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Everywhere divergent trigonometric series
Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 219-232 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper establishes the existence of everywhere divergent trigonometric series with various kinds of gaps. It is shown, for example, that for every positive integer $\lambda$ there are $r_n\to0$ and $\gamma_n$ such that $\sum_{n=1}^\infty r_n\cos(n^\lambda x-\gamma_n+\varphi)$ diverges tor all $x$ and $\varphi$ in $(-\infty,+\infty)$. Bibliography: 7 titles. 
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     author = {A. S. Belov},
     title = {Everywhere divergent trigonometric series},
     journal = {Sbornik. Mathematics},
     pages = {219--232},
     year = {1971},
     volume = {14},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_14_2_a3/}
}
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A. S. Belov. Everywhere divergent trigonometric series. Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 219-232. http://geodesic.mathdoc.fr/item/SM_1971_14_2_a3/

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