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math.NT2011★ 4 cited
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…
math.NT2011
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 $\{…
math.NT2011
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…