In [Cassels, JWS, Rational quadratic forms, p. 333], the autor says: "In fact the elementary proof of Dirichlet's theorem [Selberg (1949)] makes essential use of the existence of genera". In reviewing that Selberg's paper I can't find where the existence of genera is used. Could anyone help me about that subject?
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$\begingroup$ Perhaps it is used implicitly in the study of (4.2) in the course of proving Lemma 1? $\endgroup$– 2734364041Commented Oct 25, 2022 at 8:53
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