Shifted Convolution L-Series Values for Elliptic Curves
classification
🧮 math.NT
keywords
valuesconvolutionshiftedcurvesellipticarbitrarycertainclosed
read the original 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.
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