On the L 1 norm of exponential sums
Pichorides, S. K.
Annales de l'Institut Fourier, Tome 30 (1980), p. 79-89 / Harvested from Numdam
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La norme L 1 d’un polynôme trigonométrique ∑ 1 N a j exp ( in j x), |a j |≥1, dépasse

C( log N)/( log log N)2.

The L 1 norm of a trigonometric polynomial with N non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of C( log N)/( log log N) 2 .

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     author = {Pichorides, S. K.},
     title = {On the $L^1$ norm of exponential sums},
     journal = {Annales de l'Institut Fourier},
     volume = {30},
     year = {1980},
     pages = {79-89},
     doi = {10.5802/aif.785},
     mrnumber = {81j:10058},
     zbl = {0432.42001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1980__30_2_79_0}
}

Pichorides, S. K. On the $L^1$ norm of exponential sums. Annales de l'Institut Fourier, Tome 30 (1980) pp. 79-89. doi : 10.5802/aif.785. http://gdmltest.u-ga.fr/item/AIF_1980__30_2_79_0/

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