto, Ont., 1969. Translated from the Russian by K. A. Hirsch. MR 0233772

Dennis A. Hejhal, The Selberg trace formula for $\textrm {PSL}(2,R)$. Vol. I, Lecture Notes in Mathematics, Vol. 548, Springer-Verlag, Berlin-New York, 1976. MR 0439755

Haruzo Hida, Elementary theory of $L$-functions and Eisenstein series, London Mathematical Society Student Texts, vol. 26, Cambridge University Press, Cambridge, 1993. MR 1216135, DOI 10.1017/CBO9780511623691

R. Howe, $\theta$-series and invariant theory, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 275–285. MR 546602

Henryk Iwaniec, Topics in classical automorphic forms, Graduate Studies in Mathematics, vol. 17, American Mathematical Society, Providence, RI, 1997. MR 1474964, DOI 10.1090/gsm/017

Henryk Iwaniec, Introduction to the spectral theory of automorphic forms, Biblioteca de la Revista Matemática Iberoamericana. [Library of the Revista Matemática Iberoamericana], Revista Matemática Iberoamericana, Madrid, 1995. MR 1325466

Henryk Iwaniec, Fourier coefficients of modular forms of half-integral weight, Invent. Math. 87 (1987), no. 2, 385–401. MR 870736, DOI 10.1007/BF01389423

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H. Jacquet, Note on the analytic continuation of Eisenstein series, In [BK], 443-455. CMP 98:03

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H. Jacquet, Principal L-functions for , In [BK], 321-329. CMP 98:03

H. Jacquet and R. P. Langlands, Automorphic forms on $\textrm {GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654

H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558. MR 618323, DOI 10.2307/2374103

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A. Knapp, Introduction to the Langlands Program, In [BK], 245-302. CMP 98:03

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A. Knapp, Theoretical aspects of the trace formula for GL(2), In [BK], 355-405. CMP 98:03

Robert E. Kottwitz, Stable trace formula: elliptic singular terms, Math. Ann. 275 (1986), no. 3, 365–399. MR 858284, DOI 10.1007/BF01458611

Stephen S. Kudla, The local Langlands correspondence: the non-Archimedean case, Motives (Seattle, WA, 1991) Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 365–391. MR 1265559, DOI 10.2307/2118540

R. P. Langlands, Problems in the theory of automorphic forms, Lectures in modern analysis and applications, III, Lecture Notes in Math., Vol. 170, Springer, Berlin, 1970, pp. 18–61. MR 0302614

Robert P. Langlands, Base change for $\textrm {GL}(2)$, Annals of Mathematics Studies, No. 96, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 574808

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R. Langlands, Where stands functoriality today?, In [BK], 457-471. CMP 98:03

Robert P. Langlands, Representation theory: its rise and its role in number theory, Proceedings of the Gibbs Symposium (New Haven, CT, 1989) Amer. Math. Soc., Providence, RI, 1990, pp. 181–210. MR 1095333

Robert P. Langlands and Dinakar Ramakrishnan (eds.), The zeta functions of Picard modular surfaces, Université de Montréal, Centre de Recherches Mathématiques, Montreal, QC, 1992. MR 1155223

R. P. Langlands and D. Shelstad, On the definition of transfer factors, Math. Ann. 278 (1987), no. 1-4, 219–271. MR 909227, DOI 10.1007/BF01458070

Gérard Laumon, Cohomology of Drinfeld modular varieties. Part I, Cambridge Studies in Advanced Mathematics, vol. 41, Cambridge University Press, Cambridge, 1996. Geometry, counting of points and local harmonic analysis. MR 1381898

W. Luo, Z. Rudnick, and P. Sarnak, On Selberg’s eigenvalue conjecture, Geom. Funct. Anal. 5 (1995), no. 2, 387–401. MR 1334872, DOI 10.1007/BF01895672

C. Mœglin and J.-L. Waldspurger, Spectral decomposition and Eisenstein series, Cambridge Tracts in Mathematics, vol. 113, Cambridge University Press, Cambridge, 1995. Une paraphrase de l’Écriture [A paraphrase of Scripture]. MR 1361168, DOI 10.1017/CBO9780511470905

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C. Moeglin, Representations of in the non-archimedean case, In [BK], 303-319. CMP 98:03

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D. Prasad, A brief survey of the theta correspondence, Contemporary Math. 210, Amer. Math. Soc. (1998), 171-193. CMP 98:03

Dinakar Ramakrishnan, Regulators, algebraic cycles, and values of $L$-functions, Algebraic $K$-theory and algebraic number theory (Honolulu, HI, 1987) Contemp. Math., vol. 83, Amer. Math. Soc., Providence, RI, 1989, pp. 183–310. MR 991982, DOI 10.1090/conm/083/991982

