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Abstract analytic number theory
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191	The average rank of elliptic curves Manjul Bhargava Princeton University Conference on the BSD Conjecture DPMMS, Cambridge Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2011-10-28 10:28:03 Elliptic curves Conjectures Elliptic curve Group theory Algebraic curves Birch and Swinnerton-Dyer conjecture Manjul Bhargava Curve Cubic plane curve Mathematics Abstract algebra Analytic number theory
192	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
193	ENDOSCOPIC L-FUNCTIONS AND A COMBINATORIAL IDENTITY James Arthur* 1. Introduction. In this paper we shall prove a combinatorial identity for certain functions attached to reductive algebraic groups over number fields. Th Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:11 Mathematics Meromorphic functions Symbol Analytic number theory Algebraic number field Valuation Residue Modular form Abstract algebra Mathematical analysis Field theory
194	CMI C L A Y M A T H E M A T I C S Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-01-04 06:34:06 Number theorists Conjectures Algebraic geometry Analytic number theory Jonathan Pila Year of birth missing André–Oort conjecture Diophantine geometry Clay Mathematics Institute Mathematics Abstract algebra Geometry
195	ON A FAMILY OF DISTRIBUTIONS OBTAINED FROM EISENSTEIN SERIES I: APPLICATION OF THE PALEY-WIENER THEOREM Introduction. This is the first of two papers aimed at finding explicit formulas for certain distributions. The dist Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:06 Fourier analysis Functional analysis Analytic number theory Group theory Generalized functions Fourier transform Modular form Induced representation Distribution Mathematical analysis Abstract algebra Mathematics
196	MULTIPLE ELLIPTIC POLYLOGARITHMS FRANCIS BROWN AND ANDREY LEVIN Abstract. We study the de Rham fundamental group of the configuration space E (n) of n+1 marked points on an elliptic curve E, and define multiple elliptic Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:26 Analytic number theory Theta function Letter Greek alphabet Elliptic curve Symbol Spectral theory of ordinary differential equations Mathematical analysis Elliptic functions Modular forms
197	COMPOSITIO MATHEMATICA, Vol. 40, Fasc. 1, 1980, pag[removed] © 1980 Sijthoff & Noordhoff International Publishers - Alphen aan den Rijn Printed in the Netherlands A TRACE FORMULA FOR REDUCTIVE GROUPS II: APPLICATIONS OF Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:01 Group theory Lie groups Exponentials Mathematical analysis Analytic number theory Elliptic curve Inverse Galois problem Abstract algebra Mathematics Algebra
198	MIXED TATE MOTIVES OVER Z FRANCIS BROWN Abstract. We prove that the category of mixed Tate motives over Z is spanned by the motivic fundamental group of P1 minus three points. We prove a conjecture by M. Hoffman which st Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:26 Algebraic geometry Homological algebra Motive Zeta Analytic number theory Abstract algebra Mathematics Mathematical analysis
199	Arithmetic Geometry Clay Mathematics Proceedings Volume 8 Arithmetic Geometry Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-04 05:48:24 Diophantine geometry Algebraic curves Elliptic curves Analytic number theory Abelian varieties Heegner point Birch and Swinnerton-Dyer conjecture Rational point Arithmetic of abelian varieties Abstract algebra Algebraic geometry Mathematics
200	BMC 2011: EARLY CAREER SESSION (MONDAY) The early career session is an informal session featuring talks by PhD students and other early career researchers. Talks will be in Bennett Lecture Theatre 10 (BEN LT10). All are Add to Reading List Source URL: www2.le.ac.uk Language: English - Date: 2011-04-15 09:57:46 Mathematics Analytic number theory Hecke operator Elliptic curve Shimura correspondence Quadratic Algebra Integral Weight Mathematical analysis Abstract algebra Modular forms

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