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L-functions of noncommutative tori

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Abstract

We introduce an analog of the L-function for noncommutative tori. It is proved that such a function coincides with the Hasse–Weil L-function of an elliptic curve with complex multiplication. As a corollary, one gets a localization formula for the noncommutative tori with real multiplication.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, St. John’s University, 8000 Utopia Parkway, New York, NY, 11439, USA

    Igor V. Nikolaev

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  1. Igor V. Nikolaev
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Correspondence to Igor V. Nikolaev.

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Communicated by M. S. Moslehian.

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Nikolaev, I.V. L-functions of noncommutative tori. Adv. Oper. Theory 8, 53 (2023). https://doi.org/10.1007/s43036-023-00282-w

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  • DOI: https://doi.org/10.1007/s43036-023-00282-w

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