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Summation and transformation formulas for elliptic hypergeometric series
Summation transformation formulas elliptic hypergeometric series
2010/10/29
Using matrix inversion and determinant evaluation techniques we prove several summation and transformation formulas for terminating, balanced, very-well-poised, elliptic hypergeometric series.
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...