Open AccessBook
A Course in Arithmetic
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
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Book ChapterDOI
The Automorphism Groups of Certain Singular K 3 Surfaces and an Enriques Surface
TL;DR: In this paper, a finite set of generators of the full automorphism groups of three singular K3 surfaces on which the alternating group of degree 6 acts symplectically is presented.
Proceedings ArticleDOI
Function Computation over Linear Channels
TL;DR: In this paper, the authors consider multiple non-colocated sources communicating over a network to a common sink, and they design communication protocols that can perform computation without modifying the network operation, by appropriately selecting the codebook that the sources employ to map their measurements to the data they send over the network.
Journal ArticleDOI
On automorphisms of free pro-$p$-groups. I
Wolfgang Herfort,Luis Ribes +1 more
TL;DR: In this paper, it was shown that the group of automorphisms Aut(F) of a free pro-p-group G of finite rank is a profinite group.
Journal ArticleDOI
Arboreal Cantor actions
TL;DR: In this article, minimal equicontinuous actions of discrete countably generated groups on Cantor sets, obtained from the arboreal representations of absolute Galois groups of fields, are studied.
Journal ArticleDOI
Construction of automorphisms of hyperk\"ahler manifolds
Ekaterina Amerik,Misha Verbitsky +1 more
TL;DR: In this article, the authors consider an irreducible holomorphic symplectic (hyperkahler) manifold and construct a deformation that admits a parabolic automorphism of infinite order.