On the Bombieri-Korobov estimate for Weyl sums
Scott T. Parsell (2009)
Acta Arithmetica
Similarity:
Displaying similar documents to “Some mean-value theorems for exponential sums”
On the Bombieri-Korobov estimate for Weyl sums
The representation of almost all numbers as sums of unlike powers
M. B. S. Laporta, T. D. Wooley (2001)
Journal de théorie des nombres de Bordeaux
Similarity:
We prove in this article that almost all large integers have a representation as the sum of a cube, a biquadrate, ..., and a tenth power.
Localized solutions in Waring's problem: the lower bound
Dirk Daemen (2010)
Acta Arithmetica
Similarity:
The hybrid mean value of Dedekind sums and two-term exponential sums
Chang Leran, Li Xiaoxue (2016)
Open Mathematics
Similarity:
In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
On the constant factor in Vinogradov's Mean Value Theorem
Géza Kós (2001)
Acta Arithmetica
Similarity:
Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II
Jean-Marc Deshouillers, Henryk Iwaniec (1984)
Acta Arithmetica
Similarity:
Bounds and computational results for exponential sums related to cusp forms
Anne-Maria Ernvall-Hytönen, Arto Lepistö (2009)
Acta Mathematica Universitatis Ostraviensis
Similarity:
The aim of this paper is to present some computer data suggesting the correct size of bounds for exponential sums of Fourier coefficients of holomorphic cusp forms.
On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
Tingting Wang (2012)
Acta Arithmetica
Similarity:
A mean value related to the D. H. Lehmer problem and Kloosterman sums
Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
Similarity:
Central binomial sums, multiple Clausen values, and zeta values.
Borwein, Jonathan Michael, Broadhurst, David J., Kamnitzer, Joel (2001)
Experimental Mathematics
Similarity:
One kind sixth power mean of the three-term exponential sums
Xiaoying Wang, Xiaoxue Li (2017)
Open Mathematics
Similarity:
In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums. As a conclusion, we give an exact computational formula for it.
Corrigendum to "An improvement on Olson's constant for ℤₚ ⊕ ℤₚ" (Acta Arith. 141 (2010), 311-319)
Gautami Bhowmik, Jan-Christoph Schlage-Puchta (2011)
Acta Arithmetica
Similarity: