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Hyper Geometric Functions, My Love: Modular Interpretations of Configuration Spaces (Aspects of Mathematics) by Masaaki Yoshida

Discriminants, Resultants, and Multidimensional Determinants Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky

I heard a talk by Rivoal a decade back when he had just had his breakthrough concerning irrationality of zeta values. He quoted some very classical but not well-known results and got asked where he learned them. He recommended this book:

Confluent Hypergeometric Functions L. J. Slater