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Jun 23 |
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Hodgeâ€“Tate structures of modular forms
In the ordinary case, page 164 of Mazur's "Infinite fern" paper sketches a way to see this, provided you already know that the determinant of the representation is $\chi \epsilon_{p}^{k+1}$. |

May 24 |
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Level-Lowering in Weight 2
The assumption that rhobar is finite flat is equivalent to it being peu (and not tres) ramifie |

Apr 11 |
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Bounding a Sum of Adjoint L-Function Values
Thank you! This is probably as good an answer as I'm going to get, but I'm going to wait a day or two before accepting this just in case. |

Apr 14 |
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Algebra and Cancer Research
This is excellent! |

Apr 14 |
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Algebra and Cancer Research
This is exactly the sort of thing I'm looking for. Thank you! |

Apr 14 |
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Algebra and Cancer Research
@PerAlexandersson That sounds interesting. Can you give a reference for further reading? Thanks! |

Feb 21 |
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Elliptic curves over $\mathbb{Q}$ with no rational torsion and $\mu$-invariant equal to 1 at $p=3$
I see now...my mistake! Anyway, this would still be my suggested approach... |

Feb 21 |
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Elliptic curves over $\mathbb{Q}$ with no rational torsion and $\mu$-invariant equal to 1 at $p=3$
Pollack's table claims that $\mu=1$ at $p=3$. |

Jan 9 |
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Are the Fourier coefficients of a new form real
The reference for this is Proposition 3.2 of Ken Ribet's "Galois Representations Attached to Eigenforms with Nebentypus". |

Jul 3 |
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Hecke Characters
Ah, yes, those notes are dealing in a much more general setting (automorphic representations) than the one you care about (elliptic curves). Sorry about that. I don't have time to write something myself at the moment, and in any case, there are people here much more qualified than me to do so. I'm sorry that link wasn't more helpful! |

Jul 3 |
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Hecke Characters
You may find this resource helpful: www2.imperial.ac.uk/~tsg/Index_files/… In particular, see Theorem 2.41 on pg 12. |

May 29 |
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Examples of (Phi,Gamma)-modules
This doesn't really answer your question, but this paper of Laurent Berger is in the right direction: perso.ens-lyon.fr/laurent.berger/articles/article04.pdf |

Jan 30 |
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Research trends in geometry of numbers?
This is not new research in the geometry of numbers, but rather an application of classical results to another classical problem, that of determining primes of the form x^2+ny^2: tcnj.edu/~hagedorn/papers/… |

Jan 24 |
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Digital Copy of Kato's Paper
@YangMills That answers my question. Thank you very much! |

Jan 24 |
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Digital Copy of Kato's Paper
@Franz I'm not sure what you're implying with the "spamming" comment. I think this question is quite reasonable for MO, considering both the importance and scarcity of this paper. Scanning is not really an option since it is a borrowed book and I'm afraid that scanning would do considerable damage to the binding. @Serge Thanks, but I checked there and they don't have it. It's a hard paper to track down. |

Jul 30 |
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Number Fields Arising from Newforms
@Rob: Thank you! This is perfect. |

Jul 30 |
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Number Fields Arising from Newforms
@Kevin Buzzard: Oh! You're absolutely right -- I see on Darmon's website that it was indeed published in 1995. I guess the tex file was recompiled in 2007, leading to the date I cited from this version of the paper: www.math.mcgill.ca/darmon/pub/Articles/Expository/05.DDT/paper.pdf Thanks! |

Jul 30 |
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Number Fields Arising from Newforms
Hi Stopple, good point. It's a bad habit, but in my mind, when I say modular form I (almost) always mean "normalized eigenform", or even just "newform", but certainly the way I stated my question is incorrect. I'll fix my question to make it more precise. Thanks for pointing this out! |

Oct 28 |
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When are roots of power series algebraic?
Rob, this is wonderful...thank you!! |

Oct 24 |
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When are roots of power series algebraic?
@Lubin: This is a great (counter?)example. Thanks for this alternate perspective! |