Abstract
Let f be a cuspidal eigenform of weight 2k - 2 ≥ 2 and level 1. Suppose p is an ordinary prime for f and Vf is the p-adic representation of weight 2k - 3 associated to f. We show that if the zeta function of f vanishes at s = k - 1 to odd order, then the Selmer group Hf1 (ℚ Vf (k - 1)) is infinite.
Original language | English (US) |
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Pages (from-to) | 581-586 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 335 |
Issue number | 7 |
DOIs | |
State | Published - Oct 1 2002 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics