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The proof serves to demonstrate two innovations: a strong re- pulsion principle for integer points on curves of positive genus, and a number-theoretical analogue of Sanov’s theorem
It is not, however, a good invariant even in the monogenic case: it is a consequence of results outlined at the Luminy conference that in the (monogenic) equal-characteristic case,
In the general case, a small linear form may be constructed out of sev- eral dominant roots (instead of a single dominant root), but the inequality so obtained turns out to be too
(In a forthcoming paper [2], a further generalization of the conjecture will be given.) We will prove that a weak congruence holds for any cyclic l - extension (Theorem 3.3),
The three main ingredients are a Galois cohomology technique of Ra- makrishna, a level raising result due to Ribet, Diamond, Taylor, and a mod p n version of Mazur’s principle for
In this paper, we give partial results related with Conjecture 1 and give a class of matrices for which it is shown that the conjecture holds.. All the results in the paper are given
The aim of the present paper is to study the asymptotic volume fraction, namely if fixed- sized grains give the highest volume fraction in the case where the weights are independent
Keywords Catalyst, reactant, measure-valued branching, interactive branching, state-dependent branch- ing, two-dimensional process, absolute continuity, self-similarity,
