Geodesic
On Zeros of Real Trigonometric Sums
Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 792-797 
M. E. Changa. On Zeros of Real Trigonometric Sums. Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 792-797. http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a13/
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     title = {On {Zeros} of {Real} {Trigonometric} {Sums}},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of calculating the number of zeros of a real trigonometric sum of an arbitrary form on a given interval is considered. Upper and lower bounds for this number are obtained by using the argument principle and are illustrated by examples.

[1] Karatsuba A. A., “O nulyakh trigonometricheskikh summ”, Dokl. RAN, 387:1 (2002), 11–12 | MR

[2] Polia G., Sege G., Zadachi i teoremy iz analiza, T. 1, Nauka, M., 1978

[3] Voronin S. M., Karatsuba A. A., Dzeta-funktsiya Rimana, Fizmatlit, M., 1994