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19952025
most citedThe JOREK non-linear extended MHD code and applications to large-scale instabilities and their control in magnetically confined fusion plasmas

213 citations

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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…

math.NT2025

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…

math.NT2025

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…

math.NT2025

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…

math.NT2024

Effective approximation to complex algebraic numbers by quadratic numbers

Prajeet Bajpai, Yann Bugeaud

We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.