3 papers
math.CO2020
A criterion for sharpness in tree enumeration and the asymptotic number of triangulations in Kuperberg's G2 spider
Robert Scherer
We prove a conjectured asymptotic formula of Kuperberg from the representation theory of the Lie algebra . Given a non-negative sequence , the identity $B(x)=…
math.NT2019
Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant θ_3
Robert Scherer
Recently, Romik determined in [9] the Taylor expansion of the Jacobi theta constant θ_3, around the point x = 1. He discovered a new integer sequence, (d(n))_0^\infty=1, 1, -1, 51,…
math.CV2018
Alternative summation orders for the Eisenstein series G2 and Weierstrass p-function
Dan Romik, Robert Scherer
We consider alternative orders of summation for the conditionally convergent series defining the weight-2 Eisenstein series G2 and the Weierstrass p-function. The resulting sums di…