8 citations · 10 across the 4 of their papers we have counts for
4 papers
Repellent properties of perfect powers on partition functions: a heuristic approach
Summer Haag, Praneel Samanta, Swati +3
In 2013, Sun conjectured that the partition function is never a perfect power for . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…
The error term in counting prime pairs
Leon Chou, Summer Haag, Jake Huryn +1
We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of prime pairs to the norm of an exponential sum over the primes formed with…
The local-global conjecture for Apollonian circle packings is false
Summer Haag, Clyde Kertzer, James Rickards +1
In a primitive integral Apollonian circle packing, the curvatures that appear must fall into one of six or eight residue classes modulo 24. The local-global conjecture states that…
Computational study of non-unitary partitions
A. P. Akande, Tyler Genao, Summer Haag +4
Following Cayley, MacMahon, and Sylvester, define a non-unitary partition to be an integer partition with no part equal to one, and let denote the number of non-unitary part…