Generalized balancing numbers
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Publication:1042756
DOI10.1016/S0019-3577(09)80005-0zbMath1239.11035OpenAlexW1986913327MaRDI QIDQ1042756
Florian Luca, Kálmán Liptai, Ákos Pintér, László Szalay
Publication date: 7 December 2009
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0019-3577(09)80005-0
Related Items (17)
Unnamed Item ⋮ On the Properties of Balancing and Lucas-Balancing $p$-Numbers ⋮ Balancing with binomial coefficients ⋮ Unnamed Item ⋮ Periodicity of balancing numbers ⋮ Two generalizations of dual-complex Lucas-balancing numbers ⋮ Unnamed Item ⋮ The Tribonacci-type balancing numbers and their applications ⋮ Unnamed Item ⋮ The Diophantine equation \(8x^2-y^2+8x(1+t)+(2t+1)^2=0\) and \(t\)-balancing numbers ⋮ Balancing polynomials and their derivatives ⋮ On the properties of k-balancing and k-Lucas-balancing numbers ⋮ Classes of gap balancing numbers ⋮ A Hasse-type principle for exponential Diophantine equations over number fields and its applications ⋮ Unnamed Item ⋮ Polynomial values of surface point counting polynomials ⋮ \(k\)-gap balancing numbers
Cites Work
- On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
- On the Diophantine equation \(1^k+2^k+\dots +x^k+R(x)=y^2\)
- The Diophantine equation f(x) = g(y)
- On equal values of power sums
- Integral Points on Certain Elliptic Curves
- The House Problem
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