Petersson norms of Eisenstein series and Kohnen–Zagier’s formula
Yoshinori Mizuno1
1 Graduate School of Technology, Industrial and Social Sciences Tokushima University 2-1, Minami-josanjima-cho Tokushima, 770-8506, Japan
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.

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DOI : 10.5802/jtnb.1138
Classification : 11F37, 11F11
Mots clés : Petersson norms, Eisenstein series, Kohnen–Zagier’s formula
Yoshinori Mizuno 1

1 Graduate School of Technology, Industrial and Social Sciences Tokushima University 2-1, Minami-josanjima-cho Tokushima, 770-8506, Japan
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Yoshinori Mizuno. Petersson norms of Eisenstein series and Kohnen–Zagier’s formula. Journal de théorie des nombres de Bordeaux, Tome 32 (2020) no. 3, pp. 665-684. doi : 10.5802/jtnb.1138. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1138/

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