English

Shifted Convolution $L$-Series Values for Elliptic Curves

Number Theory 2019-05-15 v2

Abstract

Using explicit constructions of the Weierstrass mock modular form, we offer a closed formula for generating the values of shifted convolution LL-values for certain elliptic curves that can be computed to arbitrary precision. These identities provide a surprising relation between weight 22 newforms and shifted convolution LL-values.

Keywords

Cite

@article{arxiv.1608.05462,
  title  = {Shifted Convolution $L$-Series Values for Elliptic Curves},
  author = {Asra Ali and Nitya Mani},
  journal= {arXiv preprint arXiv:1608.05462},
  year   = {2019}
}

Comments

Journal version

R2 v1 2026-06-22T15:23:54.316Z