Mahler measure and computation of universal constants for polynomials in \(n\) variables

DOI10.1007/BF01459805zbMath0816.31006MaRDI QIDQ1337528

Pierre Lelong

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165229

zbMATH Keywords

logarithmic growthproduct of polynomialsMahler's inequalityinequalities for plurisubharmonic functions

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Inequalities for trigonometric functions and polynomials (26D05) Holomorphic functions of several complex variables (32A10) Diophantine approximation, transcendental number theory (11J99)

Related Items (7)

Polya's inequalities, global uniform integrability and the size of plurisubharmonic lemniscates ⋮ On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant ⋮ On the complexity exponent of polynomial system solving ⋮ Higher Lelong numbers and convex geometry ⋮ Total masses of mixed Monge-Ampère currents. ⋮ An arithmetic Poisson formula for the multi-variate resultant ⋮ Unlikely intersections with isogeny orbits in a product of elliptic schemes

Cites Work

• Sur des hauteurs alternatives. I. (On alternative heights. I)
• Products of polynomials in many variables
• Cinquante ans de polynômes. Fifty years of polynomials. Proceedings of a conference held in honour of Alain Durand at the Institut Henri Poincaré, Paris, France, May 26-27, 1988
• An application of Jensen's formula to polynomials
• Extremal plurisubharmonic functions in $C^N$
• A Variant of an Inequality of Gel'Fond and Mahler
• Propriétés métriques des variétés analytiques complexes définies par une équation
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