Trace functions and Galois invariant p-adic measures.
Marian Vajaitu, Alexandru Zaharescu (2006)
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Marian Vajaitu, Alexandru Zaharescu (2006)
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Fernando Pablos Romo (2007)
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The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.
[Proceedings of the
Alexander Moretó (2007)
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In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.
[Proceedings of the
Fernando Rodríguez-Villegas (2007)
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We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices.
[Proceedings of the
Jörn Steuding (2007)
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We investigate the value-distribution of Epstein zeta-functions ζ(s; Q), where Q is a positive definite quadratic form in n variables. We prove an asymptotic formula for the number of c-values, i.e., the roots of the equation ζ(s; Q) = c, where c is any fixed complex number. Moreover, we show that, in general, these c-values are asymmetrically distributed with respect to the critical line Re s =n/4. This complements previous results on the zero-distribution. ...
Eduardo Friedman (2007)
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[Proceedings of the (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Javier Cilleruelo, Gérald Tenenbaum (2007)
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We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials.
[Proceedings of the
Jordi Guàrdia (2007)
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We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of families of elliptic curves with everywhere good reduction.
[Proceedings of the
Pascal Auscher (2004)
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Julián Aguirre, Juan Carlos Peral (2007)
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We obtain new bounds for the integer Chebyshev constant of intervals [p/q, r/s] where p, q, r and s are non-negative integers such that qr - ps = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers.
[Proceedings of the
Leonid A. Kurdachenko, Igor Ya. Subbotin (2003)
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This article is dedicated to some criteria of generalized nilpotency involving pronormality and abnormality. Also new results on groups, in which abnormality is a transitive relation, have been obtained.
P. Auscher, Q. X. Yang (2009)
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A. Elduque, S. Okubo (2008)
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Pertti Mattila (2004)
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This is a survey on transformation of fractal type sets and measures under orthogonal projections and more general mappings.