Representation of a prime as the sum of squares in a tower of fields.

DOI10.1515/CRLL.1985.361.135zbMath0559.12001OpenAlexW55595135MaRDI QIDQ3347968

Harvey Cohn

Publication date: 1985

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=GDZPPN002202778

zbMATH Keywords

sum of squaresmodular function fieldsHilbert modular functionsdiagonal descentHecke modular functionsrepresentation of prime divisorring class groupstower of fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Primes (11A41) Representation problems (11D85)

Cites Work

• Some examples of Weber-Hecke ring class field theory

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