3 papers
math.GM2025
Fibonacci-harmonic sums
Kunle Adegoke, Segun Olofin Akerele, Robert Frontczak
We offer several new summation identities involving harmonic numbers, odd harmonic numbers, and Fibonacci numbers. Our results are derived using three different approaches: partial…
math.CO2023
Fibonacci sums modulo 5
Kunle Adegoke, Robert Frontczak, Taras Goy
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred…
math.CO2022
New binomial Fibonacci sums
Kunle Adegoke, Robert Frontczak, Taras Goy
We present some new linear, quadratic, cubic and quartic binomial Fibonacci, Lucas and Fibonacci--Lucas summation identities.