9 citations · 25 across the 10 of their papers we have counts for
10 papers
Rigorous Analytic Combinatorics in Several Variables in SageMath
Benjamin Hackl, Andrew Luo, Stephen Melczer +2
We introduce the new sage_acsv package for the SageMath computer algebra system, allowing users to rigorously compute asymptotics for a large variety of multivariate sequences with…
A Unified Approach to Unimodality of Gaussian Polynomials
Christoph Koutschan, Ali K. Uncu, Elaine Wong
In 2013, Pak and Panova proved the strict unimodality property of -binomial coefficients (as polynomials in ) based on the combinatorics of Young tablea…
Convexity, Squeezing, and the Elekes-Szabó Theorem
Oliver Roche-Newton, Elaine Wong
This paper explores the relationship between convexity and sum sets. In particular, we show that elementary number theoretical methods, principally the application of a squeezing p…
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda +1
We present and prove closed form expressions for some families of binomial determinants with signed Kronecker deltas that are located along an arbitrary diagonal in the correspondi…
Creative Telescoping on Multiple Sums
Christoph Koutschan, Elaine Wong
We showcase a collection of practical strategies to deal with a problem arising from an analysis of integral estimators derived via quasi-Monte Carlo methods. The problem reduces t…
Walsh functions, scrambled -nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration
Jaspar Wiart, Elaine Wong
We investigate base Walsh functions for which the variance of the integral estimator based on a scrambled -net in base is less than or equal to that of the Monte-C…
An Additive Decomposition in S-Primitive Towers
Hao Du, Jing Guo, Ziming Li +1
We consider the additive decomposition problem in primitive towers and present an algorithm to decompose a function in an S-primitive tower as a sum of a derivative in the tower an…
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations
Christoph Koutschan, Elaine Wong
We derive exact and sharp lower bounds for the number of monochromatic generalized Schur triples whose entries are from the set , subject to a coloring…
Curious Bounds for Floor Function Sums
Thotsaporn Thanatipanonda, Elaine Wong
The sums of floor functions have been studied by Jacobsthal, Carlitz, Grimson, and Tverberg. More recently, Onphaeng and Pongsriiam proved some sharp upper and lower bounds for the…
On the Minimum Number of Monochromatic Generalized Schur Triples
Thotsaporn Thanatipanonda, Elaine Wong
The solution to the problem of finding the minimum number of monochromatic triples with being a fixed positive integer over any 2-coloring of was con…