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math.NT2025
Non-standard quaternary representations and the Fibonacci numbers
Katie Anders, Madeline L. Dawsey, Rajat Gupta +2
Let be the number of hyperquaternary representations of and be the number of balanced quaternary representations of . We show that there is no integer …
math.NT2025
Partition-theoretic model of prime distribution
Aidan Botkin, Madeline L. Dawsey, David J. Hemmer +2
We make an application of ideas from partition theory to a problem in multiplicative number theory. We propose a deterministic model of prime number distribution, from first princi…