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- W3102768003 abstract "Inspired by the invariant of a number field given by its zeta function, we define the notion of {it weak arithmetic equivalence}, and show that under certain ramification hypothesis, this equivalence determines the local root numbers of the number field. This is analogous to a result of Rohrlich on the local root numbers of a rational elliptic curve. Additionally, we prove that for tame non-totally real number fields, the integral trace form is invariant under weak arithmetic equivalence." @default.
- W3102768003 created "2020-11-23" @default.
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- W3102768003 date "2015-03-01" @default.
- W3102768003 modified "2023-10-18" @default.
- W3102768003 title "Weak Arithmetic Equivalence" @default.
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- W3102768003 doi "https://doi.org/10.4153/cmb-2014-036-7" @default.
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