Generalizations of Hutchinson's curve and the Thomae formulae

Hershel M. Farkas

doi:10.1007/978-1-4614-0028-8_7

Generalizations of Hutchinson's curve and the Thomae formulae

Hershel M. Farkas

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this note we derive Thomae formulae for the family of zn curves defined by w ⁿ = (z-λ ₀)(z-λ ₁)(z-λ) ^n-1. These may be viewed as either giving rise to a generalization of the classical λ -function of elliptic function theory or a special class of singular z _n curves.

Original language	English
Title of host publication	PARTITIONS, Q-SERIES, AND MODULAR FORMS
Editors	KRISHNASWAMI ALLADI, FRANK GARVAN
Pages	69-81
Number of pages	13
DOIs	https://doi.org/10.1007/978-1-4614-0028-8_7
State	Published - 2012

Publication series

Name	Developments in Mathematics
Volume	23
ISSN (Print)	1389-2177

Keywords

Abel-jacobi map
Compact riemann surface
Nonspecial integral diviso
Theta functions
Z Curve
λ-function

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10.1007/978-1-4614-0028-8_7

Cite this

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Generalizations of Hutchinson's curve and the Thomae formulae

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