[PDF] Top 20 article02_7. 207KB Jun 04 2011 12:06:50 AM

... The answer to this problem is known to be negative for K = Q ([5]) and for the following fields K by reduction to the field K = Q: K of complex degree ≤ 2 over a totally real field (Denef and Lipshitz [6], [7], [8]), K ... Lihat dokumen lengkap

... Recent work on equations of type (1.1) under condition (1.2) have mostly followed the trail blazed by Wiles. For surveys of this emerging field, the reader is directed to papers of Kraus [10] and Merel [12], or, ... Lihat dokumen lengkap

... On the ratio σn/nlog logn as nranges over various sets of integers We have proved that Robin’s inequality holds for large enough odd num-bers, squarefree and squarefull numbers.. A natu[r] ... Lihat dokumen lengkap

... The method devised by Hasse to compute the density of rational primespfor which the order of a mod p is odd where a is any integer, not just 2 proceeded by first calculating the sub-dens[r] ... Lihat dokumen lengkap

... In [6] the second author discovered a general scheme, with the help of nonstandard analysis, how one can derive a theorem about the upper Banach density parallel to each existing theorem[r] ... Lihat dokumen lengkap

... In 1934, Scholz [12] proved a rational quartic reciprocity law via class field theory. While the law still bears Scholz’s name, it was recently noted by Lemmermeyer (see the notes at the end of Chapter 5 in [11]) ... Lihat dokumen lengkap

... We show how to adapt Terr’s variant of the baby-step giant-step algorithm of Shanks to the computation of the regula-tor and of generaregula-tors of principal ideals in real-quadratic nu[r] ... Lihat dokumen lengkap

... In fact, if L is one of these extensions, then there exists a cyclic extension K|Qp such that K ⊆L and L|K is an extension of degree p2 whose normal closure a p-extension see Prop.. The[r] ... Lihat dokumen lengkap

... Also, Mignotte (see [20]) gives a positive answer to Lehmer’s problem for any α of degree d such that there exists a prime p ≤ d log d which splits completely in Q(α). More recently, Lehmer’s problem was solved by ... Lihat dokumen lengkap

... Theorem 17. For any abelian variety A of dimension g over the p-adic field K, there is a finite extension L of K of degree bounded only in terms of g, such that A has infinitely many almost rational torsion points over ... Lihat dokumen lengkap

... The following proposition is a consequence of [V], p.140, Theorem 2’ the quoted theorem of Varopoulos is stronger than this statement: Proposition 2.. We do not know whether Proposition[r] ... Lihat dokumen lengkap

... On suppose que L est ample sur X, que la m´etriquek kest C∞, et que la courbureω =ω On fait l’hypoth`ese ∗ suivante : pour tout ferm´e int`egre Y de XQ de dimensionp−1, on a h′ Remarqu[r] ... Lihat dokumen lengkap

... Canonical number systems can be viewed as natural generalizations of radix representations of ordinary integers (V. Gr¨ unwald [12]) to algebraic integers. Originating from observations of D. E. Knuth [17] (see ... Lihat dokumen lengkap

... Dans cette note, nous montrons que la dynamique d’un polynˆome quadratique sur un corps local peut ˆetre d´etermin´ee en temps fini, et que l’on a l’alternative suivante : soit l’ensembl[r] ... Lihat dokumen lengkap

... Letfnbe a complex valued arithmetical function satisfying ∞ X n=1 fn ns =ζsζ βs+ 1gs+ 1, for a complex numberβ, andgs having a Dirichlet series expansion gs = ∞ X n=1 cn ns, w[r] ... Lihat dokumen lengkap

... deux am´eliorations de la partie combinatoire de l’argument de ...premi`ere am´elioration augmente ...deuxi`eme am´elioration est une g´en´eralisation ` a A 1 , ... Lihat dokumen lengkap

... In recent years there have been growing interest on quantum systems with a minimal length [1, 2, 3, 4]. There are quite a few reasons for this. For example, the concept of minimal length has found applications in quantum ... Lihat dokumen lengkap

... For M = K = L = I , the identity matrix, this statement gives the famous circular law theorem, that was established through a long sequence of partial results [19, 8, 10, 16, 6, 9, 1, 11, 2, 20, 12, 23, 24]. In ... Lihat dokumen lengkap

... Furthermore, by 5.3, gγ≥0, and by[10, Corollary 3.1], gγ∈L1Rwith the Fourier transform the Fourier inversion formula applies to 5.7, and 5.4 thus yields, for y>−γs2, fMey =exp 43γ2s3+2γ[r] ... Lihat dokumen lengkap

... When the initial configuration is drawn fromµλ, we definePµλ to be the measure governing this initial configuration and the Poisson clocks, hence determining the forest-fire process.. R[r] ... Lihat dokumen lengkap