Recurrence of the integral of an odd conditionally periodic function
Matematičeskie zametki, Tome 61 (1997) no. 4, pp. 570-577.

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We prove that the integral of a sufficiently smooth odd conditionally periodic function with zero mean and incommensurable frequencies recurs. Furthermore, we obtain the lower and upper bounds for smoothness guaranteeing the recurrence of the integral.
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S. V. Konyagin. Recurrence of the integral of an odd conditionally periodic function. Matematičeskie zametki, Tome 61 (1997) no. 4, pp. 570-577. http://geodesic.mathdoc.fr/item/MZM_1997_61_4_a7/

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