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- W1874448908 abstract "An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a product formula, in terms of congruence considerations involving that polynomial, for the size of such an isogeny class. In this paper, we give a new, transparent proof of this formula; it turns out that this product actually computes an adelic orbital integral which visibly counts the desired cardinality. This answers a question posed by N. Katz." @default.
- W1874448908 created "2016-06-24" @default.
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- W1874448908 date "2017-01-01" @default.
- W1874448908 modified "2023-09-27" @default.
- W1874448908 title "Elliptic curves, random matrices and orbital integrals" @default.
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- W1874448908 doi "https://doi.org/10.2140/pjm.2017.286.1" @default.
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