A counterexample to the Gouvea--Mazur conjecture

Details A counterexample to the Gouvea--Mazur conjecture A counterexample to the Gouvea--Mazur conjecture

2003-11-20

arxiv.org/abs/math/0311361v1

Mathematics

Number Theory

4 pages

Scientific paper

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 explicit examples contradicting the full conjecture as it
currently stands.

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