S-unit points on analytic hypersurfaces

DOI10.1016/j.ansens.2004.09.003zbMath1118.11033OpenAlexW1984904219MaRDI QIDQ3021640

Umberto Zannier, Pietro Corvaja

Publication date: 10 June 2005

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2005_4_38_1_76_0

zbMATH Keywords

S-unitanalytic hypersurfaceSubspace Theorem

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Transcendence (general theory) (11J81) Approximation to algebraic numbers (11J68)

Related Items (8)

On the digital representation of smooth numbers ⋮ Finiteness of odd perfect powers with four nonzero binary digits ⋮ On the greatest prime factor of Markov pairs ⋮ Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences ⋮ The polynomial-exponential equation \(1 + 2^a + 6^b = y^q\) ⋮ On the digital representation of integers with bounded prime factors ⋮ Integral zeros of a polynomial with linear recurrences as coefficients ⋮ THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC

Cites Work

• A vanishing theorem for power series
• Parametrizing SL₂(Z) and a question of Skolem
• On the diophantine equation $f(a^m,y)=b^n$
• Exponential diophantine equations
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