Abstract
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 language | English |
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Pages (from-to) | 1497-1502 |
Number of pages | 6 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 34 |
Issue number | 4 |
Publication status | Published - Dec 2004 |