Exponential function analogue of kloosterman sums

Igor E. Shparlinski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider exponential sums of the form Kg(a,b) = ∑ x=1 gcd (x,t)=1 t exp (2πi(agx + bg x-1p), where g is of multiplicative order t modulo the prime p. We obtain a nontrivial upper bound on these sums on average over all elements g of multiplicative order t, provided that t ≥ p3/4+δ with an arbitrary fixed δ > 0.

Original languageEnglish
Pages (from-to)1497-1502
Number of pages6
JournalRocky Mountain Journal of Mathematics
Issue number4
Publication statusPublished - Dec 2004


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