Affiliation:
1. Laboratoire de Mathématiques, Université Blaise Pascal, Campus Universitaire des Cézeaux, F-63177 Aubière cedex, France
Abstract
We provide a systematic method to compute arithmetic sums including some previously computed by 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
43 articles.
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2. Evaluation of the convolution sum $$\displaystyle \varvec{\sum _{al+bm=n} \sigma (l)\sigma _ 3 (m) }$$ for $$\varvec{(a,b) = (1,7), (7,1), (1,8), (8,1), (1,9), (9,1)}$$ and representations by certain quadratic forms in twelve variables;Indian Journal of Pure and Applied Mathematics;2023-07-12
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