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Your search keyword '"Primary 14D10, Secondary 11G35, 11G40, 14G25, 14J27"' showing total 2 results
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2 results on '"Primary 14D10, Secondary 11G35, 11G40, 14G25, 14J27"'

1. The Sato-Tate conjecture and Nagao's conjecture

Author

Kim, Seoyoung

Subjects
Mathematics - Number Theory, Primary 14D10, Secondary 11G35, 11G40, 14G25, 14J27
Abstract

Nagao's conjecture relates the rank of an elliptic surface to a limit formula arising from a weighted average of fibral Frobenius traces, and it is further generalized for smooth irreducible projective surfaces by M. Hindry and A. Pacheco. We show that the Sato-Tate conjecture based on the random matrix model implies Nagao's conjecture for certain twist families of elliptic curves and hyperelliptic curves.

Published
2017

2. The Sato-Tate conjecture and Nagao's conjecture

Author

Seoyoung Kim

Subjects
Algebra and Number Theory, Mathematics - Number Theory, Mathematics::Number Theory, FOS: Mathematics, Primary 14D10, Secondary 11G35, 11G40, 14G25, 14J27, Number Theory (math.NT)
Abstract

Nagao's conjecture relates the rank of an elliptic surface to a limit formula arising from a weighted average of fibral Frobenius traces, and it is further generalized for smooth irreducible projective surfaces by M. Hindry and A. Pacheco. We show that the Sato-Tate conjecture based on the random matrix model implies Nagao's conjecture for certain twist families of elliptic curves and hyperelliptic curves.

Published
2023
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