On the arithmetic of two constructions of Salem numbers.

DOI10.1515/crll.1984.348.166zbMath0517.12001OpenAlexW4211170250MaRDI QIDQ3665209

Ted Chinburg

Publication date: 1984

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002201305

zbMATH Keywords

Pisot numberclass number of field generated by Salem numbersderivatives at s=0 of Artin L-functionslower bound for Salem numbers

Mathematics Subject Classification ID

Other number fields (11R21) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

Small points on a multiplicative group and class number problem ⋮ The arithmetic and geometry of Salem numbers

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