Galois Theory and Modular Forms

Author:   Ki-ichiro Hashimoto ,  Katsuya Miyake ,  Hiroaki Nakamura
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2004
Volume:   11
ISBN:  

9781461379607


Pages:   394
Publication Date:   21 September 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Galois Theory and Modular Forms


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Author:   Ki-ichiro Hashimoto ,  Katsuya Miyake ,  Hiroaki Nakamura
Publisher:   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:  

9781461379607


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I. 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.

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