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Elliptic operator
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51	Modular Forms: A Computational Approach William A. Stein (with an appendix by Paul E. Gunnells) Department of Mathematics, University of Washington E-mail address: [removed] Add to Reading List Source URL: modular.math.washington.edu Language: English - Date: 2009-04-21 02:18:33 Mathematics Hecke operator Cusp form Eisenstein series Modular curve Atkin–Lehner theory Elliptic curve Siegel modular form Automorphic form Modular forms Mathematical analysis Abstract algebra
52	A CLASS OF SOLUTIONS TO THE 3D CUBIC NONLINEAR ¨ SCHRODINGER EQUATION THAT BLOW-UP ON A CIRCLE JUSTIN HOLMER AND SVETLANA ROUDENKO Abstract. We consider the 3d cubic focusing nonlinear Schr¨odinger equation Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2010-03-22 13:41:48 Analytic number theory Elliptic curve Group theory Operator theory Spectral theory Spectral theory of ordinary differential equations Frobenius method Mathematical analysis Ordinary differential equations Mathematics
53	ON TATE-SHAFAREVICH GROUPS OF SOME ELLIPTIC CURVES FRANZ LEMMERMEYER Abstract. Generalizing results of Stroeker and Top we show that the 2-ranks of the Tate-Shafarevich groups of the elliptic curves y 2 = (x + k)(x2 + k2 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:03 Symbol Quadratic reciprocity Μ operator Spectral theory of ordinary differential equations Mathematics Number theory Abstract algebra
54	A short course on Siegel modular forms POSTECH Lecture series, July 2007 Winfried Kohnen ”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935 and nowadays often are giv Add to Reading List Source URL: www.mathi.uni-heidelberg.de Language: English - Date: 2007-08-10 06:08:36 Analytic number theory Modular forms Group theory Moduli theory Riemann surfaces Modular group Elliptic curve Theta function Hecke operator Mathematical analysis Mathematics Abstract algebra
55	SOME FAMILIES OF NON-CONGRUENT NUMBERS FRANZ LEMMERMEYER Abstract. In this article we study the Tate-Shafarevich groups corresponding to 2-isogenies of the curve Ek : y 2 = x(x2 − k2 ) and construct infinitely many exa Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:50 Analytic number theory Symbol Quadratic reciprocity Elliptic curve Spectral theory of ordinary differential equations Μ operator Abstract algebra Mathematics Number theory
56	Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2014, Article ID[removed], 8 pages http://dx.doi.org[removed][removed]Research Article Add to Reading List Source URL: downloads.hindawi.com Language: English - Date: 2014-08-28 09:18:26 Ordinary differential equation Elliptic operator Partial differential equation Calculus Mathematical analysis Differential equation
57	Regular and irregular solutions for a class of elliptic systems in the critical dimension Lisa Beck∗ Jens Frehse∗∗ Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2014-01-20 09:55:27 Sobolev spaces Calculus of variations Operator theory Constructible universe Vector space Sobolev inequality Ordinal number Free boundary problem Sturm–Liouville theory Algebra Mathematics Mathematical analysis
58	Optimal Approximation of Elliptic Problems II: Wavelet Methods Stephan Dahlke, Erich Novak, and Winfried Sickel 1. Introduction. We study the optimal approximation of the solution of an operator equation A(u) = f, Add to Reading List Source URL: drops.dagstuhl.de Language: English - Date: 2005-04-21 10:51:42 Operator theory Linear algebra Differential operators Multivariable calculus Partial differential equation Hilbert space Elliptic operator Wavelet Differential equation Calculus Mathematical analysis Mathematics
59	The Best Constant of Sobolev Inequality Corresponding to Clamped Boundary Value Problem Add to Reading List Source URL: www.boundaryvalueproblems.com Language: English Inequalities Linear algebra Physics Quantum mechanics Sobolev inequality Cauchy–Schwarz inequality Hilbert space Uniform convergence Elliptic boundary value problem Mathematics Operator theory Mathematical analysis
60	Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2013, Article ID[removed], 10 pages http://dx.doi.org[removed][removed]Research Article Add to Reading List Source URL: downloads.hindawi.com Language: English - Date: 2014-08-28 18:08:25 Limit superior and limit inferior Dynamical systems Ordinary differential equations Lyapunov stability Elliptic operator Mathematical analysis Differential equation Calculus