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Abstract analytic number theory
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221	NATURAL BOUNDARIES AND THE CORRECT NOTION OF INTEGRAL MOMENTS OF L–FUNCTIONS Adrian Diaconu, Paul Garrett and Dorian Goldfeld Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-09-18 11:32:11 Mathematics Analytic number theory Gamma function Riemann zeta function Residue Algebraic number field Special functions Polylogarithm Real analytic Eisenstein series Mathematical analysis Abstract algebra Meromorphic functions
222	COUNTING CONGRUENCE SUBGROUPS Dorian Goldfeld Alexander Lubotzky ´szlo ´ Pyber Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2003-04-18 21:03:45 Group theory Modular forms Analytic number theory Bombieri–Vinogradov theorem Sieve theory Congruence subgroup Valuation Riemann hypothesis Prime number theorem Abstract algebra Mathematics Mathematical analysis
223	Moments for L-functions for GLr GLr−1 A. Diaconu, P. Garrett, D. Goldfeld[removed]. Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-09-25 11:13:03 Analytic number theory Special functions Moduli theory Algebraic number field Algebraic number theory Field theory Modular form Residue Abstract algebra Mathematical analysis Mathematics
224	M ath. Res. Lett. c International Press[removed]), no. 2, 315–332 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2008-02-08 19:20:50 Automorphic forms Representation theory of Lie groups Conjectures Number theory Analytic number theory Cuspidal representation Multiplicity-one theorem Modular form Local Langlands conjectures Abstract algebra Mathematics Algebra
225	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
226	MODULAR FORMS AND CALABI-YAU VARIETIES KAPIL PARANJAPE1 AND DINAKAR RAMAKRISHNAN2 Introduction Let f (z) = Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-04-02 03:40:44 Modular forms Analytic number theory Group theory Algebraic geometry Algebraic curves Elliptic curve Calabi–Yau manifold Motive Congruence subgroup Abstract algebra Mathematical analysis Mathematics
227	From: Liang, Lily [LLiang@collegeboard Add to Reading List Source URL: www.maine.gov Language: English - Date: 2010-06-11 20:43:51 Algebra Geometry Prime number Number Quadratic Analytic geometry Equations Polynomials Algebraic geometry Mathematics Abstract algebra Number theory
228	PDF Document Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2013-12-02 07:06:01 Analytic number theory Modular group Complex number Index of a subgroup Lie groups Geometric group theory Abstract algebra Group theory Modular forms
229	F -virtual Abelian Varieties of GL2-type and Rallis Inner Product Formula Chenyan Wu Submitted in partial fulfillment of the Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2011-08-31 23:56:05 Abelian varieties Algebraic curves Niels Henrik Abel Elliptic curves Analytic number theory Moduli space Shimura variety Heegner point Theta function Abstract algebra Algebraic geometry Mathematical analysis
230	DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2011-12-13 10:36:48 Linear algebra Analytic number theory Quadratic forms Algebraic number theory Real algebraic geometry Elliptic curve Symbol Symplectic vector space Algebraic number field Algebra Abstract algebra Mathematics

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