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math.NT2026
Gosper's and Ramanujan's infinite products and generalizations
Jean-Paul Allouche, John M. Campbell, Simon R. Holcombe +2
Gosper introduced many remarkable formulas involving infinite products. One such formula provides an evaluation of the product $$\prod_{n \geq 1} \frac{1}{e}\left(\frac{1}{3n} + 1\…
math.CO2026
Subword enumeration up to stack-sorting equivalence
John M. Campbell, Narad Rampersad
Defant and Kravitz introduced generalizations of West's stack-sorting map from permutations to finite words. This raises questions as to how such generalizations could be appli…
math.NT2026
Meta-automatic Sequences
John M. Campbell, Benoit Cloitre
Nested (or meta-Fibonacci) recurrences, such as the recurrence used to define Hofstadter's Q-sequence, along with the digit-based recurrences that underlie automatic sequences are…