The asymptotics of a new exponential sum

DOI10.1016/j.cam.2008.01.014zbMath1241.11097OpenAlexW2071754992MaRDI QIDQ953395

Richard B. Paris

Publication date: 20 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.014

zbMATH Keywords

Gauss sumexponential sumsasymptoticscurlicues

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gauss and Kloosterman sums; generalizations (11L05) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (1)

CURLICUES WITH MEMORY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Disorder, renormalizability, theta functions and Cornu spirals
• An asymptotic representation for \(\zeta(\frac{1}{2}+it)\)
• Incomplete higher-order Gauss sums
• On the asymptotic connection between two exponential sums.
• An asymptotic approximation for incomplete Gauss sums. II
• The graphs of exponential sums
• Computation of the incomplete gamma function ratios and their inverse
• Renormalisation of curlicues
• Uniform distribution modulo one: a geometrical viewpoint.
• Incomplete Gauss sums
• The Asymptotic Expansion of the Incomplete Gamma Functions

This page was built for publication: The asymptotics of a new exponential sum