activity
20172021
most citedFinite generating functions for the sum of digits sequence

3 citations · 5 across the 8 of their papers we have counts for

collaborators

17 papers

math.CO2021

Extremal Graphs for a Spectral Inequality on Edge-Disjoint Spanning Trees

Sebastian M. Cioabă, Anthony Ostuni, Davin Park +3

Liu, Hong, Gu, and Lai proved if the second largest eigenvalue of the adjacency matrix of graph with minimum degree satisfies ,…

math.NT2019

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…

math.NT2019

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…

math.NT2019

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…

math.NT2019

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…

math.CO2019

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…