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On Arithmetically Equivalent Number Fields of Small Degree
Radboud Universiteit
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Radboud Universiteit
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由 W Bosma 著作被引用 32 次 — Arithmetically equivalent number fields have many invariants in common. For instance, they have the same degree, discriminant, signature, Galois clo- sure, ...
On Arithmetically Equivalent Number Fields of Small Degree
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PDF | For each integer n, let \( \mathcal{S}_n \) be the set of all class number quotients h(K)/h(K) for number fields K and K of degree n with the same.
On Arithmetically Equivalent Number Fields of Small Degree
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由 W Bosma 著作2002被引用 32 次 — For each integer n, let be the set of all class number quotients h(K)/h(K) for number fields K and K of degree n with the same zeta-function ...
On Arithmetically Equivalent Number Fields of Small Degree
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We show that two number fields with the same zeta function, and even with isomorphic adele rings, do not necessarily have the same class number.
On Arithmetically Equivalent Number Fields of Small Degree
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TL;DR: In this article, small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace ...
Arithmetically equivalent number fields have approximately ...
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由 F Vermeulen 著作2023被引用 1 次 — Arithmetically equivalent number fields are not necessarily isomorphic, but they always have the same degree, discriminant, signature, Galois closure and more, ...
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Arithmetic Equivalence and Isospectrality
MIT Mathematics
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MIT Mathematics
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由 AV SUTHERLAND 著作被引用 4 次 — ABSTRACT. In these lecture notes we give an introduction to the theory of arithmetic equivalence, a notion originally introduced in a number theoretic ...
Stronger arithmetic equivalence
arXiv
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arXiv
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由 AV Sutherland 著作2021被引用 6 次 — Arithmetically equivalent number fields share many (but not all) arithmetic invariants. Theorem 2.12. Arithmetically equivalent number fields have the same ...
Dedekind zeta function
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In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζ K (s), is a generalization of the Riemann zeta function.
Arithmetically equivalent number fields have approximately ...
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We show that two number fields with the same zeta function, and even with isomorphic adele rings, do not necessarily have the same class number. 33 Citations.
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