96 citations · 190 across the 18 of their papers we have counts for
4 papers · 1 filter
Kloosterman sums over finite Frobenius rings
Bogdan Nica
We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely…
On bounded elementary generation for over polynomial rings
Bogdan Nica
Let be the polynomial ring over a finite field . It is shown that, for , the special linear group is boundedly generated by the elementary matrices.
A relative bound for independence
Bogdan Nica
We prove an upper bound for the independence number of a graph in terms of the largest Laplacian eigenvalue, and of a certain induced subgraph. Our bound is a refinement of a well-…
Two applications of strong hyperbolicity
Bogdan Nica
We present two analytic applications of the fact that a hyperbolic group can be endowed with a strongly hyperbolic metric. The first application concerns the crossed-product C*-alg…