Square classes of totally positive units

DOI10.1016/j.jnt.2006.04.010zbMath1148.11055OpenAlexW2041027673MaRDI QIDQ884515

Sung-Geun Lim, Myung-Hwan Kim

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.04.010

zbMATH Keywords

square classestotally positive unitsTaussky's conjecture

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (5)

A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS ⋮ Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves ⋮ Global unit squares and local unit squares ⋮ On the quantum attacks against schemes relying on the hardness of finding a short generator of an ideal in \(\mathbb{Q}(\zeta_{2^s})\) ⋮ DOUBLE COVERINGS AND UNIT SQUARE PROBLEMS FOR CYCLOTOMIC FIELDS

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• Unit signatures, and even class numbers, and relative class numbers.
• Units with norm - 1 and signatures of units.
• Class Number Parity for the pth Cyclotomic Field
• Totally Positive Units and Squares
• Classnumbers and unit signatures

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