Shifted Convolution $L$-Series Values for Elliptic Curves

Abstract

Using explicit constructions of the Weierstrass mock modular form, we offer a closed formula for generating the values of shifted convolution $L$-values for certain elliptic curves that can be computed to arbitrary precision. These identities provide a surprising relation between weight $2$ newforms and shifted convolution $L$-values.

Journal version

References in corpus (1)

• Mock Theta Functions