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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A cantor function constructed by continued fractions
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by F. Herzog and B. H. Bissinger PDF
Bull. Amer. Math. Soc. 53 (1947), 104-115
References
    1. F. Bernstein, Über eine Anwendung der Mengenlehre auf ein aus der Theorie der säkularen Störungen herrührendes Problem, Math. Ann. vol. 71 (1912) pp. 417-439. 2. C. Carathéodory, Vorlesungen über reelle Funktionen, Leipzig and Berlin, 1927.
  • R. E. Gilman, A class of functions continuous but not absolutely continuous, Ann. of Math. (2) 33 (1932), no. 3, 433–442. MR 1503068, DOI 10.2307/1968527
  • F. Herzog and B. H. Bissinger, A generalization of Borel’s and F. Bernstein’s theorems on continued fractions, Duke Math. J. 12 (1945), 325–334. MR 12346, DOI 10.1215/S0012-7094-45-01227-0
  • E. Hille and J. D. Tamarkin, Remarks on a Known Example of a Monotone Continuous Function, Amer. Math. Monthly 36 (1929), no. 5, 255–264. MR 1521732, DOI 10.2307/2298506
    • 6. E. W. Hobson, The theory of functions of a real variable, vol. 1, Cambridge, 1927. 7. G. Kowalewski, Grundzüge der Differential- und Integralrechnung, Leipzig and Berlin, 1928. 8. O. Perron, Die Lehre von den Kettenbrüchen, Leipzig and Berlin, 1929.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 53 (1947), 104-115
  • DOI: https://doi.org/10.1090/S0002-9904-1947-08749-8
  • MathSciNet review: 0019695