Ramanujan's convolution sum twisted by Dirichlet characters

• Main Authors: Aygin, Zafer Selcuk, Hong, Nankun
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2021
• 主題: Science::Mathematics; Dedekind Eta Function; Eisenstein Series
• 在線閱讀: https://hdl.handle.net/10356/151108
• 機構: Nanyang Technological University

We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character (−4/∗), which are analogous to Ramanujan's formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.