Abstract
In this paper, we study higher reciprocity law of irreducible polynomials f(x) over Q of degree 3, especially, its close connection with elliptic curves rational over Q and cusp forms of weight 1. These topics were already studied separately in a special example by Chowla-Cowles [1] and Hiramatsu [2]. Here we bring these objects into unity.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. On the coefficients cn
in the expansion;Chowla;J. reine angew. Math,1977
2. Higher reciprocity law and modular forms of weight one;Hiramatsu;Comm. Math. Univ. St. Paul,1982
3. The higher reciprocity laws: An example
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