Ahmet Tekcan, Alper Erdem
Published 2022-11-16Version 1
In this work, we determined the general terms of all almost balancing numbers of first and second type in terms of balancing numbers and conversely we determined the general terms of all balancing numbers in terms of all almost balancing numbers of first and second type. We also set a correspondence between all almost balancing numbers of first and second type and Pell numbers.
Arithmetic Functions of Balancing Numbers
On perfect powers that are sum of two balancing numbers
On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions
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