Two-variable p-adic L-functions of modular forms for non-ordinary primes

TextFor a prime p   which is non-ordinary for a given eigenform f(z)f(z), we construct a non-integral two-variable p-adic L  -function that interpolates the Rankin convolutions of an eigenform f(z)f(z) and the theta series of Hecke characters of an imaginary quadratic field K. Our work is a non-ordinary analogue of Hida's two-variable p-adic L-functions for ordinary primes p.VideoFor a video summary of this paper, please visit http://youtu.be/Zt7Pu7SJI-w.