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Hypergeometric heritage of W. N. Bailey. (English) Zbl 1426.33001

Summary: We review some of W. N. Bailey’s work on hypergeometric functions that found solid applications in number theory. The text is complemented by Bailey’s letters to Freeman Dyson from the 1940s.

MSC:

33-03 History of special functions
33Cxx Hypergeometric functions
33Dxx Basic hypergeometric functions
11Jxx Diophantine approximation, transcendental number theory
11Mxx Zeta and \(L\)-functions: analytic theory
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