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On the asymptotic connection between two exponential sums.

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Publication:1405199
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DOI10.1016/S0377-0427(03)00412-6zbMath1162.11370MaRDI QIDQ1405199

Richard B. Paris

Publication date: 25 August 2003

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


zbMATH Keywords

exponential sumsasymptoticscurlicues


Mathematics Subject Classification ID

Estimates on exponential sums (11L07)


Related Items (5)

The asymptotics of a new exponential sum ⋮ An asymptotic approximation for incomplete Gauss sums. II ⋮ An asymptotic approximation for incomplete Gauss sums ⋮ CURLICUES WITH MEMORY ⋮ Analytic continuation of the3F2hypergeometric series



Cites Work

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  • Disorder, renormalizability, theta functions and Cornu spirals
  • Renormalisation of curlicues
  • Uniform distribution modulo one: a geometrical viewpoint.
  • The determination of Gauss sums
  • Incomplete Gauss sums


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