Results 21 to 30 of about 323 (40)
Lattices with exponentially large kissing numbers
, 2018 We construct a sequence of lattices $\{L_{n_i}\subset \mathbb R^{n_i}\}$ for $n_i\longrightarrow\infty$, with exponentially large kissing numbers, namely, $\log_2\tau(L_{n_i})> 0.0338\cdot n_i -o(n_i)$.
Vlăduţ, Serge
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Factorization type probabilities of polynomials with prescribed coefficients over a finite field
, 2020 Let $f(T)$ be a monic polynomial of degree $d$ with coefficients in a finite field $\mathbb{F}_q$. Extending earlier results in the literature, but now allowing $(q,2d)>1$, we give a criterion for $f$ to satisfy the following property: for all but $d^2-d-
Slavov, Kaloyan
core
On classification of groups of points on abelian varieties over finite fields [PDF]
, 2015 In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class.Comment: 9 ...
Rybakov, Sergey
core
Motivic integration and the Grothendieck group of pseudo-finite fields
, 2002 We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.Comment: 11 ...
Denef, J., Loeser, F.
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A taste of Weil theory in characteristic one
, 2015 In this very short and sketchy chapter, we draw some pictures on the arithmetic theory of $\mathbb{F}_1$.Comment: 23 pages; to appear as a chapter in the monograph "Absolute Arithmetic and $\mathbb{F}_1$-Geometry" (ed. K.
Thas, Koen
core
The minimum and maximum number of rational points on jacobian surfaces over finite fields
, 2010 We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension ...
Haloui, Safia
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The groups of points on abelian varieties over finite fields
Open Mathematics, 2010 Rybakov Sergey
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Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Open Mathematics, 2014 Bandman Tatiana +2 more
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