Solomon Friedberg
Selected PublicationsPress here to see full publication list.
(with B. Brubaker, D. Bump), Weyl group multiple Dirichlet series and Gelfand-Tsetlin patterns, submitted. For a .pdf, click here.
Euler products and twisted Euler products, to appear in: Automorphic forms and the Langlands Program, published jointly by the Higher Education Press in China and the International Press in the USA. For a .pdf file, click here.
(with B. Brubaker, D. Bump) Gauss sum combinatorics and metaplectic Eisenstein series, to appear in Israel Math. Conference Proceedings (Gelbart 60th birthday conference volume), published through the American Mathematical Society. For a .pdf file, click here.
(with G. Chinta, P. E. Gunnells), On the p-parts of quadratic Weyl group multiple Dirichlet series, to appear in Journal für die Reine und Angewandte Mathematik (Crelle's Journal). For a .pdf file, click here.
(with B. Brubaker, D. Bump) Twisted Weyl group multiple Dirichlet series: the stable case, in: Eisenstein Series and Applications (eds. Gan, Kudla, Tschinkel), Progress in Math Vol. 258, Birkhäuser, 2008, pp. 1--26. For a .pdf file, click here.
(with B. Brubaker, D. Bump, J. Hoffstein) Weyl group multiple Dirichlet series III: Eisenstein series and twisted unstable A_r, Annals of Mathematics 166 (2007), 293--316. For a .pdf file, click here.
There are two web-only companion papers to the above paper (each joint work with Brubaker, Bump and Hoffstein). The first is: "Metaplectic Eisenstein series on GL(3)". This contains more details about some of the foundational material and proofs in "Weyl group multiple Dirichlet series III". For a .pdf file, click here. The second is: "Gelfand-Tsetlin interpretation of Chinta's A_5 polynomial". For a .pdf file, click here, but do not print it, as it is 1,012 pages!
(with A. Ash) Hecke L-functions and the distribution of totally positive integers, Canadian Journal of Mathematics 59 (2007), 673--695. For a .pdf file, click here.
Teaching mathematics graduate students to teach: an international perspective, in: Enhancing University Mathematics, Proceedings of the First KAIST International Symposium on Teaching (eds. Ko, Arganbright), Issues in Mathematics Education Volume 14, American Mathematical Society, Providence RI, 2007, 51--55. For a .pdf file, click here.
A previous version of these proceedings was circulated as a bound volume Proceedings of the First KAIST International Symposium on Enhancing University Mathematics Teaching, Korean Advanced Institute of Science and Technology, Daejeon, Korea, 2005, and this article is on pages 177--181 of that volume. There are minor differences between the two versions.(with B. Brubaker, D. Bump) Weyl group multiple Dirichlet series II: the stable case, Inventiones Math 165 (2006), 325--355. For a .pdf file, click here. For an older .pdf version of the paper that contains a more coordinatized treatment, click here.
(with D. Bump, D. Ginzburg) Lifting automorphic representations on the double covers of orthogonal groups, Duke Mathematical Journal 131 (2006), 363--396. For a .ps file, click here. For a .pdf file, click here.
(with G. Chinta, J. Hoffstein) Multiple Dirichlet series and automorphic forms, Proc. Symp. Pure Math. 75 (2006), 3--41. For a .pdf file, click here.
(with B. Brubaker, D. Bump, G. Chinta, J. Hoffstein) Weyl group multiple Dirichlet series I, Proc. Symp. Pure Math. 75 (2006), 91--114. For a .ps file, click here.
Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, edited by S. Friedberg (Managing Editor), D. Bump, D. Goldfeld, J. Hoffstein, Proceedings of Symposia in Pure Mathematics, Volume 75, American Mathematical Society (Providence, RI), 2006.
(with G. Chinta, J. Hoffstein) Asypmtotics for sums of twisted L-functions and applications, in: Automorphic Representations, L-functions and Applications: Progress and Prospects, Ohio State University Mathematical Research Institute Publications 11, de Gruyter, 2005, pp. 75--94. For a .pdf file, click here.
(with B. Brubaker, J. Hoffstein) Cubic twists of GL(2) automorphic L-functions, Inventiones Math. 160 (2005), 31--58. For a .pdf file, click here.
Teaching mathematics graduate students how to teach, Notices of the American Mathematical Society 52 (2005), 842--847. For a .pdf file, click here.
(with D. Bump, J. Hoffstein) Sums of twisted GL(3) automorphic L-functions, in Contributions to Automorphic Forms, Geometry and Arithmetic (H. Hida, D. Ramakrishnan and F. Shahidi, eds.), Johns Hopkins Univ. Press, 131--162, 2004. For a .pdf file, click here.
(with B. Fisher) Double Dirichlet series over function fields, Compositio Mathematica 140 (2004), 613--630. For a .pdf file, click here.
(with J. Hoffstein, D. Lieman) Double Dirichlet series and the n-th order twists of Hecke L-series, Mathematische Annalen 327 (2003), 315--338.
(with D. Bump, D. Ginzburg) Small representations for odd orthogonal groups, International Mathematical Research Notices 2003:25 (2003), 1363--1393.
(with B. Fisher) Sums of twisted GL(2) L-functions over function fields, Duke Mathematical Journal 117 (2003), 543--570.
A note on base change, identitites involving tau(n), and a congruence of Ramanujan, Ramanujan Journal 7, No. 1-3 (2003), 165--168 (Robert A. Rankin special memorial issues).
(with D. Bump, D. Ginzburg) On the cubic Shimura lift for PGL3, Israel J. of Mathematics 126 (2001), 289--308.
S. Friedberg and the BCCase Development Team, Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom, Issues in Mathematics Education Volume 10, American Mathematical Society, Providence RI, 2001. Faculty Edition ISBN 0-8218-2875-4; Graduate Student Edition ISBN 0-8218-2823-1.
(with D. Bump, D. Ginzburg) A Rankin-Selberg integral using the automorphic minimal representation of SO(7), J. Ramanujan Math. Society 15 (2000), 81--124.
(with S. Gelbart, H. Jacquet, J. Rogawski) Représentations génériques du groupe unitaire à 3 variables, Comptes Rendus de l'Académie des Sciences, Paris 329, Série I (1999), 255--260.
(with D. Bump, D. Ginzburg) Rankin-Selberg integrals in two complex variables, Mathematische Annalen 313 (1999), 731--761.
(with D. Goldberg) On local coefficients for non-generic representations of some classical groups, Compositio Mathematicæ 116 (1999), 133--166.
(with D. Bump) Metaplectic generating functions and Shimura integrals, in Automorphic Forms, Automorphic Representations, and Arithmetic, Proc. Symp. Pure Math. 66, Part 2 (1999), 1--17.
(with D. Bump, M. Furusawa) Explicit formulas for the Waldspurger and Bessel models, Israel Journal of Mathematics, 102, 1997, 125-177.
(with H. Jacquet) The Fundamental Lemma for the Shalika Subgroup of GL(4), Memoirs of the A.M.S., Volume 124, No. 594, 1996.
(with D. Bump, J. Hoffstein) On some applications of automorphic forms to number theory, Bulletin of the A.M.S. 33 (1996), 157--175.
(with J. Hoffstein) Nonvanishing theorems for automorphic L-functions on GL(2), Annals of Mathematics 142 (1995), 385--423.
Department of Mathematics
Boston College
Chestnut Hill, MA 02467-3806
(617) 552-3002
Solomon.Friedberg@bc.eduMath Department Home Page