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math.NT2025
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…
math.NT2025
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…