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# On Gunning's Prime Form in Genus $2$

Published:2002-03-01
Printed: Mar 2002
• David Grant
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## Abstract

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.
 MSC Classifications: 14K25 - Theta functions [See also 14H42] 30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]

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