Tag Archives: Klein's j-invariant

A Taste of Moonshine in Free Moments

Posted on January 29, 2022 by Tom Copeland

The pdf below presents relations among compositional and multiplicative inversions, Laurent series, and the formal free cumulants and moments of free probability. One example is the q-expansion of Klein’s j-invariant found in monster moonshine. Another is based on Motzkin numbers. … Continue reading →

Posted in Math | Tagged Compositional inversion, Free cumulants, Free moments, Free probability, Klein's j-invariant, Laurent series, Monster moonshine, Motzkin numbers, multiplicative inversion, Noncrossing partitions, OEIS A134264 | 1 Comment

	Tom Copeland on The Elliptic Lie Triad: KdV an…
	Tom Copeland on The Elliptic Lie Triad: KdV an…
	Tom Copeland on Formal group laws and binomial…
	Tom Copeland on A Creation Op, Scaled Flows, a…
	Tom Copeland on Calculus, Combinatorics, and G…

Tag Archives: Klein's j-invariant

A Taste of Moonshine in Free Moments

Recent Comments

Categories

Meta

Recent Posts

Archives