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Description of  Number Theory Related to Modular Curves (701) (Contemporary Mathematics)

1470419912 pdf After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points of classical modular curves, p-adic point counting on singular super-elliptic curves, a vanishing criterion for Dirichlet series with periodic coefficients, the Sato-Tate conjecture for a Picard curve with a complex multiplication, arithmetic twists with abelian extensions, and transcendental numbers with special values of Dirichlet series. Most of the papers are from a May 2012 conference in Barcelona. Annotation 2018 Ringgold, Inc., Portland, OR (protoview.com)