Type: Book
Publication Date: 1989-01-01
Citations: 401
DOI: https://doi.org/10.1007/978-3-663-14060-3
Contents: Heights - Nomalized heights - The Mordell-Weil theorem - Mordell's conjecture - Local calculation of normalized heights - Siegel's method - Baker's method - Hilbert's irreducibility theorem - Construction of Galois extensions - Construction of elliptic curves of large rank - The large sieve - Applications of the large sieve to thin sets.
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