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Titlebook: Research Directions in Number Theory; Women in Numbers IV Jennifer S. Balakrishnan,Amanda Folsom,Michelle Ma Conference proceedings 2019 Th

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,Dessins D’enfants for Single-Cycle Belyi Maps, Belyi maps and their generating systems to provide explicit equations for two infinite families of dynamical Belyi maps. We complete this picture by describing the dessins d’enfants for these two families.
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978-3-030-19480-2The Author(s) and The Association for Women in Mathematics 2019
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Research Directions in Number Theory978-3-030-19478-9Series ISSN 2364-5733 Series E-ISSN 2364-5741
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Association for Women in Mathematics Serieshttp://image.papertrans.cn/r/image/827754.jpg
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https://doi.org/10.1007/978-3-030-19478-9number theory; women in numbers; arithmetic geometry; arithmetic and non-archimedean dynamical systems;
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Weierstrass Equations for the Elliptic Fibrations of a K3 Surface,We give all Weierstrass equations for the 53 elliptic fibrations of a K3 surface.
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Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points,ians of smooth curves in characteristic .. Under certain congruence conditions on ., these include: the supersingular Newton polygon for each genus . with 4 ≤ . ≤ 11; nine non-supersingular Newton polygons with .-rank 0 with 4 ≤ . ≤ 11; and, for all . ≥ 5, the Newton polygon with .-rank . − 5 having slopes 1∕5 and 4∕5.
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