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Titlebook: Women in Numbers Europe II; Contributions to Num Irene I. Bouw,Ekin Ozman,Rachel Newton Conference proceedings 2018 The Author(s) and the A

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,On Birch and Swinnerton-Dyer’s Cubic Surfaces,ondence between this failure and the Brauer–Manin obstruction, recently discovered by Manin. We extend their work to show that a larger set of cubic surfaces has a Brauer–Manin obstruction to the Hasse principle, thus verifying the Colliot-Thélène–Sansuc conjecture for infinitely many cubic surfaces
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Conference proceedings 2018mber theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic
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Lower Bounds for Heights in Relative Galois Extensions,., depending on the degree of . and the number of conjugates of . which are multiplicatively independent over .. As a consequence, we obtain a height bound for such . that is independent of the multiplicative independence condition.
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On the Carlitz Rank of Permutation Polynomials Over Finite Fields: Recent Developments, problem to the well-known Chowla–Zassenhaus conjecture is described. We also present some initial observations on the iterations of a permutation polynomial . and hence on the order of . as an element of the symmetric group ...
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,On Birch and Swinnerton-Dyer’s Cubic Surfaces,ondence between this failure and the Brauer–Manin obstruction, recently discovered by Manin. We extend their work to show that a larger set of cubic surfaces has a Brauer–Manin obstruction to the Hasse principle, thus verifying the Colliot-Thélène–Sansuc conjecture for infinitely many cubic surfaces.
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Women in Numbers Europe II978-3-319-74998-3Series ISSN 2364-5733 Series E-ISSN 2364-5741
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