Geometry of biquadratic and cyclic cubic log-unit lattices

DOI10.1016/j.jnt.2021.04.007zbMath1482.11095arXiv1910.12105OpenAlexW3168159823WikidataQ114157012 ScholiaQ114157012MaRDI QIDQ2043488

Fernando Azpeitia Tellez, Shahed Sharif, Christopher D. Powell

Publication date: 2 August 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12105

zbMATH Keywords

latticeslog embeddingunits in number fields

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the shortness of vectors to be found by the ideal-SVP quantum algorithm
• Mathematics of Public Key Cryptography
• The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Fully Homomorphic Encryption with Relatively Small Key and Ciphertext Sizes
• Galois module structure of units in real biquadratic number fields
• An Investigation of Bounds for the Regulator of Quadratic Fields
• The shapes of Galois quartic fields
• Linear forms in the logarithms of algebraic numbers (III)
• Recovering Short Generators of Principal Ideals in Cyclotomic Rings

This page was built for publication: Geometry of biquadratic and cyclic cubic log-unit lattices