21 citations · 38 across the 13 of their papers we have counts for
4 papers · 1 filter
Proof of a conjecture of Stanley-Zanello
Levent Alpoge
We prove that the number of partitions of an integer into at most b distinct parts of size at most n forms a unimodal sequence for n sufficiently large with respect to b. This reso…
Self-conjugate core partitions and modular forms
Levent Alpoge
A recent paper by Hanusa and Nath states many conjectures in the study of self-conjugate core partitions. We prove all but two of these conjectures asymptotically by number-theoret…
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 zeroes of Maass form -functions
Levent Alpoge, Steven J. Miller
The Katz-Sarnak density conjecture states that the scaling limits of the distributions of zeros of families of automorphic -functions agree with the scaling limits of eigenvalue…