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Abstract analytic number theory
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61	825 Documenta Math. The Global Structure of Moduli Spaces of Polarized p-Divisible Groups Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2008-12-31 12:34:14 Invariant theory Algebra Moduli space Dual abelian variety Étale morphism Analytic number theory Algebraic groups Abstract algebra Algebraic geometry Moduli theory
62	The Millennium Prize Problems EightSquaredCon 2013 EasterThe Millennium Prize Problems Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2013-04-05 06:46:50 Analytic number theory Conjectures Millennium Prize Problems Algebraic geometry Riemann hypothesis Hodge conjecture Manifold Riemann zeta function Yang–Mills theory Mathematics Mathematical analysis Abstract algebra
63	Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:48 Mathematics Analytic number theory Algebraic geometry Shimura variety Selberg trace formula Explicit formula Representation theory Modular form Arthur–Selberg trace formula Mathematical analysis Abstract algebra Automorphic forms
64	Review of Elliptic curves, by Anthony W. Knapp This book is about elliptic curves and modular functions, two topics that are intimately related in both accidental and essential ways. As emphasized by Andr´e Weil in his Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:16:30 Analytic number theory Modular forms Algebraic curves Abelian varieties Conjectures Elliptic curve Modularity theorem Modular elliptic curve Arithmetic of abelian varieties Abstract algebra Mathematics Mathematical analysis
65	Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with algebraic matters, are notoriously difficult, the papers on geometry and analysis were often models of eas Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:21:26 Automorphic forms Algebraic geometry Analytic number theory Langlands program Homological algebra Shimura variety Automorphic L-function Orthogonal group Elliptic curve Abstract algebra Mathematics Mathematical analysis
66	PDF Document Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:19:20 Modular forms Automorphic forms Analytic number theory Number theory Fractals Eisenstein series Cusp form Representation theory Hecke operator Mathematical analysis Abstract algebra Mathematics
67	Recent progress on point-counting algorithms David Harvey University of New South Wales 1st October 2013, University of Sydney Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2013-10-04 02:06:12 Algebraic curves Group theory Analytic number theory Field theory Polynomial Computational complexity theory Elliptic curve Hyperelliptic curve Prime number Abstract algebra Mathematics Algebra
68	User’s Guide to the PARI library (versionThe PARI Group Add to Reading List Source URL: pari.math.u-bordeaux.fr Language: English - Date: 2014-03-22 13:13:43 Field theory Analytic number theory PARI/GP Portable software Elliptic curve Quadratic form Prime number C Number theory Mathematics Abstract algebra Algebra
69	Computing zeta functions of projective hypersurfaces in large characteristic David Harvey New York University 22nd April 2010 Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2011-07-17 23:06:27 Analytic number theory Group theory Elliptic curve Zeta function Logarithm Number theory Riemann hypothesis Abstract algebra Mathematics Mathematical analysis
70	Elliptic Functions with Simple Symmetries and Fast Addition Formulas H. Karcher, Bonn Any two elliptic functions f, g of degree 2 diﬀer only by a torus translation T and a M¨ obius transformation M , i.e. g = M ◦ f Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2005-06-02 12:43:45 Analytic number theory Elliptic functions Ordinary differential equations Elliptic curve Group theory Sheaf Jacobi elliptic functions Spectral theory of ordinary differential equations Sturm–Liouville theory Mathematical analysis Abstract algebra Mathematics

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