Diophantine inequalities involving several power sums

DOI10.1007/S00229-004-0486-5zbMath1113.11020OpenAlexW2038463132MaRDI QIDQ704813

Clemens Fuchs, Amedeo Scremin

Publication date: 19 January 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0486-5

zbMATH Keywords

Diophantine inequalitiesexponential equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine inequalities (11D75) Diophantine inequalities (11J25) Exponential Diophantine equations (11D61)

Cites Work

• Diophantine inequalities with power sums
• Pure powers in recurrence sequences and some related diophantine equations
• Diophantine approximation
• Diophantine approximations and diophantine equations
• Diophantine equations with power sums and universal Hilbert sets
• An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)
• Polynomial-exponential equations and linear recurrences
• Perfect powers in linear recurring sequences
• On the diophantine equation $f(a^m,y)=b^n$
• A sharpening of the bounds for linear forms in logarithms II
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