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Cowan, Alex
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Arithmetic Geometry, Number Theory, and Computation.
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Ranks of Elliptic Curves Over Function Fields
Published online by Cambridge University Press: 01 February 2010
Abstract
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We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology.
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JCM 11 Lauder Appendix 1
Lauder Appendix 1
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JCM 11 Lauder Appendix 2
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JCM 11 Lauder Appendix 3
Lauder Appendix 3
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JCM 11 Lauder Appendix 4
Lauder Appendix 4
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JCM 11 Lauder Appendix 5
Lauder Appendix 5
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JCM 11 Lauder Appendix 6
Lauder Appendix 6
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