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Number Theory

Z.I. Borevich
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The article was published on 1966-01-01 and is currently open access. It has received 2569 citations till now. The article focuses on the topics: Number theory.

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The Arithmetic of Elliptic Curves

Joseph H. Silverman
TL;DR: It is shown here how Elliptic Curves over Finite Fields, Local Fields, and Global Fields affect the geometry of the elliptic curves.
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Higgs bundles and local systems

Carlos Simpson
- 01 Dec 1992 - 
TL;DR: In this paper, the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
Journal ArticleDOI

Modular curves and the Eisenstein ideal

Barry Mazur
- 01 Dec 1977 - 
TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Integral Symmetric Bilinear Forms and Some of Their Applications

V V Nikulin
- 28 Feb 1980 - 
TL;DR: In this article, the discriminant-form technique is used to transfer many results for unimodular symmetric bilinear forms to the non-unimodular case and is convenient in calculations.
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An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers

E M Matveev
- 31 Aug 1998 - 
TL;DR: In this paper, the authors studied linear forms with rational integer coefficients satisfying the strong independence condition and proved an explicit estimate of the form in standard notation, and showed that the form contains no factors in the form.