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- W1968000240 abstract "Let F be the rational field or a p-adic field, and let K an algebraic number field over F. If ω1,…, ωn is an integral basis for the ring DL of integers in K, then the quadratic form Q whose matrix is (traceK∥F(ωiωj)) has integral coefficients, and is called an integral trace-form. Q is determined by K up to integral equivalence. The purpose of this paper is to show that the genus of Q determines the ramification of primes in K." @default.
- W1968000240 created "2016-06-24" @default.
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- W1968000240 date "1973-10-01" @default.
- W1968000240 modified "2023-09-23" @default.
- W1968000240 title "The trace-form of an algebraic number field" @default.
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- W1968000240 doi "https://doi.org/10.1016/0022-314x(73)90038-3" @default.
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