6 citations · 22 across the 25 of their papers we have counts for
7 papers · 1 filter
Taylor coefficients of the Jacobi function
Tanay Wakhare, Christophe Vignat
We extend some results recently obtained by Dan Romik about the Taylor coefficients of the theta function to the case of an arbitrary va…
Romik's Conjecture for the Jacobi Theta Function
Tanay Wakhare
Dan Romik recently considered the Taylor coefficients of the Jacobi theta function around the complex multiplication point . He then conjectured that the Taylor coefficients $d(…
The Inverse Eigenvalue Problem for Linear Trees
Tanay Wakhare, Charles R. Johnson
We prove the sufficiency of the Linear Superposition Principle for linear trees, which characterizes the spectra achievable by a real symmetric matrix whose underlying graph is a l…
Analytic Continuation for Multiple Zeta Values using Symbolic Representations
Lin Jiu, Tanay Wakhare, Christophe Vignat
We introduce a symbolic representation of -fold harmonic sums at negative indices. This representation allows us to recover and extend some recent results by Duchamp et al., suc…
A symbolic approach to the poly-Bernoulli numbers
T. Wakhare, C. Vignat
We present a symbolic representation for the poly-Bernoulli numbers. This allows us to prove several new iterated integral representations for the poly-Bernoulli numbers, including…
A Generalized Newton-Girard Identity
Tanay Wakhare
We present a generalization of the Newton-Girard identities, along with some applications. As an addendum, we collect many evaluations of symmetric polynomials to which these ident…
The Proportion of Trees that are Linear
Tanay Wakhare, Eric Wityk, Charles R. Johnson
We study several enumeration problems connected to linear trees, a broad class which includes stars, paths, generalized stars, and caterpillars. We provide generating functions for…