10 citations · 26 across the 12 of their papers we have counts for
7 papers · 1 filter
On Distinct Angles in the Plane
Sergei V. Konyagin, Jonathan Passant, Misha Rudnev
We prove that if points lie in convex position in the plane then they determine distinct angles, provided that the points do not lie on a common circle. This is de…
Incidence bounds with Möbius hyperbolae in positive characteristic
Misha Rudnev, James Wheeler
We prove new incidence bounds between a plane point set, which is a Cartesian product, and a set of translates of the hyperbola , over a field of asymptotically lar…
On incidences of lines in regular complexes
Misha Rudnev
A regular linear line complex is a three-parameter set of lines in space, whose Plücker vectors lie in a hyperplane, which is not tangent to the Klein quadric. Our main result is a…
Growth Estimates in Positive Characteristic via Collisions
Esen Aksoy Yazici, Brendan Murphy, Misha Rudnev +1
Let be a field of characteristic and have sufficiently small cardinality in terms of . We improve the state of the art of a variety of sum-product type in…
New sum-product type estimates over finite fields
Oliver Roche-Newton, Misha Rudnev, Ilya D. Shkredov
Let be a field with positive odd characteristic . We prove a variety of new sum-product type estimates over . They are derived from the theorem that the number of inciden…
Generalized incidence theorems, homogeneous forms, and sum-product estimates in finite fields
David Covert, Derrick Hart, Alex Iosevich +2
In recent years, sum-product estimates in Euclidean space and finite fields have been studied using a variety of combinatorial, number theoretic and analytic methods. Erdos type pr…