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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.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.

math.NT2024

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…