Vinogradov integral
From Encyclopedia of Mathematics
A multiple integral of the form
 |
where
 |
which is the average value of order 
of the modulus of a trigonometric sum. Vinogradov's theorem on the value of this integral — the theorem about the average — forms the basis of estimates of Weyl sums (cf. Vinogradov method; Vinogradov theorem about the average).
How to Cite This Entry:
Vinogradov integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vinogradov_integral&oldid=17597
Vinogradov integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vinogradov_integral&oldid=17597
This article was adapted from an original article by A.A. Karatsuba (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article