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Galois Theory And Modular Forms Book

Galois Theory And Modular Forms
Galois Theory And Modular Forms, , Galois Theory And Modular Forms has a rating of 3.5 stars
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Galois Theory And Modular Forms, , Galois Theory And Modular Forms
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  • Galois Theory And Modular Forms
  • Written by author Ki-Ichiro Hashimoto
  • Published by Springer-Verlag New York, LLC, January 2004
  • Hashimoto (Waseda U., Japan), Miyake (Tokyo Metropolitan U., Japan), and Nakamura (Okayama U., Japan) present a widely focused group of 21 papers from an eponymous international conference held in September of 2001. The papers look at three areas related
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Preface
The arithmetic of Weierstrass points on modular curves X[subscript 0](p)3
Semistable abelian varieties with small division fields13
Q-curves with rational j-invariants and jacobian surfaces of GL[subscript 2]-type39
Points defined over cyclic quartic extensions on an elliptic curve and generalized Kummer surfaces65
The absolute anabelian geometry of hyperbolic curves77
Regular Galois realizations of PSL[subscript 2](p[subscript 2]) over Q(T)125
Middle convolution and Galois realizations143
On the essential dimension of p-groups159
Explicit constructions of generic polynomials for some elementary groups173
On dihedral extensions and Frobenius extensions195
On the non-existence of certain Galois extensions221
Frobenius modules and Galois groups233
On quadratic number fields each having an unramified extension which properly contains the Hilbert class field of its genus field271
Distribution of units of an algebraic number field287
On capitulation problem for 3-manifolds305
On the Iwasawa [mu]-invariant of the cyclotomic Z[subscript p]-extension of certain quartic fields315
Quasimodular solutions of a differential equation of hypergeometric type329
Special values of the standard zeta functions337
p-adic properties of values of the modular j-function357
Thompson series and Ramanujan's identities367
Generalized Rademacher functions and some congruence properties375


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