Titlebook: Elliptic Curves, Modular Forms and Cryptography; Proceedings of the A Ashwani K. Bhandari,D. S. Nagaraj,T. N. Venkataram Conference proceed

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Fourier-Reihen und Fourier-Transformation, this part of the book various aspects of the theory of Elliptic curves are treated. Here we give a brief description of the contents of the articles in the order in which they appear. Firstly, there is a quick introductory article by D.S. Nagaraj and B. Sury, in which some basic notations of algebr

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Systemic

Grundlagen der mathematischen Statistik,oup. In other words, .(.) ≅ ℤ. ⊕ . where . is a finite abelian group, the torsion subgroup. One refers to .(.) as the Mordell-Weil group of . over .. Geometrically, if one is given a system of generators for .(.), then one can produce all the points by the chord and tangent process. This means that

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,Gewöhnliche Differentialgleichungen, a central role in many questions about elliptic curves with Complex Multiplication (also called CM elliptic curves for short). The theorem gives precise information about the field obtained by attaching the (co-ordinates of) torsion points of Complex Multiplication elliptic curves.

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Komplexe Zahlen und Funktionen,rve C of genus . over .. The idea is to show how the arithmetic properties of algebraic curves are governed by the familiar trichotomy: . = 0, . = 1, . ≥ 2. Only incidentally shall we mention fields other than . and varieties other than curves.

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https://doi.org/10.1007/978-3-8348-8643-9se branches of Mathematics coming together in the theory of Elliptic Curves and Modular Forms to solve one of the outstanding problems in Number Theory, viz., ‘The Fermat’s Last Theorem’. In Part I of this volume, various aspects of the theory of Elliptic Curves are given. In Part II, we discuss som

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