- REFERENCES ON MULTIPLE ZETA VALUES AND EULER SUMS
- Kaneenika Sinha
- Analytic number theory
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REFERENCES ON MULTIPLE ZETA VALUES AND EULER SUMS
Email, fax, or send via postal mail to:. Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years.
Press Gauss sum combinatorics and metaplectic Eisenstein series with D. Friedberg , In ''Automorphic forms and L-functions I. Global Aspects,'' Contemporary Mathematics v.
- Commutative Semigroups (Advances in Mathematics).
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Twisted Weyl group multiple Dirichlet series: the stable twisted case with D. Friedberg , Eisenstein series and applications Bump, S.
Friedberg, and J. Hoffstein , Annals of Math.
Pure Math. Friedberg , Invent.
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- Combinatorics, Multiple Dirichlet Series and Analytic Number Theory.
Bump, G. Chinta, S. Hoffstein , Proc.
Reine Angew. Friedberg and J.
Hoffstein , Invent. Bucur, G. Frechette and J. Thesis, Brown University Their names, interests, and first jobs are listed below: Mario DeFranco, 3rd year graduate student, working on projects in p-adic Whittaker functions. Catherine Lennon, post-doc at UPenn, graduated May, , wrote a thesis on finite field hypergeometric function identities for traces of Hecke operators and trace of Frobenius for elliptic curves.
Here are the two papers that comprised her thesis: Gaussian Hypergeometric Evaluations of Traces of Frobenius for Elliptic Curves A Trace Formula for Certain Hecke Operators and Gaussian Hypergeometric Functions Sawyer Tabony, visiting assistant professor at Boston College, graduated May, wrote a thesis on symmetric function theory from lattice models in statistical mechanics and Hecke algebra computations for the metaplectic group.
Peter McNamara Szego asst. Carl Erickson, Stanford Class of '07, has been working on behavior of the Riemann Zeta Function in the critical strip. I tried to write detailed course notes -- some of which are little more than recasting of notes of Milne, or Shimura's book, or Borel's book.
Analytic number theory
They are available here: During the ''10 academic year, once again I taught For Spring '09, I taught During Fall '08, I taught These course webpages are retired each semester, as their contents are used in future semesters. During Spring '08, I taught I hope to eventually put up students' final projects, which were outstanding and original. For Fall, '07, I taught During Spring '07, I taught This course covers Lebesgue measure and integration theory and Fourier analysis, using the book by Adams and Guillemin. We'll discuss applications to probability along the way, and if time permits, how both the probability and the Fourier analysis are used in modern analytic number theory.