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排序方式: 共有98条查询结果,搜索用时 203 毫秒
1.
2.
借助半群的Malcev积和公理化条件,对超富足半群及其子类进行了刻画,给出了超富足半群及其子类的若干特征. 相似文献
3.
Kathleen Hoornaert 《Transactions of the American Mathematical Society》2004,356(5):1751-1779
In this paper we examine when the order of a pole of Igusa's local zeta function associated to a polynomial is smaller than ``expected'. We carry out this study in the case that is sufficiently non-degenerate with respect to its Newton polyhedron , and the main result of this paper is a proof of one of the conjectures of Denef and Sargos. Our technique consists in reducing our question about the polynomial to the same question about polynomials , where are faces of depending on the examined pole and is obtained from by throwing away all monomials of whose exponents do not belong to . Secondly, we obtain a formula for Igusa's local zeta function associated to a polynomial , with unstable, which shows that, in this case, the upperbound for the order of the examined pole is obviously smaller than ``expected'.
4.
Ramanujan's partition congruences can be proved by first showing that the coefficients in the expansions of (q; q)
r
satisfy certain divisibility properties when r = 4, 6 and 10. We show that much more is true. For these and other values of r, the coefficients in the expansions of (q; q)
r
satisfy arithmetic relations, and these arithmetic relations imply the divisibility properties referred to above. We also obtain arithmetic relations for the coefficients in the expansions of (q; q)
r
(q
t; q
t)
s
, for t = 2, 3, 4 and various values of r and s. Our proofs are explicit and elementary, and make use of the Macdonald identities of ranks 1 and 2 (which include the Jacobi triple product, quintuple product and Winquist's identities). The paper concludes with a list of conjectures. 相似文献
5.
Claudia A. Sanza 《Central European Journal of Mathematics》2008,6(3):372-383
n×m-valued Łukasiewicz algebras with negation were introduced and investigated in [20, 22, 23]. These algebras constitute a
non trivial generalization of n-valued Łukasiewicz-Moisil algebras and in what follows, we shall call them n×m-valued Łukasiewicz-Moisil algebras (or LM
n×m
-algebras). In this paper, the study of this new class of algebras is continued. More precisely, a topological duality for
these algebras is described and a characterization of LM
n×m
-congruences in terms of special subsets of the associated space is shown. Besides, it is determined which of these subsets
correspond to principal congruences. In addition, it is proved that the variety of LM
n×m
-algebras is a discriminator variety and as a consequence, certain properties of the congruences are obtained. Finally, the
number of congruences of a finite LM
n×m
-algebra is computed.
相似文献
6.
Guo Dong LIU Wen Peng ZHANG 《数学学报(英文版)》2008,24(2):343-352
The authors establish an explicit formula for the generalized Euler NumbersE2n^(x), and obtain some identities and congruences involving the higher'order Euler numbers, Stirling numbers, the central factorial numbers and the values of the Riemann zeta-function. 相似文献
7.
Let a and b be fixed positive integers.In this paper,using some elementary methods,we study the diophantine equation(a~m-1)(b~n-1)= x~2.For example,we prove that if a ≡ 2(mod 6),b ≡ 3(mod 12),then(a~n-1)(b~m-1)= x~2 has no solutions in positive integers n,m and x. 相似文献
8.
Liu Quan Wang 《数学学报(英文版)》2017,33(1):37-50
Let p_3(n) be the number of overpartition triples of n. By elementary series manipulations,we establish some congruences for p_3(n) modulo small powers of 2, such as p_3(16 n + 14) ≡ 0(mod 32), p_3(8 n + 7) ≡ 0(mod 64).We also find many arithmetic properties for p_3(n) modulo 7, 9 and 11, involving the following infinite families of Ramanujan-type congruences: for any integers α≥ 1 and n ≥ 0, we have p_3 (3~(2α+1)(3n + 2))≡ 0(mod 9 · 2~4), p_3(4~(α-1)(56 n + 49)) ≡ 0(mod 7),p_3 (7~(2α+1)(7 n + 3))≡ p_3 (7~(2α+1)(7 n + 5))≡ p_3 (7~(2α+1)(7 n + 6))≡ 0(mod 7),and for r ∈ {1, 2, 3, 4, 5, 6},p_3(11 · 7~(4α-1)(7 n + r)≡ 0(mod 11). 相似文献
9.
Alexandre Junod 《Expositiones Mathematicae》2005,23(1):71-79
The nth Bell number Bn is the number of ways to partition a set of n elements into nonempty subsets. We generalize the “trace formula” of Barsky and Benzaghou [1], which asserts that for an odd prime p and an appropriate constant τp, the relation Bn=-Tr(n-1-τp)Bτp holds in , where is a root of and is the trace form. We deduce some new interesting congruences for the Bell numbers, generalizing miscellaneous well-known results including those of Radoux [4]. 相似文献
10.
In this paper, by basing on the special morphism of Habil, we introduce and study a class of congruences in partial Abelian
semigroups and obtain some interesting properties.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献