Yuval Flicker -- Publication List by topics (pdf files)

Automorphic forms on GSp(2):

Automorphic forms and Shimura varieties of PGSp(2); 340pp; book in 3 parts, World Scientific, August 2005; ISBN 9-812-56403-9 http://www.worldscibooks.com/mathematics/5883.html ; Part 1. Lifting automorphic forms of PGp(2) and SO(4) to PGL(4); Part 2. Zeta functions of Shimura varities of PGSp(2); Part 3. Background on automorphic forms.

(with D. Zinoviev) Twisted character of a small representation of GL(4); International Journal of Number Theory (2006).

(with D. Zinoviev) Twisted character of a small representation of PGL(4); Moscow Mathematical Journal 4 (2004), 333-368.

Automorphic forms on SO(4); Proceedings of the Japan Academy 80 (2004), 100-104.

Automorphic forms on PGSp(2); Electronic Research Announcements of the American Mathematical Society 10 (2004), 39-50. http://www.ams.org/era/

Automorphic forms on PGSp(2); notes based on a talk at Arbeitstagung 2003, MPI f\"ur Mathematik, Bonn preprint series, 1-14.

On the symmetric square:

Automorphic representations of low rank groups; 500pp; book in 3 parts: Part 1. On the symmetric square lifting; Part 2. Automorphic representations of the unitary group U(3,E/F); Part 3. Zeta functions of Shimura varities of U(3).

(with D. Zinoviev) On the symmetric square. Unstable twisted characters; Israel Journal of Mathematics 134 (2003), 307-316.

On the Symmetric Square. Total global comparison; Journal of Functional Analysis 122 (1994), 255-278.

On the symmetric square. Unit elements; Pacific Journal of Mathematics 175 (1996), 507-526.

On the symmetric square. Applications of a trace formula; Transactions of the American Mathematical Society 330 (1992), 125-152.

On the symmetric square. Twisted trace formula; Journal of Functional Analysis 98 (1991), 194-210.

On the symmetric square. Definitions and lemmas; Transactions of the American Mathematical Society 330 (1992), 111-124.

On the Symmetric Square. Orbital integrals; Mathematische Annalen 279 (1987), 173-191.

(with D. Kazhdan) On the Symmetric Square. Unstable local transfer; Inventiones Mathematicae 91 (1988), 493-504.

The adjoint lifting from SL(2) to PGL(3); IHES preprint series 1981.

Outer automorphisms and instability; Th\'eorie de Nombres, Paris, 1980-1981, Progress in Mathematics, vol. 22 (1982), 57-65, Birkhauser.

Packets and liftings for U(3):

Automorphic representations of low rank groups; 500pp; book in 3 parts: Part 1. On the symmetric square lifting; Part 2. Automorphic representations of the unitary group U(3,E/F); Part 3. Zeta functions of Shimura varities of U(3).

Characters, genericity, and multiplicity one for U(3); Journal d'Analyse Mathematique 94 (2004), 1-15.

Elementary proof of a fundamental lemma for a unitary group; Canadian Journal of Mathematics 50 (1998), 74-98.

Base change trace identity for U(3); Journal d'Analyse Math\'ematique 52 (1989), 39-52.

Packets and liftings for U(3); Journal d'Analyse Math\'ematique 50 (1988), 19-63.

Unitary quasi-lifting: applications; Transactions of the American Mathematical Society 294 (1986), 553-565.

Unitary quasi-lifting: preparations; Contemporary Mathematics 53 (1986), 119-139.

L-packets and liftings for U(3); mimeographed notes, Princeton 1982.

Stable and labile base change for U(2); Duke Mathematical Journal 49 (1982), 691-729.

Character evaluation:

(with D. Zinoviev) Twisted character of a small representation of GL(4), preprint.

(with D. Zinoviev) Twisted character of a small representation of PGL(4); Moscow Mathematical Journal 4 (2004), 333-368.

(with D. Zinoviev) On the symmetric square. Unstable twisted characters; Israel Journal of Mathematics 134 (2003), 307-316.

Fundamental lemma:

Matching of orbital integrals on GL(4) and GSp(2); Memoirs of the American Mathematical Society 137 (1999), 1-114.

Report on the fundamental lemma for GL(4) and GSp(2); In: Automorphic forms on algebraic groups (1996), 190-206, RIMS, Kyoto.

Elementary proof of a fundamental lemma for a unitary group; Canadian Journal of Mathematics 50 (1998), 74-98.

On the symmetric square. Unit elements; Pacific Journal of Mathematics 175 (1996), 507-526.

Algebra and Geometry:

Motivic torsors ; Israel Journal of Mathematics 122 (2001), 61-77.

(with C. Scheiderer, R. Sujatha) Grothendieck's theorem on non abelian H^2 and local-global principles ; Published version: Journal of the American Mathematical Society 11 (1998), 731-750.

A remark on local-global principles for conjugacy classes; Arkiv f\"or Matematik 40 (2002), 47-53.

