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The spt-Crank for Ordinary Partitions
spt-function spt-crank congruence marked partition doubly marked partition
2014/6/3
The spt-function spt(n) was introduced by Andrews as the weighted counting of partitions of n with respect to the number of occurrences of the smallest part. Andrews, Garvan and Liang defined the spt-...
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations
Adomian Decomposition Method Initial Value Problem Modified Adomian Decomposition Method
2013/1/30
In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are appl...
Fast Computation of Common Left Multiples of Linear Ordinary Differential Operators
Algorithms complexity linear differential operators common left multiples
2013/9/3
We study tight bounds and fast algorithms for LCLMs of several linear differential operators with polynomial coefficients. We analyse the arithmetic complexity of existing algorithms for LCLMs, as wel...
Semi-ordinary p-stabilization of the Siegel Eisenstein series of arbitrary genus
Siegel modular forms Eisenstein series p-adic analytic family
2012/7/11
For a given odd prime p, we define a certain p-stabilization of the Siegel Eisenstein series of arbitrary genus so that the resulting eigenvalue of a generalized Atkin operator at p is a p-adic unit (...
A characterization of ordinary modular eigenforms with CM
modular forms with complex multiplication Galois represenations Number Theory
2012/6/12
We show that a $p$-ordinary modular eigenform $f$ of weight $k\geq 2$, with $p$-adic Galois representation $\rho_f$ and $\mod{p^m}$ reductions $\rho_{f,m}$, and with complex multiplication(CM) is char...
An ordinary cyclotomic function field
ordinary cyclotomic function field investigate $p$-rank
2012/3/1
In this paper, we investigate the $p$-rank of Jacobian of cyclotomic function field $K_m$. Our goal in this paper is to give the necessary and sufficient condition $m$ such that $K_m$ is ordinary.
On the Gerber-Shiu discounted penalty function for the ordinary renewal risk model with constant interest
Surplus immediately prior to ruin Deficit at ruin
2011/11/7
In this paper, we study the Gerber-Shiu discounted penalty function for the ordinary renewal risk model modified by the constant interest on the surplus. The time of ruin is analyzed in terms of it$\&...
Semipositone Problems of Second Order Ordinary Differential Equations
Positive solution Semipositone boundary value problem Ordinary differential equation
2011/10/12
The paper is concerned with the semipositone boundary value problems of second-order ordinary differential equations. Applying a fixed point theorem in cones, an existence result of at least one posit...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Abstract: We firstly show that the standard interpretation of natural quantification in mathematical logic does not provide a satisfying account of its original richness. In particular, it ignores the...
Ordinary varieties and the comparison between multiplier ideals and test ideals II
Test ideals multiplier ideals ordinary variety
2011/1/21
We consider the following conjecture: if X is a smooth n-dimensional projective variety over a field k of characteristic zero, then there is a dense set of reductions Xs to positive characteristic suc...
Ordinary varieties and the comparison between multiplier ideals and test ideals
Test ideals multiplier ideals ordinary variety semistable reduction
2011/1/21
We consider the following conjecture: if X is a smooth n-dimensional projective variety over a field k of characteristic zero, then there is a dense set of reductions Xs to positive characteristic suc...
Analytic solutions of parametric type and numerical simulations of a class of nonlinear ordinary differential equations
BVP analytic solutions of parametric type
2010/9/25
In this paper, the mathematical model that describes the radially symmetric deformation of a micro-void centered at a compressible hyperelastic sphere is formulated as a boundary value problem (BVP) o...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
Geometric motivic Poincaré series of quasi-ordinary singularities
Geometric motivic Poincaré series quasi-ordinary singularities
2010/11/19
The geometric motivic Poincar\'e series of a germ $(S,0)$ of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through $(S,0)$. Denef and Loeser pro...