Abstract
A new theorem on approximation of exponential sum by shorter one is proved.
Similar content being viewed by others
References
Hardy G H and Littlewood J E, The zeros of Riemann’s zeta-function on the critical line,Math. Z. 10 (1921)283–317
Karatsuba A A,Fundamentals of analytic theorv of numbers (Moscow: Nauka) II edn (1983)
Titchmarsh E K,Theory of Riemann’s zeta-functions (Oxford: University Press) (1951)
Van der Corput J G, Verschärfung der abschätzung beim teilerproblem,Math. Ann. 87 (1922) 39–65
Vinogradov I M,On the average value of the number of classes of purely root form of the negative determinant, Communications of Kharkhov Mathematics Society, vol. 16 (1917) pp. 10–38
Vinogradov I M,Special versions of the methods of trigonometric sums (Moscow: Nauka) (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Karatsuba, A.A. Approximation of exponential sums by shorter ones. Proc. Indian Acad. Sci. (Math. Sci.) 97, 167–178 (1987). https://doi.org/10.1007/BF02837821
Issue Date:
DOI: https://doi.org/10.1007/BF02837821