搜索结果: 1-10 共查到“数学 Power Series”相关记录10条 . 查询时间(0.058 秒)
Computing power series expansions of modular forms
power series expansions of modular forms Number Theory
2012/5/9
We exhibit a method to numerically compute power series expansions of modular forms on a cocompact Fuchsian group, using the explicit computation a fundamental domain and linear algebra.
Factoring formal power series over principal ideal domains
power series principal ideal domains Commutative Algebra
2011/9/20
Abstract: We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain $R[[X]]$, where $R$ is any principal ideal do...
Exponential power series, Galois module structure and differential modules
Exponential power series Galois module structure Number Theory
2011/8/26
Abstract: We use new over-convergent p-adic exponential power series, inspired by work of Pulita, to build self-dual normal basis generators for the square root of the inverse different of certain abe...
We address the problem of ambiguity of a function determined by an asymptotic perturbation
expansion. Using a modified form of the Watson lemma recently proved elsewhere, we discuss a
large class of...
On Powers of Some Power Series
Powers Power Series
2010/11/9
We show that the compositions of positive integers may be interpreted in terms of powers of some power series, over arbitrary commutative ring. As consequences, several closed formulas for the composi...
On power series analytic in the open unit disk with finite doble-logarithmic order
Analytic in a disk maximum term central index jump points
2010/9/13
By introducing the concept of double-logarithmic order, we deal with intrinsic properties between maximum term and central index for a class of analytic functions with slow growth in the open unit dis...
A GENERALIZED CHAIN RULE FOR FORMAL POWER SERIES
Formal power series composition chain rule right distributive law
2008/11/25
Given a formal power series g(x) = P1n=0 bn xn and a nonunit f(x) = P1 n=1 an xn,
it is well-known that the derivative of the composition of formal power series satisfies the
Chain Rule, that is, (g...
Triangular Matrix Representations of Rings of Generalized Power Series
Generalized triangular matrix representation Twisted generalized power series ring PWP ring Triangulating dimension
2007/12/12
Let $R$ be a ring and $S$ a cancellative and torsion-free monoid and $\leq$ a strict order on $S$. If either $(S, \leq)$ satisfies the condition that $0\leq s$ for all $s\in S$, or $R$ is reduced, the...
Rickart-type Annihilator Conditions on Formal Power Series
Annihilator conditions Nearrings Skew power series Baer rings a-rigid rings Rickart rings
2010/2/25
Let R be an a-rigid ring and R0[[x;a]] be the nearring of a formal skew power series in which addition and substitution are used as operations. It is shown that R is Rickart and any countable family o...
Two Lemmas on Formal Power Series
Formal power series Local fields Formal groups Lubin-Tate theory Coleman power series
2010/3/3
Let L be a local field and \tilde{L} the completion of the maximal unramified extension of L. In this short note, we prove \noindent (I) the sequences \noindent (1\prime\prime) 0\rightarrow {\cal O}L...