, An introduction to the trace formula, Harmonic analysis, the trace formula, and Shimura varieties, vol.4, pp.1-263, 2005.
, Lectures on Automorphic L-functions, pp.1-59, 1989.
, Publ. Res. Inst. Math. Sci, vol.II, pp.29-98, 2011.
Sur le nombre des points rationnels de hauteur borné des variétés algébriques, Math. Ann, pp.27-44, 1990. ,
Appendix C by Valentin Blomer and Farrell Brumley, 2011. ,
Trace paley-wiener theorem for reductivep-adic groups, J. Analyse Math, vol.47, pp.180-192, 1986. ,
Fields of Rationality of Cusp Forms, Israel J. Math, vol.222, pp.973-1028, 2017. ,
, Refined limit multiplicity for varying conductor, Int. Math. Res. Not, pp.6731-6751, 2017.
On the Ramanujan conjecture over number fields, Ann. of Math, vol.174, pp.581-605, 2011. ,
L-functions as distributions, Math. Ann, vol.363, pp.423-454, 2015. ,
Arithmetic Subgroups of Algebraic Groups, Ann. of Math, vol.75, pp.485-535, 1962. ,
Counting Automorphic Forms on Norm One Tori, 2016. ,
Fourier coefficients of cusp forms, Invent. Math, vol.45, pp.1-18, 1978. ,
Effective Multiplicity One for GL(N) and narrow zero-free regions for Rankin-Selberg L-functions, Amer. J. Math, vol.128, pp.1455-1474, 2006. ,
Counting cusp forms with analytic conductor, 2016. ,
Automorphic Forms and Representations, no. 55 in Cambridge Studies in Adv, Math, 1997. ,
The explicit formula in simple terms ,
, Séminaire Bourbaki, pp.345-391, 2006.
On Some Results by Atkin and Lehner, Math. Ann, vol.201, pp.301-314, 1973. ,
Igusa integrals and volume asymptotics in analytic and adelic geometry, Confluentes Math, vol.2, pp.351-429, 2010. ,
, Current Developments in Mathematics, pp.1-34, 2008.
, Wiener invariant pour les groupes réductifs, vol.II, pp.193-228, 1990.
Dual Groups and Langlands Functoriality, in An Introduction to the Langlands Program, pp.251-268, 2004. ,
, Langlands Conjectures for GL(n), in An Introduction to the Langlands Program, Birkhäuser Boston, pp.229-249, 2004.
An approximation principle for congruence subgroups, 2013. ,
Limit Multiplicities for Principal congruence subgroups of GL(n) and SL(n), J. Inst. Math. Jussieu, vol.14, pp.589-638, 2015. ,
Low-lying zeros of elliptic curve Lfunctions: Beyond the ratios conjecture, Math. Proc. Cambridge Philos. Soc, vol.160, pp.315-351, 2016. ,
, Low-lying zeros of quadratic Dirichlet L-functions: Lower order terms for extended support, Compositio Math, vol.157, pp.1196-1216, 2017.
Primes and the Random Matrix Connection, pp.64-105, 2009. ,
Automorphic representations of low rank groups, 2006. ,
On Central Critical Values of the Degree Four Lfunctions for GSp(4): The Fundamental Lemma, no. 164 in Mem, 2003. ,
The local Langlands conjecture for GSp(4): the case of inner forms, Ann. of Math, vol.173, pp.1841-1882, 2011. ,
The local Langlands conjecture for GSp(4) II: the case of inner forms, Amer. J. of Math, vol.136, pp.761-805, 2014. ,
N-level density of the low-lying zeros of quadratic Dirichlet L-functions, 2008. ,
Automorphic Forms on Adele Groups, in Ann. Math. Studies, 1975. ,
, Lectures on the Arthur-Selberg Trace Formula, 1996.
Explicit Constructions of Automorphic L-functions, no. 1254 in Lecture Notes in Math, 1987. ,
An Introduction to Automorphic Representations with a view toward Trace Formulae, Graduate Texts in Math ,
, Zeta Functions of Simple Algebras, 1972.
