W. Gasarch

activity

19942023

most citedFermat's Last Theorem, Schur's Theorem (in Ramsey Theory), and the Infinitude of the Primes

4 citations · 22 across the 26 of their papers we have counts for

collaborators

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14 papers · 1 filter

math.CO2023

Big Ramsey Degrees of Countable Ordinals

Joanna Boyland, William Gasarch, Nathan Hurtig +1

Ramsey's theorem states that for all finite colorings of an infinite set, there exists an infinite homogeneous subset. What if we seek a homogeneous subset that is also order-equiv…

math.CO2019

NIM with Cash: A Concrete Approach

Douglas Chen, William Gasarch

Let A be a finite subset of the naturals and let n be a natural. Let NIM(A;n) be the two player game in which players alternate removing $a \in A$ stones from a pile with $n$ stones…

math.CO2017

The Muffin Problem

Guangiqi Cui, John Dickerson, Naveen Durvasula +6

You have $m$ muffins and $s$ students. You want to divide the muffins into pieces and give the shares to students such that every student has $\frac{m}{s}$ muffins. Find a divide-a…

math.CO2015

NIM with Cash

William Gasarch, John Purtilo, Douglas Ulrich

Let A be a finite subset of $\nat$. Then NIM(A;n) is the following 2-player game: initially there are $n$ stones on the board and the players alternate removing $a \in A$ stones. Th…

math.CO2015

Three Results on Making Change (An Exposition)

William Gasarch, Naveen Raman

Assume you an infinite supply of pennies, nickels, dimes, and quarters (or some other finite set of denominations which are relatively prime). Let CH(n) be the number of ways to ma…

math.CO2014

Distinct volume subsets

David Conlon, Jacob Fox, William Gasarch +3

Suppose that $a$ and $d$ are positive integers with $a \geq 2$ . Let $h_{a, d} (n)$ be the largest integer $t$ such that any set of $n$ points in $R^{d}$ contains a subset of $…