Incomplete higher-order Gauss sums

DOI10.1016/S0022-247X(03)00125-2zbMath1028.11047OpenAlexW2129442338MaRDI QIDQ1399334

Bennet Yee, Marvin Minei, Ronald J. Evans

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00125-2

zbMATH Keywords

asymptotic expansionsgraphsexponential sumEuler numbersSpringer numbersspiralsincomplete Gauss sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (10)

Short incomplete Gauss sums and rational points on metaplectic horocycles ⋮ THE VALUE DISTRIBUTION OF INCOMPLETE GAUSS SUMS ⋮ Van der Corput method and optical illusions ⋮ 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 ⋮ Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals ⋮ An asymptotic expansion for the generalised quadratic Gauss sum revisited ⋮ Classical simulation of quantum circuits by half Gauss sums

Cites Work

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• The graphs of exponential sums
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• Asymptotic expansions of finite theta series
• Incomplete Gauss sums
• The approximate functional formula for the theta function and Diophantine Gauss sums
• Derivative Polynomials for Tangent and Secant
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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