Abstract
In this note we generalize a theorem of L. G. Schnirelman on the existence of a limit in the minimal diophantic deviations from zero in [a, b], for the case of a continuous function φ(κ) that possesses a finite number of zeros in [a, b]. The quadratic deviation is also considered.
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References
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Bernardo, E.A. Generalization of the theorem of L. G. Schnirelman. J. Anal. Math. 48, 217–224 (1987). https://doi.org/10.1007/BF02790329
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DOI: https://doi.org/10.1007/BF02790329