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OverviewFull Product DetailsAuthor: Ki-ichiro Hashimoto , Katsuya Miyake , Hiroaki NakamuraPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of the original 1st ed. 2004 Volume: 11 Dimensions: Width: 15.50cm , Height: 2.10cm , Length: 23.50cm Weight: 0.618kg ISBN: 9781461379607ISBN 10: 1461379601 Pages: 394 Publication Date: 21 September 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsI. Arithmetic geometry.- The arithmetic of Weierstrass points on modular curves X0(p).- Semistable abelian varieties with small division fields.- Q-curves with rational j-invariants and jacobian surfaces of GL2-type.- Points defined over cyclic quartic extensions on an elliptic curve and generalized Kummer surfaces.- The absolute anabelian geometry of hyperbolic curves.- II. Galois groups and Galois extensions.- Regular Galois realizations of PSL2(p2) over ?(T).- Middle convolution and Galois realizations.- On the essential dimension of p-groups.- Explicit constructions of generic polynomials for some elementary groups.- On dihedral extensions and Frobenius extensions.- On the non-existence of certain Galois extensions.- Frobenius modules and Galois groups.- III. Algebraic number theory.- On quadratic number fields each having an unramified extension which properly contains the Hilbert class field of its genus field.- Distribution of units of an algebraic number field.- On capitulation problem for 3-manifolds.- On the Iwasawa ?-invariant of the cyclotomic ?p-extension of certain quartic fields.- IV. Modular forms and arithmetic functions.- Quasimodular solutions of a differential equation of hypergeometric type.- Special values of the standard zeta functions.- p-adic properties of values of the modular j-function.- Thompson series and Ramanujan’s identities.- Generalized Rademacher functions and some congruence properties.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |