## 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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