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4 papers
An Algorithm for Numerically Inverting the Modular -function
Ethan Alwaise
The modular -function is a bijective map from to . A natural question is to describe the inverse map. Gauss offered a solution to the i…
Coincidences among skew dual stable Grothendieck polynomials
Ethan Alwaise, Shuli Chen, Alexander Clifton +4
The question of when two skew Young diagrams produce the same skew Schur function has been well-studied. We investigate the same question in the case of stable Grothendieck polynom…
A proof of some conjectures of Mao on partition rank inequalities
Ethan Alwaise, Elena Iannuzzi, Holly Swisher
Based on work of Atkin and Swinnerton-Dyer on partition rank difference functions, and more recent work of Lovejoy and Osburn, Mao has proved several inequalities between partition…
Shifted distinct-part partition identities in arithmetic progressions
Ethan Alwaise, Robert Dicks, Jason Friedman +6
The partition function , which counts the number of partitions of a positive integer , is widely studied. Here, we study partition functions that count partitions…