Zane Kun Li

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and so geomxi is the geometric mean of xi. The goal of this note is to sketch the proof of the following theorem, concentrating on the iteration scheme from [4] in the two dimensional case. This justifies (19) of [4] without an appeal to [1]. We also include some routine applications of Hölder, Minkowski, etc. that are omitted from [4] for completeness. We(More)
In 1972, Serre showed that the adelic Galois representation associated to a non-CM elliptic curve over a number field has open image in GL2(Ẑ). In [Gre10], Greicius develops necessary and sufficient criteria for determining when this representation is actually surjective and exhibits such an example. However, verifying these criteria turns out to be(More)
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