213 citations
- Centre National de la Recherche ScientifiqueFR334 papers
- Université de StrasbourgFR309 papers
- Institute of Rural Management AnandIN147 papers
- Institut national de recherche en sciences et technologies du numériqueFR23 papers
- Université de LorraineFR23 papers
- University of SannioIT21 papers
- Laboratoire de Mathématiques d'OrsayFR19 papers
- Institut Camille JordanFR18 papers
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- Institut de Mathématiques de ToulouseFR15 papers
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5 papers · 2 filters
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 Dirichlet-like series attached to polynomials
Frédéric Chapoton
Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Diric…
Hankel continued fractions and Hankel determinants for -deformed metallic numbers
Guo-Niu Han, Emmanuel Pedon
Fix a positive integer. Take the -th metallic number (e.g. is the golden number) and let be its -deformation in the sense of…
Geometrically simple counterexamples to a local-global principle for quadratic twists
Emiliano Ambrosi, Nirvana Coppola, Francesc Fité
Two abelian varieties and over a number field are said to be strongly locally quadratic twists if they are quadratic twists at every completion of . While it was kno…