Petersson norms of Eisenstein series and Kohnen–Zagier’s formula

Mizuno, Yoshinori

Journal de théorie des nombres de Bordeaux, Tome 32 (2020) no. 3, pp. 665-684.

Les normes de Petersson régularisées des séries d’Eisenstein de poids entier et demi-entier sont calculées. Nous utilisons ces résultats pour établir la formule de Kohnen–Zagier pour les séries d’Eisenstein.

The regularized Petersson norms of Eisenstein series of integral and half-integral weight are computed. We use these results to establish Kohnen–Zagier’s formula for Eisenstein series.

Classification : 11F37, 11F11
Mots clés : Petersson norms, Eisenstein series, Kohnen–Zagier’s formula

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