Perfect powers in the summatory function of the power tower

DOI10.5802/jtnb.740zbMath1231.11040OpenAlexW2335598091WikidataQ60692813 ScholiaQ60692813MaRDI QIDQ719144

Florian Luca, Diego Marques

Publication date: 10 October 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2010__22_3_703_0/

zbMATH Keywords

exponential Diophantine equations

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers
• Linear forms in two logarithms and interpolation determinants
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Solutions entières de l'équation $Y^m = f(X)$
• P-adic logarithmic forms and group varieties I
• Criteria for irrationality of Euler’s constant
• An effective lower bound for the height of algebraic numbers

This page was built for publication: Perfect powers in the summatory function of the power tower