13 citations · 30 across the 12 of their papers we have counts for
5 papers · 1 filter
Gross vectors modulo 2 and elliptic curves of prime conductor
Matija Kazalicki, Siniša Slijepčević
Let p > 3 be a prime, and let S_p denote the geometric isomorphism classes of supersingular elliptic curves in characteristic p whose j-invariants lie in F_p. For each negative fun…
Positive exponential sums and odd polynomials
Marina Nincevic, Sinisa Slijepcevic
Given an odd integer polynomial f(x) of a degree k >=3, we construct a non-negative valued, normed trigonometric polynomial with the spectrum in the set of integer values of f(x) n…
On van der Corput property of squares
Sinisa Slijepcevic
We prove that the upper bound for the van der Corput property of the set of perfect squares is O((log n)^{-1/3}), giving an answer to a problem considered by Ruzsa and Montgomery.…
On van der Corput property of shifted primes
Sinisa Slijepcevic
We prove that the upper bound for the van der Corput property of the set of shifted primes is O((log n)^{-1+o(1)}), giving an answer to a problem considered by Ruzsa and Montgomery…
On complex positive definite functions on Z_n vanishing on squares
Sinisa Slijepcevic
We generalize the Sarkozy-Furstenberg theorem on squares in difference sets of integers, and show that, given any positive definite function f:Z_N->C with density at least r(N), wh…