Multi-quadratic $p$-rational Number Fields

Autor: Benmerieme, Youssef, Movahhedi, Abbas

For each odd prime $p$, we prove the existence of infinitely many real quadratic fields which are $p$-rational. Explicit imaginary and real bi-quadratic $p$-rational fields are also given for each prime $p$. Using a recent method developed by Greenbe

Externí odkaz: http://arxiv.org/abs/2007.04864

On universal norms and the first layers of Z_p-extensions of a number field

Autor: Movahhedi, Abbas, Do, Thong Nguyen Quang

For an odd prime p and a number field F containing a primitive p-th root of unity, we describe the Kummer radical A_F of the first layers of all the Z_p-extensions of F in terms of universal norms of p-units along the cyclotomic tower of F . We also

Externí odkaz: http://arxiv.org/abs/1303.0176

Sur les p-extensions des corps p-rationnels

Autor: Movahhedi, Abbas

Th.--Math. théor. des nombres--Paris 7, 1988.

Externí odkaz: http://catalogue.bnf.fr/ark:/12148/cb37616809b

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Bounds for etale capitulation kernels II

Autor: Movahhedi, Abbas C., Asghari-Larimi, Mohsen

Publikováno v: Annales Mathématiques Blaise Pascal
Annales Mathématiques Blaise Pascal, Université Blaise-Pascal-Clermont-Ferrand, 2009, 16 (1), pp.151-163

International audience

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0827c01a0576ddd65fe8c3a41d352d5b
https://hal.archives-ouvertes.fr/hal-00463490