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math.NT2024
A Tauberian characterization of the Riemann hypothesis through the floor function
Benoit Cloitre
We introduce a new Tauberian framework through the theory of "regular arithmetic functions". This allows us to establish a characterization of the Riemann hypothesis by linking the…
math.CO2024
Some Fibonacci-Related Sequences
Benoit Cloitre, Jeffrey Shallit
We discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties. Our main tool…