A proof of a conjecture for the number of ramified coverings of the sphere by the torus

被引：23

作者：

Goulden, IP ^{[1
]}

Jackson, DM ^{[1
]}

机构：

[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1999年 / 88卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jcta.1999.2992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramification type over infinity. This proves a conjecture of Goulden, Jackson, and Vainshtein fur the explicit nulnber of such coverings. (C) 1999 Academic Press.

引用

页码：246 / 258

页数：13

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