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We prove an analogue of the Sato-Tate conjecture for Drinfeld modules. Using ideas of Drinfeld,J.-K. Yu showed that Drinfeld modules satisfy some Sato-Tate law, but did not describe the actual law.Mor...
Fourier law, phase transitions and the stationary Stefan problem
Fourier law, phase transitions stationary Stefan problem
2010/12/10
We study the one-dimensional stationary solutions of an integro-differential equation derived by Giacomin and Lebowitz from Kawasaki dy-namics in Ising systems with Kac potentials, [5].
Benford's Law For Coefficients of Modular Forms and Partition Functions
Benford's Law Coefficients of Modular Forms Partition Functions
2010/11/30
Here we prove that Benford’s law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessa...
On the Metabelian Local Artin Map I: Galois Conjugation Law
local fields metabelian extensions metabelian local Artin map non-abelian local class field theory
2010/3/1
It is proved that, for a (henselian) local field K and for a fixed Lubin-Tate splitting f over K, the metabelian local Artin map (?, K)f: B(K, f) \tilde{\rightarrow} Gal (K(ab)2 / K) satisfies the Gal...
Explicit Reciprocity Law for Lubin-Tate Formal Groups
$\Phi\Gamma$-module Formal groups explicit reciprocity law Kummer map
2007/12/11
In this article, using Fontaine's $\Phi\Gamma$-module theory, we give a new proof of Coleman's explicit reciprocity law, which generalizes that of Artin--Hasse, Iwasawa and Wiles, by giving a complete...
A BOUNDARY ELEMENT APPROXIMATION OF A SIGNORINI PROBLEM WITH FRICTION OBEYING COULOMB LAW
2007/12/11
In this work, a Signorini problem with Coulomb friction in two dimensional elasticity is considered. Based on a new representation of the derivative of the double-layer potential, the original problem...
A Berry-Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences
Berry--Esseen theorem law of the iterated logarithm negative association asymptotically negative association
2007/12/11
Negatively associated sequences have been studied extensively in recent years. Asymptotically negative association is a generalization of negative association. In this paper a Berry--Esseen theorem an...