# On the Computation of the Class Numbers of Real

@inproceedings{Hakkarainen2007OnTC, title={On the Computation of the Class Numbers of Real}, author={Tuomas Hakkarainen}, year={2007} }

Acknowledgements I wish to express my sincere gratitude to my supervisor, Professor Tauno Metsänkylä, for his continuous support during this work. Without his excellent guidance and broad knowledge, this thesis would not have been possible. I am very grateful to Professors Radan Kučera and Horst-Günter Zimmer for reviewing the thesis manuscript and for their invaluable suggestions and remarks. I thank the Department of Mathematics and Turku Centre of Computer Science TUCS for providing…

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## 2 Citations

Class Numbers of Real Cyclotomic Fields of Conductor pq

- Mathematics
- 2009

This paper applies their algorithm to real cyclotomic fields of conductor and calculates the full order of the $l$-part of $h^{+}$ for all odd primes, and does not exclude the primes dividing the orders of the Galois group in contrast to other methods.

On the computation of class numbers of real abelian fields

- MathematicsMath. Comput.
- 2009

A procedure to search for prime divisors of class numbers of real abelian fields and a table of odd primes < 10000 not dividing the degree that divide the classNumbers of fields of conductor < 2000 are given.

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