scholarly journals An explicit Pólya-Vinogradov inequality via Partial Gaussian sums

2020 ◽  
Vol 373 (9) ◽  
pp. 6503-6527 ◽  
Author(s):  
Matteo Bordignon ◽  
Bryce Kerr
Keyword(s):  
Gaussian Sums

On Functional Properties of Incomplete Gaussian Sums

1991 ◽  
Vol 43 (1) ◽  
pp. 182-212 ◽  
Author(s):  
K. I. Oskolkov
Keyword(s):  
Functional Properties ◽  
Positive Constant ◽  
Absolute Constant ◽  
Special Function ◽  
Absolute Positive Constant ◽  
Image Position ◽  
Gaussian Sums

AbstractThe following special function of two real variables x2 and x1 is considered: and its connections with the incomplete Gaussian sums where ω are intervals of length |ω| ≤1. In particular, it is proved that for each fixed x2 and uniformly in X2 the function H(x2, x1) is of weakly bounded 2-variation in the variable x1 over the period [0, 1]. In terms of the sums W this means that for collections Ω = {ωk}, consisting of nonoverlapping intervals ωk ∪ [0,1) the following estimate is valid: where card denotes the number of elements, and c is an absolute positive constant. The exact value of the best absolute constant к in the estimate (which is due to G. H. Hardy and J. E. Littlewood) is discussed.

Multidimensional Gaussian sums

1982 ◽  
Vol 19 (6) ◽  
pp. 1742-1747
Author(s):  
O. M. Fomenko
Keyword(s):  
Gaussian Sums

Partial Gaussian Sums II

1989 ◽  
Vol 21 (2) ◽  
pp. 153-158 ◽  
Author(s):  
D. A. Burgess
Keyword(s):  
Gaussian Sums

Recursive bayesian estimation using gaussian sums

Automatica ◽  
1971 ◽  
Vol 7 (4) ◽  
pp. 465-479 ◽  
Author(s):  
H.W. Sorenson ◽  
D.L. Alspach
Keyword(s):  
Bayesian Estimation ◽  
Recursive Bayesian Estimation ◽  
Gaussian Sums ◽  
Recursive Bayesian

scholarly journals On Gaussian sums

1969 ◽  
Vol 75 (1) ◽  
pp. 43-46 ◽  
Author(s):  
Takashi Ono
Keyword(s):  
Gaussian Sums
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