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Most cited

This page lists all time most cited articles for this title. Please use the publication date filters on the left if you would like to restrict this list to recently published content, for example to articles published in the last three years. The number of times each article was cited is displayed to the right of its title and can be clicked to access a list of all titles this article has been cited by.

Contents

Page 184 of 184

  • Cited by 1

  • Some Properties of Pure Recurring Decimals

  • J.S. Batty
  • Published online by Cambridge University Press:
    03 November 2016, pp. 90-95

  • The earlier sections of this account are concerned with some standard properties of pure recurring decimals. These include the cyclic property, illustrated for example by the decimals representing the six proper fractions with denominator 7, each of which has a period using a cyclic permutation of the digits 142857 It was a question concerning this property, raised by a student, which led to the writer's interest in the properties considered in the later sections. References are given in Dickson's History of the Theory of Numbers, Vol. I, Ch. 6.

  • Cited by 1
  • Cited by 1

  • A Theorem in Uniform Convergence

  • R. L. Goodstein
  • Published online by Cambridge University Press:
    03 November 2016, pp. 287-290

  • One of the most striking results in the theory of uniform convergence asserts that for a monotonic sequence of continuous functions, continuity of the limit function is a necessary and sufficient condition for uniform convergence. Much has been written about this theorem, but the fact that the proofs given in such works as Bromwich’s Infinite Series and De La Vallée Poussin’s Cours d’Analyse are incomplete, seems to justify the hope that this account may be of some assistance to students and teachers of convergence.

  • Cited by 1
  • Cited by 1
  • Cited by 1
  • Cited by 1

  • A Simple Theory of the Gamma-Function

  • Albebt Eagle
  • Published online by Cambridge University Press:
    03 November 2016, pp. 118-127

  • Introduction. Many students interest themselves in finding a function which is equal to factorial n for integral values of n. There is a certain fascination about this function : it is so different from the transcendental functions of applied mathematics.

  • Cited by 1

Page 184 of 184