On algebraic numbers of small measure

DOI10.1007/BF02348822zbMath0860.11063OpenAlexW4236908706MaRDI QIDQ1925181

Arturas Dubickas

Publication date: 24 April 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02348822

zbMATH Keywords

Mahler measureupper bound for the number of real zeros of an irreducible polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (6)

On the relations between the zeros of a polynomial and its Mahler measure ⋮ On the maximal conjugate of a totally real algebraic integer ⋮ Polynomials with high multiplicity at unity and Tarry's problem ⋮ Polynomials with a root close to an integer ⋮ On the order of vanishing at 1 of a polynomial ⋮ On algebraic numbers close to 1

Cites Work

• On algebraic numbers of small height: Linear forms in one logarithm
• A refinement of two theorems of Kronecker
• On a conjecture of A. Schinzel and H. Zassenhaus
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