Diophantine equations concerning balancing and Lucas balancing numbers

DOI10.1007/s00013-016-0994-zzbMath1429.11030OpenAlexW2557112599MaRDI QIDQ512275

Sudhansu Sekhar Rout, Pallab Kanti Dey

Publication date: 24 February 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0994-z

zbMATH Keywords

arithmetic progressionsrecurrence sequencesbalancing numbersLucas balancing numbers

Mathematics Subject Classification ID

Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Arithmetic progressions (11B25)

Related Items

Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers ⋮ Prime powers in sums of terms of binary recurrence sequences

Uses Software

• Magma

Cites Work

• Irreducibility of generalized Hermite-Laguerre polynomials
• Perfect powers in second order linear recurrences
• The product of consecutive integers is never a power
• The Magma algebra system. I: The user language
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• Approximate formulas for some functions of prime numbers
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• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• PRODUCTS OF CONSECUTIVE INTEGERS
• Powers in products of terms of Pell's and Pell–Lucas Sequences
• On Square Fibonacci Numbers
• The House Problem
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