7 papers
The Lovász conjecture holds for moderately dense Cayley graphs
Benjamin Bedert, Nemanja Draganić, Alp Müyesser +1
We show that there is an absolute constant such that every large connected -vertex Cayley graph with degree has a Hamilton cycle. This makes progress towar…
Riesz products and the Lonely Runner Conjecture: A wider gap of loneliness
Benjamin Bedert
The lonely runner conjecture of Wills and Cusick asserts that if runners with distinct constant speeds run around a a circular unit length track, starting at a common time and…
On Graham's rearrangement conjecture over
Benjamin Bedert, Matija Bucić, Noah Kravitz +2
A sequence of elements of a group is called a valid ordering if the partial products are all distinct. A long-standi…
Graham's rearrangement conjecture beyond the rectification barrier
Benjamin Bedert, Noah Kravitz
A 1971 conjecture of Graham (later repeated by Erdős and Graham) asserts that every set has an ordering whose partial sums are all distin…
On unique sums in Abelian groups
Benjamin Bedert
Let be a subset of the cyclic group with prime. It is a well-studied problem to determine how small can be if there is no unique sum in …
On a problem of Erdős and Sárközy about sequences with no term dividing the sum of two larger terms
Benjamin Bedert
In 1970, Erdős and Sárközy wrote a joint paper studying sequences of integers having what they called property P, meaning that no divides the sum of two large…
Twisting moduli for GL(2)
Benjamin Bedert, George Cooper, Thomas Oliver +1
We prove various converse theorems for automorphic forms on Γ_0(N), each assuming fewer twisted functional equations than the last. We show that no twisting at all is needed for ho…