Riemann operators on higher $K$-groups

Nobushige Kurokawa; Hidekazu Tanaka

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arXiv · 2209.12837

Riemann operators on higher $K$-groups

Nobushige Kurokawa·Hidekazu Tanaka

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Abstract

We introduce Riemann operators acting on Quillen's higher $K$--groups $K_{n}(A)$ for the integer ring $A$ of an algebraic number field $K$. Especially we prove that gamma factors of Dedekind zeta function of $K$ are obtained as regularized determinants of Riemann operators.

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Nobushige Kurokawa, Hidekazu Tanaka. 2022-09-19. Riemann operators on higher $K$-groups. https://arxiv.org/abs/2209.12837

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