Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleStepanov's Method Applied to Binomial Exponential Sums.AuthorsCOCHRANE, TODD; PINNER, CHRISTOPHERAbstractFor a prime p and binomial axk + bxl with 1 ≤ l < k < 1/32(p – 1)2/3, we use Stepanov's method to obtain the bound |Σp−1x=1ep(axk + bxl)| ≪ max {1, lΔ−1/3}1/4 k1/4 p3/4, where Δ = (k – l)/(k, l, p – 1).SubjectsBINOMIAL coefficients; BINOMIAL theorem; EXPONENTIAL sums; NUMERICAL functions; MATHEMATICAL sequencesPublicationQuarterly Journal of Mathematics, 2003, Vol 54, Issue 3, p243ISSN0033-5606Publication typeArticleDOI10.1093/qmath/hag020