排序方式: 共有31条查询结果,搜索用时 15 毫秒
1.
Chandrashekhar Khare 《Compositio Mathematica》1998,112(3):365-378
Given an irreducible, modular, mod p representation p, we analyse the local components at p of newforms f which give rise to it. 相似文献
2.
Tom Weston 《Journal of Number Theory》2005,110(1):199-218
Let f be a newform of weight k?3 with Fourier coefficients in a number field K. We give explicit bounds on the set of primes λ of K for which the deformation problem associated to the mod λ Galois representation of f is obstructed. We include some explicit examples. 相似文献
3.
Liuquan Wang 《Discrete Mathematics》2018,341(12):3370-3384
Let be the number of -colored generalized Frobenius partitions of . We establish some infinite families of congruences for and modulo arbitrary powers of 3, which refine the results of Kolitsch. For example, for and , we prove that We give two different proofs to the congruences satisfied by . One of the proofs uses a relation between and due to Kolitsch, for which we provide a new proof in this paper. 相似文献
4.
5.
For any integersa
1,a
2,a
3,a
4 andc witha
1
a
2
a
3
a
4≢0(modp), this paper shows that there exists a solutionX=(x
1,x
2,x
3,x
4) ∈Z
4 of the congruencea
1
x
1
2
+a
2
x
2
2
+a
3
x
3
2
+a
4
x
4
2
≡c(modp) such that
Research of Zheng Zhiyong is supported by NNSF Grant of China. He would also like to thank the first author and the Mathematics
Department of Kansas, State University for their hospitality and support. 相似文献
6.
The existence is proved of two new families of sextic threefolds in , which are not quadratically normal. These threefolds arise naturally in the realm of first order congruences of lines as
focal loci and in the study of the completely exceptional Monge–Ampère equations. One of these families comes from a smooth
congruence of multidegree (1, 3, 3) which is a smooth Fano fourfold of index two and genus 9.
相似文献
7.
Kathrin Bringmann Ben Kane 《Journal of Combinatorial Theory, Series A》2012,119(2):483-501
In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduced by Andrews. A certain strict inequality, which almost always holds, shows that identities for Dyson?s rank, similar to those proven by Atkin and Swinnerton-Dyer, are quite rare. By showing an analogous strict inequality, we show that such non-trivial identities are also rare for the full rank, but on the other hand we obtain an infinite family of non-trivial identities, in contrast with the partition theoretic case. 相似文献
8.
Boping Jin 《Journal of Number Theory》2005,110(1):120-135
A subgroup cover of the integer lattice in two or more dimensions is a presentation of that lattice as a finite union of proper subgroups, no two of the same index. In an earlier paper, Cochrane and Myerson constructed subgroup covers in two dimensions and asked several questions about other methods of construction and about higher dimensions. We answer those questions. 相似文献
9.
《代数通讯》2013,41(4):1927-1947
Abstract In this article we classify all the smooth threefolds in ?5 with an apparent quadruple point provided that the family of its 4-secant lines is an irreducible (first order) congruence. This is sufficient to conclude the classification of all the smooth codimension two varieties in ? n with one apparent (n ? 1)-point and with irreducible family of (n ? 1)-secant lines. 相似文献
10.
In this paper we give conditions on an implication algebra A so that two congruences θ
1, θ
2 on A permute, i.e. θ
1 ∘ θ
2 = θ
2 ∘ θ
1. We also provide simpler conditions for permutability in finite implication algebras. Finally we present some applications
of these characterizations.
The support of Universidad Nacional del Sur and CONICET is gratefully acknowledged. 相似文献