Automorphic Representations and L-Functions for the General Linear Group, Math, vol.1, 2011. ,
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of L-functions, in Automorphic representations and L-functions, Proc. of the International Colloquium, pp.263-310, 2012. ,
Unitary groups and base change. Notes available at webusers.imjprg ,
, Notes available at webusers.imj-prg.fr/~michael.harris, 2006.
, Galois representations, automorphic forms and the Sato-Tate conjecture, Indian J. Pure Appl. Math, vol.45, pp.707-746, 2014.
Periods of Quaternionic Shimura Varieties I, 2016. ,
, Topics in Classical Automorphic Forms
Low lying zeros of families of L-functions, Inst. Hautes Études Sci. Publ. Math, vol.91, pp.55-131, 2000. ,
Perspectives on the Analytic Theory of L-functions.pdf, Geom. Funct. Anal, pp.705-741, 2000. ,
Automorphic forms on GL(2), no. 114 in Lecture Notes in Math, 1970. ,
Conducteur des représentations du groupe linéaire, Math. Ann, vol.256, pp.199-214, 1981. ,
, Frobenius Eigenvalues, and Monodromy, vol.45, 1999.
, Zeroes of zeta functions and symmetry, Bull. Amer. Math. Soc, vol.36, pp.1-26, 1999.
, Random Matrix Theory and L-Functions at s =
, Commun. Math. Phys, vol.214, issue.2, pp.91-110, 2000.
Asymptotics and local constancy of characters of p-adic groups, in Families of automorphic forms and the trace formula, Simons Symp, pp.259-295, 2016. ,
Representation Theory of Semisimple Groups: An Overview based on Examples, Princeton Landmarks in Math, 1986. ,
, Local Langlands Correspondence: The Archimedean Case, Proc. Symp. Pure Math, vol.55, pp.393-410, 1991.
Representation of Semisimple Lie Groups, Representation Theory of Lie Groups, pp.5-88, 2000. ,
Traces of Hecke operators, in Math. Surveys and Monographs, issue.133, 2006. ,
, Harmonic analysis on reductive p-adic groups and Lie algebras, in Harmonic Analysis, the Trace Formula, and Shimura Varieties, vol.4, pp.393-522, 2005.
Théorie des Nombres et Applications, Publ. Math. Besancon Algèbre Théorie Nr, Presses Univ, pp.5-40, 2013. ,
,
, Birkhäuser Boston, pp.109-131, 2004.
Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, 1918. ,
Problems in the theory of automorphic forms, Lectures in modern analysis and applications III, no. 170 in Lecture Notes in Mathematics, pp.18-61, 1970. ,
, Can. J. Math, issue.2, pp.726-785, 1979.
On the correspondence of representations between GL(n) and division algebras, Proc. Amer. Math. Soc, vol.131, pp.1641-1648, 2003. ,
, Conductors and newforms for U(1,1), Proc. Indian Acad. Sci. Math. Sci, vol.114, pp.319-343, 2004.
Low-lying zeros for L-functions associated to Hilbert modular forms of large level, Acta Arith, vol.180, pp.251-266, 2017. ,
Bounds for the global coefficients in the fine geometric expansion of arthur's trace formula for l (n), Israel J. Math, pp.337-396, 2015. ,
, Tate equidistribution for families of Hacke-Maass forms on SL(n)/SO(n), 2016.
How Explicit is the trace formula, pp.1-40, 2013. ,
Random matrices, no. 142 in Pure and applied mathematics, 2004. ,
Analytic number theories and families of automorphic forms, 2016. ,
Unramified representations of unitary groups, in On the stabilization of the trace formula 1, Stabilization of the Trace Formula, Shimura varieties, and arithmetic applications, pp.389-410, 2011. ,
Conductors and newforms for non-supercuspidal representations of unramified U(2,1), J. Ramanujan Math. Soc, vol.28, pp.91-111, 2013. ,
, On local newforms for unramified U(2,1), Manuscripta Math, pp.149-169, 2013.
