搜索结果: 1-12 共查到“数学 q-analogues”相关记录12条 . 查询时间(0.062 秒)
New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series
Congruence finite central binomial sum multiple harmonic sum Bernoulli number
2012/6/15
In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1\}^a,c,\{1\}^b),$ $(\{2\}^a,c,\{2\}^b)$ and prove a number of congru...
Agoh's conjecture: its proof, its generalizations, its analogues
Agoh's conjecture its generalizations its analogues Number Theory
2011/9/9
Abstract: In this paper we formulate some generalizations of Agoh's conjecture. We provide a proof of one of them. We also formulate conjectures involving congruence modulo primes about hyperbolic sec...
On pro-$p$ analogues of limit groups via extensions of centralizers
Group Theory extensions of centralizers limit groups pro-$p$ analogues
2011/9/5
Abstract: We begin a study of a pro-$p$ analogue of limit groups via extensions of centralizers and call $\mathcal{L}$ this new class of pro-$p$ groups. We show that the pro-$p$ groups of $\mathcal{L}...
Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration
Quantum grassmannians quantum Richardson varieties quantum toric varieties straightening laws standard monomials
2011/8/29
Abstract: In the present paper, we are interested in natural quantum analogues of Richardson varieties in the type A grassmannians. To be more precise, the objects that we investigate are quantum anal...
Matrices with restricted entries and q-analogues of permutations
Matrices q-analogues of permutations
2010/11/23
We study the functions that count matrices of given rank over a finite field with specified positions equal to zero. We show that these matrices are $q$-analogues of permutations with certain restrict...
On functional relations for the alternating analogues of Tornheim's double zeta function
Tornheim's double zeta function
2010/11/18
We give two functional relations for the alternating analogues of Tornheim's double zeta function. Using the functional relations, we give new proofs of some evaluation formulas found by H. Tsumura fo...
Dynamics of poles with position-dependent strengths and its optical analogues
Vortex dynamics complex variable strengths Snell’s law geometric optics hybrid systems
2010/12/3
Dynamics of point vortices is generalized in two ways: first by making the strengths complex, which allows for sources and sinks in superposition with the usual vortices, second by making them functio...
Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field
Magnetic Field Control Quantum Chaotic Dynamics Hydrogen Analogues
2010/4/2
We report magnetic field control of the quantum chaotic dynamics of hydrogen analogues in an anisotropic solid state environment. The chaoticity of the system dynamics was quantified by means of energ...
ON ANALOGUES OF THE HILBERT’S INEQUALITY
Hilbert’s integral inequality Weight function Weight coefficient Best constant factor
2008/11/26
ON ANALOGUES OF THE HILBERT’S INEQUALITY。
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues
Laguerre polynomials Zeros q-Laguerre polynomials Inequalities
2008/7/1
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues.
On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean
Arithmetic-geometric mean Hypergeometric function Power mean.
2008/6/27
In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp ...
On Some Fundamental Integral Inequalities and their Discrete Analogues
Integral inequalities discrete analogues two independent variables partial differential and difference equations nondecreasing nonincreasing terminal value non-self-adjoint hyperbolic partial differential equation
2008/6/27
The aim of the present paper is to establish some new integral inequalities on two independent variables and their discrete analogues which provide explicit bounds on unknown functions. The inequaliti...