Abstract
Basing on conjectures given by H. Cohen, H.W. Lenstra, Jr. and J. Martinet [2], [3], [4], [5] concerning the heuristics on class groups of number fields we deduce some quantitative conjectures on the statistical behaviour of orders of the tame kernel $K_{2}\mathcal{O}_{F}$ of the ring $\mathcal{O}_{F}$ of integers of quadratic number fields $F$ of discriminants $D, \vert D \vert \leq x$.
We investigate the number of $D$'s such that for $F = \mathbb{Q}(\sqrt{D})$ the order of $K_{2}\mathcal{O}_{F}$ is divisible by $3$.
Dedication
Dedicated to Włodzimierz Staś on the occasion of his 75th birthday
Citation
Jerzy Browkin. "Tame kernels of quadratic number fields: numerical heuristics." Funct. Approx. Comment. Math. 28 35 - 43, 2000. https://doi.org/10.7169/facm/1538186682
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