[PDF][PDF] Properties of balancing, cobalancing and generalized balancing numbers

P Olajos - Annales mathematicae et informaticae, 2010 - ami.uni-eszterhazy.hu
Properties of balancing, cobalancing and generalized balancing numbers∗ Page 1 Annales
Mathematicae et Informaticae 37 (2010) pp. 125–138 http://ami.ektf.hu Properties of balancing …

[PDF][PDF] On (a, b)-balancing numbers

T Kovács, K Liptai, P Olajos - Publ. Math …, 2010 - balancingnumbers.uni-eszterhazy …
A positive integer n is called a balancing number if 1+...+(n− 1)=(n+ 1)+···+(n+ r) for some
positive integer r. Balancing numbers and their generalizations have been investigated by …

Linear combinations of prime powers in binary recurrence sequences

C Bertók, L Hajdu, I Pink, Z Rábai - International Journal of Number …, 2017 - World Scientific
We give finiteness results concerning terms of linear recurrence sequences having a
representation as a linear combination, with fixed coefficients, of powers of fixed primes. On …

Integers represented by binary recursive sequences

L Hajdu, R Tijdeman - arXiv preprint arXiv:2408.04986, 2024 - arxiv.org
This paper is the continuation of\cite {htl}, where we deal with Lucas sequences. Here we
study integers represented by integer sequences which satisfy binary recursive relations. In …

On Diophantine equations involving Lucas sequences

P Trojovský - Open Mathematics, 2019 - degruyter.com
On Diophantine equations involving Lucas sequences Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

[PDF][PDF] On the Diophantine equation Ln=(x 5)

S Tengely - Publ. Math. Debrecen, 2011 - shrek.unideb.hu
ON THE DIOPHANTINE EQUATION Ln = (x ) 1. introduction There are many articles concerning
the Diophantine equation Rn = P(x), whe Page 1 ON THE DIOPHANTINE EQUATION Ln = (x …

A Jacobi Symbol Criterion Involving -Fibonacci and -Lucas numbers and Integer Points on Elliptic Curves

G Freitas, J Lelis, E Silva - arXiv preprint arXiv:2203.11755, 2022 - arxiv.org
In 1989, Ming Luo\cite {L2} showed that the Fibonacci number $ U_n $ is Triangular if and
only if $ n=\pm1, 2, 4, 8, 10$. For this, he established a Jacobi Symbol Criterion. Moreover …

[PDF][PDF] Sequences in Diophantine Number Theory= Sorozatok a diofantikus számelméletben

S Tengely - 2021 - real-d.mtak.hu
Válasz: A számelmélet és a kriptográ a nagyon sok szálon kapcsolódik egymáshoz, például
az egyik legismertebb titkosítási eljárás az RSA esetében az húzódik meg a háttérben, hogy …

On some polynomial values of repdigit numbers

T Kovács, G Péter, N Varga - Periodica Mathematica Hungarica, 2013 - Springer
ON SOME POLYNOMIAL VALUES OF REPDIGIT NUMBERS 1. Introduction Page 1
Periodica Mathematica Hungarica Vol. 67 (2), 2013, pp. 221–230 DOI: 10.1007/s10998-013-1396-7 …

[PDF][PDF] Exponential Diophantine Equations and representation problems

C Bertók - 2019 - dea.lib.unideb.hu
In this dissertation, we consider representation problems of integers as expressions
involving exponential terms. We also give algorithms which can be used to solve …