Kunle Adegoke
Published 2017-02-27Version 1
By applying the classic telescoping summation formula and its variants to identities involving inverse hyperbolic tangent functions having inverse powers of the golden ratio as arguments and employing subtle properties of the Fibonacci and Lucas numbers, we derive interesting general infinite product identities involving these numbers.
Sums of fourth powers of Fibonacci and Lucas numbers
On a problem of Pillai involving S-units and Lucas numbers
Fibonacci and Lucas numbers as products of three repdigits in base $g$
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