3 papers
math.NT2023
Arbitrarily long strings of consecutive primes in special sets
Sai Sanjeev Balakrishnan, Félix Houde, Vahagn Hovhannisyan +2
Let be a function of the form where , for $…
math.CO2023
Embedding dimension gaps in sparse codes
R. Amzi Jeffs, Henry Siegel, David Staudinger +1
We study the open and closed embedding dimensions of a convex 3-sparse code , which records the intersection pattern of lines in the Fano plane. We show that the clos…
math.CO2023
Discrepancies of subtrees
Tarun Krishna, Peleg Michaeli, Michail Sarantis +2
We study multicolour, oriented and high-dimensional discrepancies of the set of all subtrees of a tree. As our main result, we show that the -colour discrepancy of the subtrees…