Geodesic
On Lower Bounds for the $L_1$-Norm of Exponential Sums
Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 842-850 
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/
@article{MZM_2000_68_6_a3,
     author = {M. Z. Garaev},
     title = {On {Lower} {Bounds} for the $L_1${-Norm} of {Exponential} {Sums}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2000},
     volume = {68},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper a method for finding lower bounds of the $L_1$-norm of some exponential sums is described.

[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