article13_5. 126KB Jun 04 2011 12:06:56 AM
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Notice that by Theorem 2.1 all prime factors of Fermat numbers are anti-elites with L = 1, such that the Table contains all possible prime factors p of Fermat numbers that fulfill
We restrict our search to all primitive number fields (see section 3) generated by an irreducible degree nine monic polynomial and which are ramified at only one prime less than 11..
This follows by (5.3.ii) from what we have just said.. In the last column, we list the upper.. vanishing modulo a prime) of sums of roots of unity has been studied extensively...
In this paper, we use Baker’s method, based on linear forms of logarithms, to solve a family of Thue equations associated with a family of number fields of degree 3.. The name is
Finite differences, Polynomial space, Polynomial basis, Change of basis, Sum of powers of integers, Infinite lower triangular matrix.. AMS
In this paper, we will establish the above conjecture (Theorem 2.3) and also characterize all sign patterns that require eventual nonnegativity (Theorem 2.6) in terms of
We prove a weak version of the law of large numbers for multi-dimensional finite range ran- dom walks in certain mixing elliptic random environments.. This already improves
Key words: infinite divisibility, Lévy measure, O -subexponentiality, dominated variation, expo- nential class.. AMS 2000 Subject Classification: Primary 60E07;