1 citations · 1 across the 7 of their papers we have counts for
9 papers
Near-squares in binary recurrence sequences
Nikos Tzanakis, Paul Voutier
We call an integer a \emph{near-square} if its absolute value is a square or a prime times a square. We investigate such near-squares in the binary recurrence sequences defined for…
Perfect powers in sum of three fifth powers
Pranabesh Das, Pallab Kanti Dey, Angelos Koutsianas +1
In this paper we determine the perfect powers that are sums of three fifth powers in an arithmetic progression. More precisely, we completely solve the Diophantine equation $$ (x-d…
Complete solution of the Diophantine Equation
Gökhan Soydan, Nikos Tzanakis
The title equation is completely solved in integers , where , and . The most difficult stage of the resolution is the explicit resolu…
Integral points of a modular curve of level 11
René Schoof, Nikos Tzanakis
Using lower bounds for linear forms in elliptic logarithms we determine the integral points of the modular curve associated to the normalizer of a non-split Cartan group of level 1…
On the equation
Andrew Bremner, Nikos Tzanakis
We find explicitly all rational solutions of the title equation for all integers in the range except for . For the solution, a variety of methods is app…
On the Diophantine Equation
I. N. Cangül, M. Demirci, G. Soydan +1
We give the complete solution in integers of the title equation when , except for the case when is odd.