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Period Relations for Theta Products and Elliptic Integral Moments

Dianbin Bao

Source record

Source: arXiv

Published: Aug 27, 2026

arXiv: 2608.26514

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Source abstract

We develop a period-polynomial approach to relations among critical L-values of modular forms arising from theta products and elliptic integral moments. In particular, period relations provide a conceptual explanation for several known rational relations among moments of complete elliptic integrals that had previously been discovered through analytic or experimental methods.

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