Number Theory

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter 8 in Ramanujan's Lost Notebook, 2013, pp 183-212 from Springer

Abstract: 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.

Keywords: Prime Ideal; Asymptotic Formula; Heuristic Argument; Hurwitz Zeta Function; Lost Notebook (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-4081-9_8

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