THETA CONSTANTS, MODULI, AND COMPACT RIEMANN SURFACES

AUTOR(ES)

Farkas, H. M.

RESUMO

One of the classical tools for the study of moduli of compact Riemann surfaces is the Riemann theta function. Preliminary results were announced earlier1 which established relations between two kinds of theta constants on a compact Riemann surface of genus 2. In this note we generalize the results there obtained. The main theorem is as follows:

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