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 ArticleDOI
On the vanishing of subspaces of alternating bilinear forms
Rod Gow,Rachel Quinlan +1 more
TL;DR: In this article, the vanishing of subspaces of alternating bilinear forms on 2-dimensional subspace of vector spaces has been studied for various families of field F, including finite fields, and the existence of large subgroups of the commutator subgroup of certain p-groups of class 2.
Dissertation
Asymptotic existence of orthogonal designs
TL;DR: Given any -tuple ( s1, s2, . . . , s ) of positive integers, there is an integer N such that an orthogonal design of order 2 and type 2 exists, for each n ≥ N.
Posted Content
Rank 72 high minimum norm lattices
TL;DR: In this paper, the authors define a family of unimodular lattices (L(M,N,k) ) of rank 72 with minimum norms of 4, 6, 8 and 6, respectively.
Journal ArticleDOI
Computation of the Lambda function for a finite Galois extension
TL;DR: In this article, when a finite extension K/F is Galois, the lambda function λ K /F is given for the local constant of an induced representation of a local Galois group of a non-Archimedean local field of characteristic zero.
Journal ArticleDOI
Motivic nature of character values of depth-zero representations
TL;DR: In this article, it was shown that the values of Harish- Chandra distribution characters on definable compact subsets of the set of topologically unipotent elements of some reductive p-adic groups can be expressed as the trace of Frobenius action on certain geometric objects, namely, Chow motives.