Kloosterman sums over finite Frobenius rings
Volume 201 / 2021
Acta Arithmetica 201 (2021), 391-420
MSC: Primary 11L05; Secondary 16L60.
DOI: 10.4064/aa200826-15-7
Published online: 10 November 2021
Abstract
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 clustered around moment computations. Our main result is the computation of the fourth moment of twisted Kloosterman sums, for non-primitive twists.
