Open AccessBook
A Course in Arithmetic
Reads0
Chats0
TLDR
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
Citations
More filters
Journal Article
Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type
TL;DR: In this paper, the Euler double zeta-function and its generalization of Eisenstein type are considered and functional relations for these series and double series of another type involving hyperbolic functions are given.
Journal ArticleDOI
Loop calculations for the Green-Schwarz superstring
TL;DR: In this article, it was shown that if supersymmetry is unbroken, the cosmological constant vanishes to all orders, and one-and two-particle S-matrix elements for massless particles recieve no loop corrections.
Book ChapterDOI
A Functional Cryptosystem Using a Group Action
TL;DR: A backward deterministic system employing the action of the modular group on the upper half plane and the amalgamated free product structure of the group is constructed and a geometrical algorithm is invented that makes this system tractable.
The proof of fermat's last theorem
TL;DR: The proof of the conjecture mentioned in the title was finally completed in September of 1994 as mentioned in this paper, however, there was a gap in his work and Taylor and Wiles did not close this gap but circumvents it.
Journal ArticleDOI
Mordell-Weil Groups and the Rank of Elliptic Curves over Large Fields
TL;DR: In this article, it was shown that if E/K has a K-rational point P such that 2π 6 O and 3P 6 O for each π ∈ Gal(K/K), then the Mordell-Weil group E(K � ) of E over the fixed subfield of K underhas infinite rank.