Concept

P-adic number

Related publications (33)

Simultaneous Approximation of Polynomials

Let P-d denote the family of all polynomials of degree at most d in one variable x, with real coefficients. A sequence of positive numbers x(1)

Springer Int Publishing Ag2016

The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition

Neil John Saunders

The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...

Taylor & Francis Inc2016

Shimura Curves and Special Values of p-adic L-functions

Ernest Hunter Brooks

We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the p-adic Abel-Jacobi map coincide with the values (outside the range of interpolation) of a p-adic L-functio ...

Oxford University Press2015

The control of the scaled false discovery rate, a flexible and comprehensive error control and a powerful theoretical tool in multiple testing

Dimitri Nestor Alice Van De Ville, Stephan Morgenthaler, Djalel Eddine Meskaldji

Given the large number of papers written over the last ten years on error controls in high dimensional multiple testing, it would be worthwhile to consider a single comprehensive technique that allows user flexibility in error control when dealing with big ...

2015

Computing in social networks

Rachid Guerraoui, Anne-Marie Kermarrec, Kévin Clément Huguenin, Andrei Giurgiu

This paper defines the problem of Scalable Secure computing in a Social network: we call it the S-3 problem. In short, nodes, directly reflecting on associated users, need to compute a symmetric function f : V-n -> U of their inputs in a set of constant si ...

Elsevier2014

Spaces With Noetherian Cohomology

Jérôme Scherer

Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. W ...

Cambridge University Press2013

Fixed Point Property For Universal Lattice On Schatten Classes

Masato Mimura

The special linear group G = SLn(Z[x(1), ... , x(k)]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, and p be any real number in (1, infinity). The main result is the following: any finite index subgroup of G has the fixe ...

Amer Mathematical Soc2013

Some Thoughts on Robustness and Multiple Testing

Stephan Morgenthaler, Djalel Eddine Meskaldji

When testing many null hypotheses, deciding which of them to reject is a subtle game. The prevailing approach consists in deciding on a level and type of control against false rejections (errors of type I) and subject to this constraint to maximize the num ...

2012

On the Reduction of Points on Abelian Varieties and Tori

Antonella Perucca

Let G be the product of an abelian variety and a torus defined over a number field K. Let R-1, ..., R-n be points in G(K). Let l be a rational prime, and let a(1), ..., a(n) be nonnegative integers. Consider the set of primes p of K satisfying the followin ...

2011

Overlap properties of geometric expanders

The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) is an element of (0, 1] such that no matter how we map the vertices of H into R-d, there is a point covered by at least a c(H)-fraction of the simplices induced by the ...

De Gruyter2011

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