Kavli Affiliate: Taizan Watari | First 5 Authors: Satoshi Kondo, Taizan Watari, , , | Summary: For an elliptic curve E over an abelian extension k/K with CM by K of Shimura type, the L-functions of its [k:K] Galois representations are Mellin transforms of Hecke theta functions; a modular parametrization (surjective map) from a modular […]

Continue.. Modular Parametrization as Polyakov Path Integral: Cases with CM Elliptic Curves as Target Spaces