Abstract

Abstract We give an exposition of the computational aspects of Shimura’s explicit reciprocity law. First we discuss the classical formulation as in Shimura [4), Thm 6.31, and Lang [2], 11 §1 Thm 1. Then we consider Robert’s formulation in the case that we have rational Fourier coefficients. Finally, we interpret Robert’s formulation in terms of matrices and give an example.

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