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Ranks in Families of Jacobian Varieties of Twisted Fermat Curves

Published online by Cambridge University Press:  20 November 2018

Andrzej Dąbrowski
Affiliation:
University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70-451 Szczecin, Poland e-mail: [email protected] e-mail: [email protected]
Tomasz Jędrzejak
Affiliation:
University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70-451 Szczecin, Poland e-mail: [email protected] e-mail: [email protected]
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Abstract

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In this paper, we prove that the unboundedness of ranks in families of Jacobian varieties of twisted Fermat curves is equivalent to the divergence of certain infinite series.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2010

References

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