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<p>In this paper, we define the <i>k</i>-dimensional generalized Euler function and give a generalization of Tóth identity to the ring of algebraic integers of an algebraic number field involving arithmetical functions and Dirichlet characters, which can also be seen as a multidimensional version of the results by Wang and Ji (2020) and Chattopadhyay and Sarkar (2022).</p>

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A generalization of Tóth identity in the ring of algebraic integers involving a Dirichlet character

  • 期刊论文

  • 发表日期：

    2025年12月30日

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  • Subha Sarkar

摘要

In this paper, we define the k-dimensional generalized Euler function and give a generalization of Tóth identity to the ring of algebraic integers of an algebraic number field involving arithmetical functions and Dirichlet characters, which can also be seen as a multidimensional version of the results by Wang and Ji (2020) and Chattopadhyay and Sarkar (2022).