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On a definite integral of the fractional part function

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In this section of Resonance, we invite readers to pose questions likely to be raised in a classroom situation.Wemay suggest strategies for dealingwith them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science.

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Suggested Reading

  1. G F B Riemann, Uber die Anzahl derPrimzahlen unter einer gegebenen Grosse. Monatsber. Königl. Preuss. Akad.Wiss. Berlin, pp.671–680, November, 1859. Reprinted in Das Kontinuum und An-dere Monographen, Edited by HWeyl, Chelsea, New York, 1972.

  2. Eric W Weisstein, Fractional Part, From MathWorld — A Wolfram Web Resource, http://mathworld.wolfram.com/FractionalPart.html

  3. E C Titchmarsh, The Theory of the Riemann Zeta Function, pp.13–15, 2nd ed. Clarendon Press, New York, 1987.

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Correspondence to Koundinya Vajjha.

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Vajjha, K. On a definite integral of the fractional part function. Reson 17, 493–496 (2012). https://doi.org/10.1007/s12045-012-0053-4

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