Bernstein isomorphism and good forms; in: K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras, 1992 Summer Research Institute; Proceedings of Symposia in Pure Mathematics 58 II (1995), 171-196; Bill Jacob and Alex Rosenberg eds., AMS, Providence RI.

Drinfeld moduli schemes and automorphic forms ; mimeographed notes, Harvard (1989).

Fourier summation formula:

On distinguished representations; Journal fuer die reine und angewandte mathematik 418 (1991), 139-172.

Fourier orbital integrals of spherical functions on U(3) ; unpublished.

Cyclic automorphic forms on a unitary group; Journal of Mathematics Kyoto University 37 (1997), 367-439.

A Fourier summation formula for the symmetric space GL(n)/GL(n-1); Compositio Mathematicae 88 (1993), 39-117.

Distinguished representations and a Fourier summation formula; Bulletin de la Soci\'et\'e Math\'ematique de France 120 (1992), 413-465.

Bi-period summation formula:

A Fourier fundamental lemma for the symmetric space GL(n)/GL(n-1); Journal of the Ramanujan Mathematical Society 14 (1999), 95-107.

Automorphic forms with anisotropic periods on a unitary group; Journal of Algebra 220 (1999), 636-663.

Stable bi-period summation formula and transfer factors; Canadian Journal of Mathematics 51 (1999), 771-791.

(with J. Hakim) Quaternionic distinguished representations ; American Journal of Mathematics 116 (1994), 683-736.

Relative trace formula and simple algebras; Proceedings of the American Mathematical Society 99 (1987), 421-426.

Cusp forms on GL(2n) with GL(n)xGL(n)-periods and simple algebras; Mathematische Nachrichten 183 (1997), 91-111.

Quadratic cycles on GL(2n) cusp forms; Journal of Algebra 174 (1995), 678-697.

Orbital integrals on symmetric spaces and spherical characters; Journal of Algebra 184 (1996), 705-754.

Twisted tensor L-function:

Twisted tensors and Euler products; Bulletin de la Soci\'et\'e Math\'ematique de France 116 (1988), 295-313.

On zeroes of the twisted tensor L-function; Mathematische Annalen 297 (1993), 199-219.

(with D. Zinoviev) On poles of twisted tensor L-functions ; Proceedings of the Japan Academy 71 (1995), 114-116.

The adjoint representation L-function for GL(n); Pacific Journal of Mathematics 154 (1992), 231-244.

Eisenstein series:

(with J. G. M. Mars) Products of Theta series and spectral analysis; Journal of Number Theory 47 (1994), 224-245.

(with J. G. M. Mars) Summation formulae, automorphic realizations and a special value of Eisenstein series; Journal of Mathematics Kyoto University 32 (1992), 715-729.

Simple trace formula:

Transfer of orbital integrals and division algebras; Journal of the Ramanujan mathematical society 5 (1990), 107-122.

(with D. Kazhdan) A simple trace formula; Journal d'Analyse Math\'ematique 50 (1988), 189-200.

Rigidity for Automorphic forms; Journal d'Analyse Math\'ematique 49 (1987), 135-202.

On endo-lifting; Compositio Mathematica 67 (1988), 271-300.

On twisted liftings; Transactions of the American Mathematical Society 290 (1985), 161-178.

Base change:

Regular trace formula and base change for GL(n); Annales de l'Institute Fourier 40 (1990), 1-30.

Regular trace formula and base-change lifting; American Journal of Mathematics 110 (1988), 739-764.

Stable base change for spherical functions; Nagoya Mathematical Journal 106 (1987), 121-142.

The trace formula and base change for GL(3); Lecture Notes in Mathematics 927 (1982), 1-200, Springer-Verlag.

Metaplectic correspondence:

(with D. Kazhdan) Metaplectic correspondence; Publications Math\'ematiques d'IHES 64 (1987), 53-110.

Automorphic forms on covering groups of GL(2); Inventiones Mathematicae 57 (1980), 119-182.

(with D. Kazhdan and G. Savin) Explicit realization of a metaplectic representation; Journal d'Analyse Math\'ematique 55 (1990), 17-39.

Explicit realization of a higher metaplectic representation; Indagationes Mathematicae, New Series 1 (1990), 417-434.

Unramified Whittaker functions on the metaplectic group; Proceedings of the American Mathematical Society 101 (1987), 431-435.

Transcendental number theory:

Linear forms on abelian varieties over local fields; Acta Arithmetica 37 (1980), 47-61.

Linear forms on abelian varieties: Ineffective bounds; Soci\'et\'e Math\'ematique de France, M\'emoire No. 2 (1980), 41-47.

On analytic models of degenerating abelian varieties; Bulletin Soci\'et\'e Math\'ematique de France 107 (1979), 283-293.

Algebraic independence by a method of Mahler; Journal of the Australian Mathematical Society (A) 27 (1979), 173-188.

On p-adic G-functions; Journal of the London Mathematical Society 15 (1977), 395-402.