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arXiv · 2504.00164

K-theory of Minkowski question-mark function

Igor V. Nikolaev
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Abstract

It is proved that the Minkowski question-mark function comes from the K-theory of Cuntz-Pimsner algebras. We apply this result to calculate the action of Frobenius endomorphism at the infinite prime. Such a problem was raised by Serre and Deninger in the theory of local factors of zeta functions of projective varieties.

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Igor V. Nikolaev. 2025-03-31. K-theory of Minkowski question-mark function. https://arxiv.org/abs/2504.00164

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