Ethan Alwaise

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20152017

most citedCoincidences among skew dual stable Grothendieck polynomials

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math.NT2017

An Algorithm for Numerically Inverting the Modular $j$ -function

Ethan Alwaise

The modular $j$ -function is a bijective map from $X_{0} (1) ∖ {\infty}$ to $C$ . A natural question is to describe the inverse map. Gauss offered a solution to the i…

math.NT2015

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…

math.NT2015

Shifted distinct-part partition identities in arithmetic progressions

Ethan Alwaise, Robert Dicks, Jason Friedman +6

The partition function $p (n)$ , which counts the number of partitions of a positive integer $n$ , is widely studied. Here, we study partition functions $p_{S} (n)$ that count partitions…

An Algorithm for Numerically Inverting the Modular j-function

A proof of some conjectures of Mao on partition rank inequalities

Shifted distinct-part partition identities in arithmetic progressions

An Algorithm for Numerically Inverting the Modular $j$ -function