Solomon Friedberg

Publications, 2000-2009

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Press here to see publications from 2010 on.

(with B. Brubaker, D. Bump) Gauss sum combinatorics and metaplectic Eisenstein series, in: Automorphic Forms and L-functions I: Global Aspects (Ginzburg, Lapid and Soudry, eds.), Contemporary Mathematics Vol. 488, American Mathematical Society, 2009, pp. 61--81. For a .pdf file, click here.

(with G. Chinta, P. E. Gunnells), On the p-parts of quadratic Weyl group multiple Dirichlet series,

Journal für die Reine und Angewandte Mathematik623 (2008), 1--23. For a .pdf file, click here. Also on the arxiv, here.

(with B. Brubaker, D. Bump) Twisted Weyl group multiple Dirichlet series: the stable case, in: Eisenstein Series and Applications (Gan, Kudla and Tschinkel, eds.), 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 Mathematics166 (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 (Ko and Arganbright, eds.), Issues in Mathematics Education Vol. 14, American Mathematical Society, Providence RI, 2007, pp. 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 Math165(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

(with G. Chinta, J. Hoffstein) Multiple Dirichlet series and automorphic forms,131(2006), 363--396. For a .ps file, click here. For a .pdf file, click here.

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, 2004, pp. 131--162. 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 Annalen327 (2003), 315--338.

(with D. Bump, D. Ginzburg) Small representations for odd orthogonal groups,

International Mathematical Research Notices2003:25(2003),1363--1393.(with B. Fisher) Sums of twisted GL(2) L-functions over function fields,

Duke Mathematical Journal117(2003), 543--570.A note on base change, identitites involving tau(n), and a congruence of Ramanujan,

Ramanujan Journal7, No. 1-3 (2003), 165--168 (Robert A. Rankin special memorial issues).

(with D. Bump, D. Ginzburg) On the cubic Shimura lift for PGL

_{3},Israel J. of Mathematics126(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. Society15(2000), 81--124.

Department of Mathematics

Boston College

Chestnut Hill, MA 02467-3806

(617) 552-3002

Solomon.Friedberg@bc.eduMath Department Home Page