# A counterexample to the Gouvêa–Mazur conjecture

@article{Buzzard2003ACT,
title={A counterexample to the Gouv{\^e}a–Mazur conjecture},
author={Kevin Buzzard and Frank Calegari},
journal={Comptes Rendus Mathematique},
year={2003},
volume={338},
pages={751-753}
}
• Published 20 November 2003
• Mathematics
• Comptes Rendus Mathematique
Abstract Gouvea and Mazur made a precise conjecture about slopes of modular forms. Weaker versions of this conjecture were established by Coleman and Wan. In this Note, we exhibit examples contradicting the full conjecture as it currently stands. To cite this article: K. Buzzard, F. Calegari, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
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