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Post AgDuh5klEsEl0JEPjs by [email protected] |
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Post #AgDUftJvNfpDLXRhvk by [email protected] |
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There are a lot of deep conjectures about L-functions. For example, there’s … |
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Post #AgDVJAQ9jedzg05ZCq by [email protected] |
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I knew a much simpler definition of L-function... but I had to check that it ma… |
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Post #AgDWQhLFpnFBlBx1aC by [email protected] |
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Knowing the formula for the number of points on our elliptic curve in a finite … |
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Post #AgDZpBc9EWq4SeDmi0 by [email protected] |
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@johncarlosbaez There is a serious difficulty in your definition, that if you h… |
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Post #AgDZpwkbysXGeVXhvU by [email protected] |
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@johncarlosbaez Have you seen "Elliptic Tales" by Avner Ash and Robe… |
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Post #AgDZpworj3wErhX6Ya by [email protected] |
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@marklfilteau - no, I haven't seen it. Do you know if and how they explain… |
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Post #AgDa7TxHmTYAYapg5w by [email protected] |
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@antoinechambertloir - Knowing the problem you point out, I never mentioned ell… |
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Post #AgDbBjL2d1rNNaX8oi by [email protected] |
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@johncarlosbaez they have two chapters (13 - L-Functions, 14 - Surprising Pro… |
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Post #AgDbBjPeLtXvbsgp04 by [email protected] |
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@marklfilteau - okay! I'm curious whether they give the (fairly) simple de… |
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Post #AgDdipYyhoLU9Lxnn6 by [email protected] |
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@johncarlosbaez They do mention "We call a prime p 'good' for C if… |
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Post #AgDdipdaQg22Ne7TyS by [email protected] |
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@marklfilteau - I'll check it out. The "fun" starts when people … |
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Post #AgDl3Ho66Y7rDXjjAO by [email protected] |
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@johncarlosbaez But there are no elliptic curves over Z, at least in the accept… |
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Post #AgDuh5klEsEl0JEPjs by [email protected] |
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@johncarlosbaez Knapp's book on elliptic curves kinda-sorta has your defini… |
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Post #AgE5B4VvPUKXODE61A by [email protected] |
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@antoinechambertloir @johncarlosbaez I think John is just talking about curves … |
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Post #AgE5B4ZpAzRvaJ3D60 by [email protected] |
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@macbro @johncarlosbaez Even that is not enough. You can modify the curve over … |
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Post #AgE5B4e4vAqtnV2bj6 by [email protected] |
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@antoinechambertloir @johncarlosbaez Interesting! You mean there are pairs of c… |
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Post #AgE5B4iKfMFs0h20MC by [email protected] |
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@macbro wrote: "I think John is just talking about curves over Z whose bas… |
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Post #AgE66Z10gArUUhBFHE by [email protected] |
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@johncarlosbaez If we have a Z-isomorphism E -> E' then for any R we obt… |
