Article
Upper Bounds for Double Exponential Sums Along a Subsequence
Authors
Abstract
We consider a class of double exponential sums studied in a pa- per of Sinai and Ulcigrai. They proved a linear bound for these sums along the sequence of denominators in the continued fraction expansion of α, provided α is badly-approximable. We provide a proof of a result, which includes a simple proof of their theorem, and which applies for all irrational α.
Keywords
continued fraction, badly-approximable α, double-exponential sum, discrepancy.
Citation
White, C. J. (2017). Upper bounds for double exponential sums along a subsequence. Uniform Distribution Theory, 12(2), 11–24. https://doi.org/10.1515/udt-2017-0012
C. J. White, “Upper bounds for double exponential sums along a subsequence,” Uniform Distribution Theory, vol. 12, no. 2, pp. 11–24, 2017, doi: 10.1515/udt-2017-0012.
White CJ. Upper bounds for double exponential sums along a subsequence. Uniform Distribution Theory. 2017;12(2):11–24. doi:10.1515/udt-2017-0012.
White, C. J. (2017), ‘Upper bounds for double exponential sums along a subsequence’, Uniform Distribution Theory, 12(2), pp. 11–24. Available at: https://doi.org/10.1515/udt-2017-0012.
White, Christopher J. “Upper Bounds for Double Exponential Sums Along a Subsequence.” Uniform Distribution Theory, vol. 12, no. 2, 2017, pp. 11–24. https://doi.org/10.1515/udt-2017-0012.
White, Christopher J. “Upper Bounds for Double Exponential Sums Along a Subsequence.” Uniform Distribution Theory 12, no. 2 (2017): 11–24. https://doi.org/10.1515/udt-2017-0012.
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Published by: Engineering Journals
