用θ函数逼近tau函数

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2018-07-09 DOI:10.4310/CNTP.2019.V13.N1.A7

B. Dubrovin

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引用次数: 1

摘要

我们证明了在分次形式级数拓扑中，KdV层次的任意τ函数的对数可以通过有限亏格的超椭圆θ函数的对数展开来近似，最多可达二次项。作为一个例子，我们考虑Witten-Kontsevich-tau函数的θ函数近似。

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Approximating tau-functions by theta-functions

We prove that the logarithm of an arbitrary tau-function of the KdV hierarchy can be approximated, in the topology of graded formal series by the logarithmic expansions of hyperelliptic theta-functions of finite genus, up to at most quadratic terms. As an example we consider theta-functional approximations of the Witten--Kontsevich tau-function.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.