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We can obtain a deformation of functions by the convergent star product where the deformation parameter varies in some domain of \(\mathbb C\) . The deformed functions are called star functions. In this note, we consider a star product of functions of one variable for simplicity, and then the product becomes commutative. We discuss a deformation of the zeta function of Riemann, which we call the star zeta function.

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Star Product and Star Zeta Function

  • 会议论文

  • 发表日期：

    2025年

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  • Akira Yoshioka

摘要

We can obtain a deformation of functions by the convergent star product where the deformation parameter varies in some domain of \(\mathbb C\) . The deformed functions are called star functions. In this note, we consider a star product of functions of one variable for simplicity, and then the product becomes commutative. We discuss a deformation of the zeta function of Riemann, which we call the star zeta function.