L-values for conductor 32

  title={L-values for conductor 32},
  author={Boaz Moerman},
  journal={Journal of Number Theory},
  • Boaz Moerman
  • Published 15 August 2020
  • Mathematics
  • Journal of Number Theory
In recent years, Rogers and Zudilin developed a method to write $L$-values attached to elliptic curves as periods. In order to apply this method to a broader collection of $L$-values, we study Eisenstein series and determine their Fourier series at cusps. Subsequently, we write the $L$-values of an elliptic curve of conductor 32 as an integral of Eisenstein series and evaluate the value at $k>1$ explicitly as a period. As a side result, we give simple integral expressions for the generating… Expand


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