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Number Theory

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Ramanujan's Lost Notebook

Abstract

Diverse entries in number theory from the lost notebook are discussed. We observe that Ramanujan discovered Dickman’s function approximately ten years before Dickman published it. An intriguing formula for \(\zeta\left(\frac{1}{2}\right)\)and an ingenious device for solving Euler’s Diophantine equation are highlights.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, PA, USA

    George E. Andrews

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Bruce C. Berndt

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  1. George E. Andrews
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Andrews, G.E., Berndt, B.C. (2013). Number Theory. In: Ramanujan's Lost Notebook. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4081-9_8

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