Igor V. Nikolaev

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20232026

most citedNon-abelian class field theory and higher dimensional noncommutative tori

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2023

Artin $L$ -functions and noncommutative tori

Igor V. Nikolaev

Using the ideas of Deninger, we prove that the Artin $L$ -functions coincide with such of the noncommutative tori. This result can be viewed as the Langlands reciprocity for noncomm…

math.NT2023★ 1 cited

Non-abelian class field theory and higher dimensional noncommutative tori

Igor V. Nikolaev

We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit genera…

Artin L-functions and noncommutative tori

Non-abelian class field theory and higher dimensional noncommutative tori

Artin $L$ -functions and noncommutative tori