This article is cited in 6 scientific papers (total in 6 papers)
Estimate of a complete rational trigonometric su
V. I. Nechaev V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR,
Abstract:
Supposef is a polynomial of degree n ⩾ 3 with integral coefficientsa a 0 , a 1 , … , a n ; q is a natural number; (a 1 , … , a n , q ) = 1 f ( 0 ) = 0 . It is proved that
| q ∑ x = 1 e 2 π i f ( x ) / q | < e 5 n 2 / ln n q 1 − 1 / n .
Received: 03.12.1974
Citation:
V. I. Nechaev, “Estimate of a complete rational trigonometric su”, Mat. Zametki , 17 :6 (1975), 839–849 ; Math. Notes , 17 :6 (1975), 504–511
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https://www.mathnet.ru/eng/mzm7604 https://www.mathnet.ru/eng/mzm/v17/i6/p839
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