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Shintani's invariant via cyclic quantum dilogarithm
Bora Yalkinoglu
We formulate Shintani's invariant in terms of the cyclic quantum dilogarithm. Building on earlier results that expressed Shintani's invariant using the -Pochhammer symbol, we sh…
Bost-Connes systems and periodic Witt vectors
Bora Yalkinoglu
In this note, using Borger's theory of periodic Witt vectors, we construct integral refinements of the arithmetic subalgebras associated with Bost-Connes systems for general number…
A note on Shintani's invariants
Bora Yalkinoglu
Shintani's celebrated invariants are conjectured to generate abelian extensions of real quadratic number fields, offering a potential solution to Hilbert's 12th problem in that set…
On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev
Bora Yalkinoglu
This paper has two parts. In the first part we construct arithmetic models of Bost-Connes systems for arbitrary number fields, which has been an open problem since the seminal work…