On Gunning's Prime Form in Genus $2$
Printed: Mar 2002
Using a classical generalization of Jacobi's derivative formula, we
give an explicit expression for Gunning's prime form in genus 2 in
terms of theta functions and their derivatives.
14K25 - Theta functions [See also 14H42]
30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]