Kenneth A. Ribet, A modular construction of unramified $p$-extensions of $Q(\mu _{p})$, Invent. Math. 34 (1976), no. 3, 151–162. MR 419403, DOI 10.1007/BF01403065

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J. Rogawski, Functoriality and the Artin conjecture. In [BK], 331-353. CMP 98:03

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Peter Sarnak, On cusp forms, The Selberg trace formula and related topics (Brunswick, Maine, 1984) Contemp. Math., vol. 53, Amer. Math. Soc., Providence, RI, 1986, pp. 393–407. MR 853570, DOI 10.1090/conm/053/853570

Peter Sarnak, Selberg’s eigenvalue conjecture, Notices Amer. Math. Soc. 42 (1995), no. 11, 1272–1277. MR 1355461

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Jean-Loup Waldspurger, Représentation métaplectique et conjectures de Howe, Astérisque 152-153 (1987), 3, 85–99 (1988) (French). Séminaire Bourbaki, Vol. 1986/87. MR 936850

André Weil, Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143–211 (French). MR 165033, DOI 10.1007/BF02391012

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J. Adams and B. Roberts, Notes on the theta correspondence, Workshop at U. Maryland, 1994, www.math.umd.edu/~jda/preprints.

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J. Arthur, Stability and endoscopy: informal motivation, In: [BK]. CMP 98:03

[A2]

J. Arthur, Unipotent automorphic representations:conjectures, In: Orbites Unipotentes et Représentations II. Groupes p-adic et Réel, Astérisque 171-172 (1989), 13-71. MR 91f:22030

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J. Arthur, The problem of classifying automorphic representations of classical groups, CRM Proceedings and Lecture Notes, vol. 11, Amer. Math. Soc., Providence, RI, 1997. CMP 98:04

[A4]

J. Arthur, The Selberg trace formula for groups of F-rank one, Annals of Math. 100 (1974), 326-385. MR 50:12920

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J. Arthur and L. Clozel, Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies 120, Princeton U. Press, 1989. MR 90m:22041

[BR]

D. Blasius and J. Rogawski, Zeta-functions of Shimura varieties, In: Motives (U. Jannsen and J.-P. Serre, eds.), Proc. Symp. Pure Math. 55, Part II, Amer. Math. Soc., Providence, 1994, 525-571. MR 95e:11051

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A. Borel, Automorphic forms on SL Cambridge Tracts in Math. 130, Cambridge U. Press, 1997. CMP 98:04

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A. Borel and W. Casselman (eds.), Automorphic forms, representations, and L-functions, Proc. Symp. Pure Math. 33, Parts I & II, Amer. Math. Soc., Providence, 1977. MR 80g:10002a; MR 80g:10002b

[BM]

A. Borel and G. Mostow (eds.), Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math. 9, Amer. Math. Soc., Providence, 1966. MR 34:2381

[BK]

T. N. Bailey and A. W. Knapp (eds.), Representation theory and automorphic forms, Proc. Symposia in Pure Math. 61, AMS, Providence 1997. CMP 98:03

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D. Bump, Automorphic forms and representations, Cambridge Studies in Adv. Math. 55, Cambridge U. Press, 1997. MR 97k:11080

[BuK]

C. Bushnell and P. Kutzko, The admissible dual of via compact open subgroups, Annals of Math. Studies 129, Princeton U. Press, Princeton, NJ, 1993. MR 94h:22007

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M. Duflo and J.-P. Labesse, Sur la formule des traces de Selberg, Ann. Sci. École Norm. Sup. (4) 4 (1971), 193-284. MR 55:10392

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H. Iwaniec, Topics in Classical Automorphic Forms, Graduate Studies in Math. 17, Amer. Math. Soc., Providence, 1997. MR 98e:11051

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H. Iwaniec, Introduction to the Spectral Theory of Automorphic Forms, Rev. Mat. Iberoamericana, Madrid, 1995. MR 96f:11078

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H. Iwaniec, Fourier coefficients of modular forms of half-integral weight, Invent. Math 87 (1987), 385-401. MR 88b:11024

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H. Jacquet, Note on the analytic continuation of Eisenstein series, In [BK], 443-455. CMP 98:03

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H. Jacquet, Principal L-functions for , In [BK], 321-329. CMP 98:03

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A. Knapp, Introduction to the Langlands Program, In [BK], 245-302. CMP 98:03

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A. Knapp, Theoretical aspects of the trace formula for GL(2), In [BK], 355-405. CMP 98:03

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S. Kudla, The local Langlands correspondence, the non-archimedean case. In: Motives (U. Jannsen and J.-P. Serre, eds.), Proc. Symp. Pure Math. 55, Part II, Amer. Math. Soc., Providence, RI, 1994, 365-391. MR 95d:11065

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