Large algebraic integers
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Publication:6050862
DOI10.1142/s1793042123501075arXiv2206.15278MaRDI QIDQ6050862
Publication date: 19 September 2023
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.15278
Units and factorization (11R27) Algebraic number theory computations (11Y40) Heights (11G50) Lattice packing and covering (number-theoretic aspects) (11H31) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)
Cites Work
- An inequality relating the regulator and the discriminant of a number field
- Sur le développement de \(\sqrt{m}\) en fraction continue p-adique. (On the expansion of \(\sqrt{m}\) in a p-adic continued fraction)
- Note on \(p\)-adic continued fractions
- Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
- Relative regulators of number fields
- A lower bound for the height in abelian extensions
- Covolumes, units, regulator: conjectures by D. Bertrand and F. Rodriguez-Villegas
- Continued fractions in local fields, II
- Notions relatives de régulateurs et de hauteurs
- Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"
- An effective criterion for periodicity of $\ell $-adic continued fractions
- On fields with Property (B)
- On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields
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