Double exponential sums with exponential functions

descriptionPublicationkeyboard_double_arrow_right Article 16 Oct 2017 English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Number Theory, volume 13, pages 2,531-2,543 (issn: 1793-0421, eissn: 1793-7310,

Authors: Igor E. Shparlinski; Kam Hung Yau;

doi: 10.1142/s179304211750141x

Double exponential sums with exponential functions

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Abstract

We obtain several estimates for double rational exponential sums modulo a prime [Formula: see text] with products [Formula: see text] where both [Formula: see text] and [Formula: see text] run through short intervals and [Formula: see text] is fixed integer. We also obtain some new estimates for the number of points on exponential modular curves [Formula: see text] and similar.

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