Endoscopic classification of representations of quasi-split unitary groups, Memoirs Amer. Math. Soc, vol.235, p.248, 2015. ,
The pair correlation of zeros of the zeta function, XXIV of Proc. Sympos. Pure Math, pp.181-193, 1973. ,
Periodic Points on an Algebraic Variety, Ann. of Math, vol.51, pp.167-177, 1950. ,
On the distribution of spacings between zeroes of the zeta functions, Math. Comp, vol.48, pp.273-308, 1987. ,
Nombres de Tamagawa et groupes unipotentes en caractéristique p, Invent. Math, vol.78, pp.13-88, 1984. ,
The Weyl law on algebraic tori, pp.private communica- tion, 2018. ,
Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke J. Math, vol.79, pp.101-218, 1995. ,
Kirillov theory for GL(2,D) where D is a division algebra over a non-archimedean local field, Duke J. Math, vol.104, pp.19-44, 2000. ,
, Old Forms on GL, vol.113, p.911, 1991.
, Lecture Notes in Math, issue.4, 1918.
Automorphic representations of unitary groups in three variables, in Ann. Math. Stud, 1990. ,
Low-lying zeros of L-functions and random matrix theory, Duke J. Math, vol.109, pp.147-181, 2001. ,
Zeroes of principal L-functions and random matrix theory, Duke J. Math, vol.81, pp.269-322, 1996. ,
Characters of the Discrete Series of Representations of SL(2) over a Local Field, Proc. National Academy of Sciences of the United States of America, pp.1231-1237, 1968. ,
Statistical Properties of Eigenvalues of the Hecke Operators, in Analytic Number Theory and Diophantine Problems, no. 70 in Progress in Math, pp.321-331, 1987. ,
Some Applications of Modular Forms, no. 99 in Cambridge Tracts in Math, 1990. ,
Definition of Families of L-functions, 2008. ,
Families of L-functions and their symmetries, in Families of automorphic forms and the trace formula, Simons Symp, pp.531-578, 2016. ,
Principe de densité pour les groupes réductifs, Compositio Math, vol.108, pp.151-184, 1997. ,
On heights in number fields, Bull. Amer. Math. Soc, vol.70, pp.262-263, 1964. ,
Some remarks on local newforms for GL(2), J. Ramanujan Math. Soc, vol.17, pp.115-147, 2002. ,
, , 1973.
, , 1997.
, Répartition asymptotique des valeurs propres de l'opérateur de Hecke T(p), J. Amer. Math. Soc, vol.10, pp.75-102, 1997.
On Fields of rationality for automorphic representations, Compositio Math, vol.150, pp.2003-2053, 2014. ,
, Sato-Tate theorem for families and low-lying zeros of automorphic Lfunctions, Invent. Math, vol.203, pp.1-177, 2016.
Fourier Analysis In Number Fields and Hecke's Zeta-Functions, Algebraic Number Theory, Proc. Instructional Conf, pp.305-347, 1965. ,
Introduction to Analytic and Probabilistic Number Theory, no. 163 in Graduate Studies in Math, 2015. ,
Arithmétique des algèbres de quaternions, no. 800 in, Lecture Notes in Math, 1980. ,
Book available at quatalg.org, 2018. ,
formules explicites" de la théorie des nombres premiers, Izv. Akad. Nauk SSSR Ser. Mat, vol.36, pp.3-18, 1952. ,
, Adeles and Algebraic Groups, Progress in Math, Birkhäuser, Basel, 1982.
, Basic Number Theory, vol.1, 1995.
Modular forms, elliptic curves and Fermat's last theorem, Ann. of Math, vol.141, pp.443-551, 1995. ,
Small zeros of quadratic L-functions, Bull. Austr. Math. Soc, vol.47, pp.307-319, 1993. ,