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MUMFORD-TATE GROUPS, FAMILIES OF CALABI-YAU VARIETIES AND ANALOGUE ANDR¶E-OORT PROBLEMS I
MUMFORD-TATE GROUPS FAMILIES OF CALABI-YAU VARIETIES ANALOGUE ANDR E-OORT PROBLEMS I
2018/4/20
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...
An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan-Gordon Type
the Rogers-Ramanujan-Gordon theorem overpartition Bressoud's theorem
2014/6/3
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...
An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments
Elliptic Analogue Cotangent Dirichlet Series Integer Arguments Number Theory
2011/9/20
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...
An analogue of Ryser's Theorem for partial Sudoku squares
Ryser's Theorem partial Sudoku squares analogue Combinatorics
2011/9/5
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...
C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
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...
The groupoidal analogue Theta~ to Joyal's category Theta is a test category
1-category 1-groupoid cellular category décalage
2011/2/23
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.
Some approximation properties of Lupa\cs $q$-analogue of Bernstein operators
q-Bernstein polynomials Lupa¸ s q-analogue Voronovskaja-type
2011/2/23
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.
An analogue of the Harer-Zagier formula for unicellular maps on general surfaces
the Harer-Zagier formula unicellular maps on general surfaces
2010/11/15
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...
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
2010/11/19
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...
Analogue of the Duistermaat-van der Kallen Theorem for Group Algebras
Duistermaat-van der Kallen Theorem Mathieu subspaces
2010/12/14
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 Analogue for Quaternionic Measures and Finite Subgroups of S^3
Ham Sandwich Analogue Quaternionic Measures Finite Subgroups of S^3
2010/12/14
A “ham sandwich” theorem is established for n quater-nionic Borel measures on quaternionic space Hn. For each finite sub-group G of S3.
On a spectral analogue of the strong multiplicity one theorem
spectral analogue strong multiplicity one theorem
2010/11/29
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...
On p-adic analogue of q-Bernstein polynomials and related integrals
q-Bernstein polynomial Bernoulli numbers and poly-nomials p-adic q-integral
2010/12/8
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...
A q-analogue of Catalan Hankel determinants
Catalan numbers determinants Dyck paths orthogonal polynomials continued fractions
2010/12/3
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...
A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials
Bernoulli polynomials Genocchi polynomials
2010/9/17
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...