A note on modular curves and fundamental units of negative norm

Authors

  • Christian Weiß Goethe-Universtität Frankfurt, Institut für Mathematik, Robert-Mayer-Str. 6-8, D-60325 Frankfurt (Main), Germany Author

Keywords:

Hilbert modular surface, fundamental unit

Subjects:

11F41, 11R11

Abstract

We re-prove the fact that the fundamental unit of the ring of integers of a real quadratic number field is of negative normwhenever the discriminant is a prime number congruent to $1 \mod 4$.

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Published

2014-07-15