On Lower Bounds for the $L_1$-Norm of Exponential Sums
Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 842-850.

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In the paper a method for finding lower bounds of the $L_1$-norm of some exponential sums is described.
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M. Z. Garaev. On Lower Bounds for the $L_1$-Norm of Exponential Sums. Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 842-850. http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a3/

[1] Bochkarev S. V., “Ob odnom metode otsenki $L_1$-normy eksponentsialnoi summy”, Tr. MIAN, 218, Nauka, M., 1997, 74–76 | MR | Zbl

[2] Karatsuba A. A., “Ob otsenke $L_1$-normy odnoi eksponentsialnoi summy”, Matem. zametki, 64:3 (1998), 465–468 | MR | Zbl

[3] Konyagin S. V., “Ob otsenke $L_1$-normy odnoi eksponentsialnoi summy”, Teoriya priblizhenii funktsii i operatorov, Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 80-letiyu so dnya rozhdeniya S. B. Stechkina, Ekaterinburg, 2000, 88–89