Geodesic
On Zeros of Sums of Cosines
Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 547-551

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that there exist arbitrarily large natural numbers $N$ and distinct nonnegative integers $n_1,\dots,n_N$ for which the number of zeros on $[-\pi,\pi)$ of the trigonometric polynomial $\sum_{j=1}^N \cos(n_j t)$  is  $O(N^{2/3}\log^{2/3} N)$.
Keywords: trigonometric polynomials, Dirichlet kernel. 
@article{MZM_2020_108_4_a5,
     author = {S. V. Konyagin},
     title = {On {Zeros} of {Sums} of {Cosines}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {547--551},
     publisher = {mathdoc},
     volume = {108},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a5/}
}
TY  - JOUR
AU  - S. V. Konyagin
TI  - On Zeros of Sums of Cosines
JO  - Matematičeskie zametki
PY  - 2020
SP  - 547
EP  - 551
VL  - 108
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a5/
LA  - ru
ID  - MZM_2020_108_4_a5
ER  - 
%0 Journal Article
%A S. V. Konyagin
%T On Zeros of Sums of Cosines
%J Matematičeskie zametki
%D 2020
%P 547-551
%V 108
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a5/
%G ru
%F MZM_2020_108_4_a5
S. V. Konyagin. On Zeros of Sums of Cosines. Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 547-551. http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a5/