منابع مشابه
Product partitions and recursion formulae
Utilizing a method briefly hinted in the author’s paper written in 1991 jointly with V. C. Harris, we derive here a number of unpublished recursion formulae for a variety of product partition functions which we believe have not been considered before in the literature. These include the functionsp∗(n;k,h) (which stands for the number of product partitions ofn> 1 into k parts of which h are dist...
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X iv :0 80 6. 12 73 v1 [ m at h. N T ] 7 J un 2 00 8 MATRICIAL FORMULAE FOR PARTITIONS F. AICARDI Abstract. The exponential of the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to the sum of the inverse of the divisors of n is the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to t...
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indicates the term corresponding to j = h is to be deleted. If one of the a, = 0 or a negative integer, then (1) always converges, since it terminates. Otherwise it converges for all finite x if P ^ Q and for |a;| < 1 if P = Q + 1. In this case, however, the function can be analytically continued into the cut plane |arg (1 — a;)| < x, and we shall often denote by q+iFq(x) not only the series (1...
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Abstract. In this paper we study effective recursion formulae for computing intersection numbers of mixed ψ and κ classes on moduli spaces of curves. By using the celebrated WittenKontsevich theorem, we generalize Mulase-Safnuk form of Mirzakhani’s recursion and prove a recursion formula of higher Weil-Petersson volumes. We also present recursion formulae to compute intersection pairings in the...
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Gibbs–type random probability measures and the exchangeable random partitions they induce represent an important framework both from a theoretical and applied point of view. In the present paper, motivated by species sampling problems, we investigate some properties concerning the conditional distribution of the number of blocks with a certain frequency generated by Gibbs–type random partitions...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2004
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171204307258