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
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Minimal CM Liftings of Supersingular Elliptic Curves
TL;DR: In this paper, it was shown that if every supersingular elliptic curve over Fp can be lifted to a CM elliptical curve by an imaginary order OD for some D? pθ, then θ ≥ 1 2.
Dissertation
Integral transforms of the Minkowski question mark function
TL;DR: The Minkowski question mark function F(x) arises as a real distribution function of rationals in the Farey (alias, Stern-Brocot or Calkin-Wilf) tree.
Journal ArticleDOI
Rank 72 high minimum norm lattices
TL;DR: 6 becomes the highest known minimum norm for rank 72 even unimodular lattices with minimum norms 8 after this method constructs such L ( M, N , k ) in dimensions 96, 120 and 128 with minimum norm 8.
Posted Content
An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces
TL;DR: In this article, a finite set of generators of the image of the natural homomorphism from the automorphism group of a complex algebraic K3 surface to the orthogonal group of the N\'eron-Severi lattice of a supersingular k3 surface is presented.
Journal ArticleDOI
Ovoids from theE 8 root lattice
TL;DR: In this article, a new family of ovoids was constructed in O8+p forp prime, using the E8 root lattice, generalizing a construction of Conway, Kleidman and Wilson.