article13_6. 309KB Jun 04 2011 12:06:56 AM
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Finally using class field theory and [2], we determine the ramification groups of G p ( K ) (we distinguish the case when K is unramified from the case when K is totally ramified,
It is a very well known result in the theory of distribution modulo 1 that for every irrational ξ the sequence { nξ : n ∈ N } is dense modulo 1 (and even uniformly distributed modulo
D’apr`es [B¨ oM´e], elles sont reli´ees `a des conjecture arithm´etiques classiques (Conjecture de Vandiver, conjecture de Greenberg).. Dans cet article, nous introduisons un
GiANT allows the user to work with the invariants of the number fields and with polynomials, ideals, and elements.. It also supports a vari- ety of operations between
Konjagin , Estimates for the number of sums and products and for expo- nential sums over subgrups in finite fields of prime order.. Tao , A sum-product estimate in finite fields,
(1) There seems to be a general principle that if an existence result about polynomials or n -tuples of polynomials over an infinite field can be proved by dimension counting, then
point is that if two of the numbers of the form (2.18) coincide modulo p, then, after cancelling the factor of 2 − k , we get two residue classes of.. integers which coincide
It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has
