A hybrid mean value involving two-term exponential sums and polynomial character sums

DOI10.1007/s10587-014-0082-0zbMath1340.11075OpenAlexW1993066932MaRDI QIDQ2940623

Di Han

Publication date: 27 January 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143948

zbMATH Keywords

asymptotic formulahybrid mean valuetwo-term exponential sumsDirichlet character of polynomials

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Estimates on character sums (11L40)

Related Items (23)

Binomial character sums modulo prime powers ⋮ A certain new Gauss sum and its fourth power mean ⋮ On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo \(p\) ⋮ A certain two-term exponential sum and its fourth power means ⋮ A note on two-term exponential sum and the reciprocal of the quartic Gauss sums ⋮ On the fourth-order linear recurrence formula related to classical Gauss sums ⋮ The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo \(p\) ⋮ The generalized quadratic Gauss sums and its sixth power mean ⋮ Estimations on some hybrid exponential sums related to Kloosterman sums ⋮ On the eighth power mean of the two-term exponential sums ⋮ On the hybrid power mean involving the two-term exponential sums and polynomial character sums ⋮ The hybrid power mean of the quartic Gauss sums and the two-term exponential sums ⋮ On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums ⋮ One kind special Gauss sums and their mean square values ⋮ A new fourth power mean of two-term exponential sums ⋮ On the hybrid power mean of two kind different trigonometric sums ⋮ On the hybrid fourth power mean involving Legendre's symbol and one kind two-term exponential sums ⋮ One-kind hybrid power means of the two-term exponential sums and quartic Gauss sums ⋮ On the character sum of polynomials and the two-term exponential sums ⋮ On the hybrid power mean of two-term exponential sums and cubic Gauss sums ⋮ On the sixth power mean of the two-term exponential sums ⋮ Some new hybrid power mean formulae of trigonometric sums ⋮ On the two-term exponential sums and character sums of polynomials

Cites Work

• Using Stepanov's method for exponential sums involving rational functions
• Upper bounds on a two-term exponential sum
• ON DIRICHLET CHARACTERS OF POLYNOMIAL
• Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
• A further refinement of Mordell's bound on exponential sums
• Pure and mixed exponential sums
• A note on the Dirichlet characters of polynomials
• On Dirichlet Characters of Polynomials
• On Some Exponential Sums
• Bounds for certain exponential sums

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