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From the Ideal Theorem to the class number

Published online by Cambridge University Press:  26 May 2023

Olivier Bordellès*
Affiliation:
Lycée Dupuy, Le Puy-en-Velay, 2, allée de la Combe, Aiguilhe 43000, France

Abstract

In this article, we provide an explicit upper bound for $h_K \mathcal {R}_K d_K^{-1/2}$ which depends on an effective constant in the error term of the Ideal Theorem.

Type
Article
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society

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