Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The Hausdorff-Beiscovich dimension of the level sets of Perron’s modular function
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by John R. Kinney and Tom S. Pitcher
Trans. Amer. Math. Soc. 124 (1966), 122-130
DOI: https://doi.org/10.1090/S0002-9947-1966-0197398-3
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References
  • Marshall Hall Jr., On the sum and product of continued fractions, Ann. of Math. (2) 48 (1947), 966–993. MR 22568, DOI 10.2307/1969389
    • V. Jarnik, Zur Metrischen Theorie der Diophantischen Approximationen, Prace Mat. Fix. 36 (1928), 91-106.
  • A. Ya. Khintchine, Continued fractions, P. Noordhoff Ltd., Groningen, 1963. Translated by Peter Wynn. MR 0161834
  • John R. Kinney and Tom S. Pitcher, The dimension of some sets defined in terms of $f$-expansions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 4 (1965/66), 293–315. MR 198515, DOI 10.1007/BF00539116
    • O. Perron, Ăśber die Approximation Irrationaler Zahlen durch Rationale, S.-B. Heidelberger Akad. Wiss. Math. Nat. K1. (1921), 3-17.
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Bibliographic Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 124 (1966), 122-130
  • MSC: Primary 10.33; Secondary 10.09
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0197398-3
  • MathSciNet review: 0197398