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We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
For k ≥ 2 and k ≥ i ≥ 1, let Bk,i(n) denote the number of partitions of n such that part 1 appears at most i-1 times, two consecutive integers l and l+1 appear at most k-1 times and if l and l+1 appea...
Abstract: B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its transformat...
Abstract: In 1956 Ryser gave a necessary and sufficient condition for a partial latin rectangle to be completable to a latin square. In 1990 Hilton and Johnson showed that Ryser's condition could be r...
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
We introduce the groupoidal analogue e to Joyal’s cellular category  and we prove that e is a strict test category in the sense of Grothendieck.
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
A unicellular map is the embedding of a connected graph in a surface in such a way that the complement of the graph is simply connected. In a famous article, Harer and Zagier established a formula fo...
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
Let G be a group, R an integral domain, and VG the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero.
A “ham sandwich” theorem is established for n quater-nionic Borel measures on quaternionic space Hn. For each finite sub-group G of S3.
We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let 􀀀1 and 􀀀2 be uniform lattices in a semisim-ple group G. Suppose all but finitely many i...
Recently, T. Kim([5]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips q-Bernstein polynomials([11, 12]). The purpose of this paper is to study some propertie...
In this article we shall survey the various methods of evaluating Hankel determinants and as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers. Here we consider...
The main object of this paper is to investigate some relations between the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials. We first establish some relations bet...

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