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math.NT2026
Gaps for PLRS with zero coefficients
Yinxi Chen, Zongyun Chen, Brian Hii +1
Zeckendorf proved that every positive integer has a unique decomposition as a sum of non-adjacent Fibonacci numbers. Among its extensions, we focus on Positive Linear Recurrence Se…
math.NT2026
Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation
Steven J. Miller, Dimitrios Nikolakopoulos, Anitha Srinivasan
We study the Diophantine equation , where is an integer. Using Vieta jumping, we completely classify all positive intege…