12 citations · 13 across the 8 of their papers we have counts for
8 papers
Overpartitions with repeated smallest non-overlined part
Amita Malik, Rishabh Sarma
Inspired by Andrews' and Bachraoui's work on partitions with repeated smallest part, we extend the concept to overpartitions. We study overpartitions with the restriction that the…
The shifted convolution problem in function fields
Alexandra Florea, Matilde Lalín, Amita Malik +1
We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of where runs over moni…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…
Equidistribution of with a Chebotarev condition and applications to extremal primes
Amita Malik, Neha Prabhu
We establish a joint distribution result concerning the fractional part of for , where is a prime satisfying a Chebotarev condition in a fixed finite…
Extremal primes of elliptic curves without complex multiplication
C. David, A. Gafni, A. Malik +2
Fix an elliptic curve E over Q. An extremal prime for E is a prime p of good reduction such that the number of rational points on E modulo p is maximal or minimal in relation to th…
Spatial Statistics of Apollonian Gaskets
Weiru Chen, Mo Jiao, Calvin Kessler +2
Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the pair correlation…
Divisibility properties of sporadic Apéry-like numbers
Amita Malik, Armin Straub
In 1982, Gessel showed that the Apéry numbers associated to the irrationality of satisfy Lucas congruences. Our main result is to prove corresponding congruences for all spo…
Geometry of Farey-Ford polygons
Jayadev Athreya, Sneha Chaubey, Amita Malik +1
The Farey sequence is a natural exhaustion of the set of rational numbers between 0 and 1 by finite lists. Ford Circles are a natural family of mutually tangent circles associated…