Nica, Bogdan2022-09-162022-09-162021Nica, B. (2021). Kloosterman sums over finite Frobenius rings. Acta Arithmetica, 201(4), 391–420. https://doi.org/10.4064/aa200826-15-7https://hdl.handle.net/1805/30037We 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 clustered around moment computations. Our main result is the computation of the fourth moment of twisted Kloosterman sums, for non-primitive twists.en-USPublisher PolicyFrobenius ringsKloostermannon-primitive twistsArticle