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A Course in Arithmetic
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In this article, the theorem on arithmetic progressions modular forms is proved for finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratics forms with discriminant +-1.Abstract:
Part 1 Algebraic methods: finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratic forms with discriminant +-1. Part 2 Analytic methods: the theorem on arithmetic progressions modular forms.read more
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Problems by the wayside
TL;DR: This book discusses Lie incidence geometries of finite buildings, which have not been worked on much, yet relate to the Classical Finite Geometries which the author views as central.
Journal ArticleDOI
Average size of the 2-Selmer group of Jacobians of monic even hyperelliptic curves
Arul Shankar,Xiaoheng Wang +1 more
TL;DR: In this paper, the authors considered the family of hyperelliptic curves over Q having a fixed genus and a marked rational non-Weierstrass point and showed that when these curves are ordered by height, the average size of the 2-Selmer group of their Jacobians is 6.
Proceedings ArticleDOI
The Arithmetic of Discretized Rotations
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Book
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