REMARKS ON EISENSTEIN

DOI10.1017/S144678871300013XzbMath1326.11064arXiv1112.2290OpenAlexW2963151956MaRDI QIDQ2861572

Alexander Borichev, Yuri F. Bilu

Publication date: 11 November 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2290

zbMATH Keywords

Laurent seriesalgebraic power seriesEisenstein theorem\(M_K\) divisorramified series

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Heights (11G50) Polynomials (irreducibility, etc.) (11R09)

Related Items (6)

Quantitative Chevalley-Weil theorem for curves ⋮ An upper bound for the number of $S$-integral points on curves of genus zero ⋮ Chevalley-Weil theorem and subgroups of class groups ⋮ The local dimension of a finite group over a number field ⋮ Binary polynomial power sums vanishing at roots of unity ⋮ The Skolem-Abouzaïd theorem in the singular case

Cites Work

• Unnamed Item
• Lower bounds for height functions
• Construction and estimation of bases in function fields
• The Eisenstein constant
• On the global distance between two algebraic points on a curve.
• HEIGHTS AND LOGARITHMIC gcd ON ALGEBRAIC CURVES
• ESTIMATES FOR THE SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS BY RUNGE'S METHOD
• Polynomial-exponential equations and linear recurrences

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