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Article Dans Une Revue International Journal of Number Theory Année : 2007

Evaluating convolution sums of the divisor function by quasimodular forms

Résumé

We provide a systematic method to compute arithmetic sums including some previously computed by Alaca, Alaca, Besge, Cheng, Glaisher, Huard, Lahiri, Lemire, Melfi, Ou, Ramanujan, Spearman and Williams. Our method is based on quasimodular forms. This extension of modular forms has been constructed by Kaneko and Zagier.
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Dates et versions

hal-00012320 , version 1 (20-10-2005)
hal-00012320 , version 2 (11-04-2006)

Identifiants

Citer

Emmanuel Royer. Evaluating convolution sums of the divisor function by quasimodular forms. International Journal of Number Theory, 2007, 3 (2), pp.Page: 231 - 261. ⟨10.1142/S1793042107000924⟩. ⟨hal-00012320v2⟩
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