On some complex explicit formulae connected with the Mobius function. I
نویسندگان
چکیده
منابع مشابه
on some bayesian statistical models in actuarial science with emphasis on claim count
چکیده ندارد.
15 صفحه اولExplicit Formulae for Some Kazhdan-Lusztig R-Polynomials
We consider the Kazhdan-Lusztig polynomials Pu,v(q) indexed by permutations u, v having particular forms with regard to their monotonicity patterns. The main results are the following. First we obtain a simplified recurrence relation satisfied by Pu,v(q) when the maximum value of v ∈ Sn occurs in position n − 2 or n − 1. As a corollary we obtain the explicit expression for Pe,3 4 ... n 1 2(q) (...
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We derive compact formulae for modular transformation matrices of Wess-Zumino-Witten (WZW) affine characters. We start in this text which is conceived as the first of a series with the simple case of A1 algebra at positive level k = n − 2, for which we can easily provide some description of isometry group and genus formula in a special case. We also point to general features of these expression...
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We notice that some recent explicit results about linear recurrent sequences over a ring R with 1 were already obtained by Agou in a 1971 paper by considering the euclidean division of polynomials over R. In this paper we study an application of these results to the case when R = Fq [t] and q is even, completing Agou’s work. Moreover, for even q we prove that there is an infinity of indices i s...
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L(1, χ) > cε qε and all attempts at providing a value to cε for sufficiently small ε have been unsuccessful. On the other hand, a wide class of functions of prime numbers have been successfully explicitly estimated during the last fifty years, starting with the benchmarking paper of Rosser and Schœnfeld [11]. For instance, refining an earlier estimate of Dusart [4], Trudgian [14] proved that, f...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1991
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-57-4-283-293