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math.PR2020
A refinement of the binomial distribution using the quantum binomial theorem
Andrew V. Sills
-analogs of special functions, including hypergeometric functions, play a central role in mathematics and have numerous applications in physics. In the theory of probability, $q…
math.NT2020
Towards an automation of the circle method
Andrew V. Sills
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of is reviewed. Next, the steps for finding analogous formulas for certain restricted clas…