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Dirichlet series
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51	1 Dirichlet Beta Generating Functions Both of hyperbolic functions and trigonometric functions can be expanded to Fourier series and Taylor series. And if the termwise higher order integration of these is carried out, Di Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 07:05:47 Exponentials Hyperbolic function Hyperbolic geometry Mathematical analysis Mathematics Special functions
52	Coefficients of the n-fold Theta Function and Weyl Group Multiple Dirichlet Series Benjamin Brubaker, Daniel Bump, Solomon Friedberg, Jeffrey Hoffstein Dedicated to Professor Samuel J. Patterson in honor of his sixtieth Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:11 Modular forms Dirichlet series Root system Hecke operator Series Mathematical analysis Abstract algebra Mathematics
53	Remarks on the P´ olya–Vinogradov inequality Carl Pomerance Dedicated to Mel Nathanson on his 65th birthday Abstract: We establish a numerically explicit version of the P´ olya– Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-07-29 15:08:21 Hypotheses Riemann hypothesis Fourier series Dirichlet character Dirichlet L-function Character sum Mathematics Analytic number theory Conjectures
54	Crystals and Multiple Dirichlet Series Brubaker, Bump, Chinta, Friedberg, Gunnells Work In Progress Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:05 Lie algebras Weyl character formula Littelmann path model Quantum group Weight Symbol Hopf algebra Universal enveloping algebra Restricted representation Abstract algebra Algebra Representation theory
55	Function field example of a quadratic double Dirichlet series Gautam Chinta Bretton Woods, NH 11 July 2005 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:38:44 Polynomials Algebraic number theory Field theory Number theory Quadratic reciprocity Quadratic residue Monic polynomial Dirichlet L-function Finite field Abstract algebra Mathematics Algebra
56	Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory Ben Brubaker, Daniel Bump and Solomon Friedberg Department of Mathematics, MIT, Cambridge MA[removed], USA Department of Mathematics, Stanford Universit Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Representation theory of Lie groups Number theorists Dirichlet series Weyl character formula Series Hermann Weyl Multiplicative function Mathematical analysis Mathematics Abstract algebra
57	More applications of multiple Dirichlet series Gautam Chinta Bretton Woods, NH 13 July 2005 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Analytic number theory Elliptic curve Group theory Fourier series Dirichlet character Symbol Conjectures Modular forms Generalized Riemann hypothesis Abstract algebra Mathematical analysis Mathematics
58	Multiple Dirichlet Series and Automorphic Forms, I Solomon Friedberg July 20, 2005 Abstract This is the first of a series of three lectures concerning multiple Dirichlet Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:06 Analytic number theory Automorphic L-function Langlands program Functional equation Symbol Modular form Hecke character Fourier series Dirichlet character Mathematical analysis Mathematics Abstract algebra
59	Proceedings of Symposia in Pure Mathematics Weyl Group Multiple Dirichlet Series I Benjamin Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg, and Jeffrey Hoffstein Given a root system Φ of rank r and a global fi Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:07 Lie groups Algebra Euclidean geometry Root system Weyl group Entailment C2 Dirichlet series Abstract algebra Logic Lie algebras
60	Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Bases Ben Brubaker, Daniel Bump and Solomon Friedberg October 7, [removed] Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:37 Representation theory of Lie groups Lie algebras Representation theory Weyl character formula Metaplectic group Dirichlet series Whittaker model Quantum group Series Abstract algebra Mathematical analysis Group theory