Criteria for complex multiplication and transcendence properties of automorphic functions.

DOI10.1515/crll.1995.463.1zbMath0827.11043OpenAlexW3158634971MaRDI QIDQ4837271

Publication date: 2 July 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002212676

zbMATH Keywords

hypergeometric functions transcendence complex multiplication Shimura variety Hilbert modular functions modular functions in several variables

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Modular and automorphic functions (11F03) Complex multiplication and moduli of abelian varieties (11G15) Modular and Shimura varieties (14G35) Algebraic theory of abelian varieties (14K05) Transcendence theory of elliptic and abelian functions (11J89)

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