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Kloosterman sums over finite Frobenius rings

Volume 201 / 2021

Bogdan Nica Acta Arithmetica 201 (2021), 391-420 MSC: Primary 11L05; Secondary 16L60. DOI: 10.4064/aa200826-15-7 Published online: 10 November 2021


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.


  • Bogdan NicaDepartment of Mathematical Sciences
    Indiana University–Purdue University Indianapolis
    402 N Blackford St., LD 270
    Indianapolis, IN 46202, USA

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