Fibonacci multiplication

Abstract: We will define an interesting product for generalized Fibonacci sequences, explore the consequences of this definition, extend this to a ring, define the notion of a prime among these sequences, and show that this ring contains infinitely many primes. This product can be viewed as sums of shifts of scalar multiples of the canonical Fibonacci sequence, and may provide new insight into sequences of continuing interest.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory seminar (CANT 2026)