12 citations · 13 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…