The Eisenstein constant

DOI10.1215/S0012-7094-92-06502-1zbMath0770.11051OpenAlexW1967945667WikidataQ55983664 ScholiaQ55983664MaRDI QIDQ1188202

Bernard M. Dwork, Alfred J. van der Poorten

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06502-1

zbMATH Keywords

lower boundradius of convergencePuiseux expansionEisenstein constantalgebraic power seriesupper bound for the \(p\)-adic absolute value

Mathematics Subject Classification ID

(p)-adic differential equations (12H25) Polynomials (11S05)

Related Items (14)

Corrections to ``The Eisenstein constant ⋮ Quantitative Chevalley-Weil theorem for curves ⋮ A simplified proof for a theorem of Dwork and van der Poorten ⋮ Families of ϕ‐congruence subgroups of the modular group ⋮ On the global distance between two algebraic points on a curve. ⋮ On the Eisenstein constant ⋮ HEIGHTS AND LOGARITHMIC gcd ON ALGEBRAIC CURVES ⋮ ESTIMATES FOR THE SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS BY RUNGE'S METHOD ⋮ On unbounded denominators and hypergeometric series ⋮ A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ REMARKS ON EISENSTEIN ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties ⋮ The Skolem-Abouzaïd theorem in the singular case

Cites Work

• Effective \(p\)-adic bounds at regular singular points
• Eliminating wild ramification
• Eisenstein's theorem on power series expansions of algebraic functions
• On Natural Radii of p-Adic Convergence
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
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