17 citations · 68 across the 17 of their papers we have counts for
6 papers · 1 filter
Extension of a proof of the Ramanujan congruences for multipartitions
Oleg Lazarev, Matthew S. Mizuhara, Benjamin Reid +1
Recently Lachterman, Schayer, and Younger published an elegant proof of the Ramanujan congruences for the partition function . Their proof uses only the classical theory of m…
Maass waveforms and low-lying zeros
Levent Alpoge, Nadine Amersi, Geoffrey Iyer +3
The Katz-Sarnak Density Conjecture states that the behavior of zeros of a family of -functions near the central point (as the conductors tend to zero) agrees with the behavior o…
Low-lying Zeros of Cuspidal Maass Forms
Nadine Amersi, Geoffrey Iyer, Oleg Lazarev +2
The Katz-Sarnak Density Conjecture states that the behavior of zeros of a family of -functions near the central point (as the conductors tend to zero) agree with the behavior of…
Distribution of Missing Sums in Sumsets
Oleg Lazarev, Steven J. Miller, Kevin O'Bryant
For any finite set of integers X, define its sumset X+X to be {x+y: x, y in X}. In a recent paper, Martin and O'Bryant investigated the distribution of |A+A| given the uniform dist…
Generalized More Sums Than Differences Sets
Geoffrey Iyer, Oleg Lazarev, Steven J. Miller +1
A More Sums Than Differences (MSTD, or sum-dominant) set is a finite set such that . Though it was believed that the percentage of subsets of $\{…
Finding and Counting MSTD sets
Geoffrey Iyer, Oleg Lazarev, Steven J. Miller +1
We review the basic theory of More Sums Than Differences (MSTD) sets, specifically their existence, simple constructions of infinite families, the proof that a positive percentage…