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41
Knots and Primes : An Introduction to Arithmetic Topology
by
Morishita, Masanori
Published 2024
Springer Nature Singapore
Table of Contents:
“
... – Genus Theory -- Chapter 7. Idelic
Class
Field
Theory
for 3-Manifolds and Number Fields -- Chapter 8...
”
Read Now
42
Helmut Hasse und Emmy Noether : Die Korrespondenz 1925 - 1935
by
Hasse, Helmut
Published 2006
Universitätsverlag Göttingen
“
... and number theory, in particular
class
field
theory
. Details of proofs appear alongside with conjectures...
”
Read Now
43
Représentations de Weil et GL2 - Algèbres de division et GLn : Vers les corps de classes galoisiens I, II
by
Kaise, Tetsuo
Published 1987
Springer Berlin Heidelberg
“
... of
class
field
theory
for the noncommutative case. Part I concentrates on the construction of all...
”
Read Now
44
The Intersection of History and Mathematics
Published 1994
Birkhäuser
Table of Contents:
“
... -- The Establishment of the Takagi-Artin
Class
Field
Theory
-- Where Did Twentieth-Century Mathematics Go Wrong...
”
Read Now
45
Prime Divisors and Noncommutative Valuation Theory
by
Marubayashi, Hidetoshi
,
Van Oystaeyen, Fred
Published 2012
Springer Berlin Heidelberg
“
...Classical valuation theory has applications in number theory and
class
field
theory
as well...
”
Read Now
46
Elliptic Curves. (MN-40), Volume 40
by
Knapp, Anthony W.
Published 1993
Princeton University Press University of Tokyo Press
“
... expanse of mathematics--including
class
field
theory
, arithmetic algebraic geometry, and group...
”
Call Number:
QA567.2.E44
Read Now
47
Complex multiplication
by
Schertz, Reinhard
Published 2010
Cambridge University Press
“
...
field
theory
. The main results are accompanied by numerical examples, equipping any reader with all...
”
Call Number:
QA564
Read Now
48
Advanced Topics in the Arithmetic of Elliptic Curves
by
Silverman, Joseph H.
Published 1994
Springer New York
Table of Contents:
“
.... Rationality Questions -- §3.
Class
Field
Theory
— A Brief Review -- §4. The Hilbert Class Field -- §5...
”
Read Now
49
Number Theory I : Fundamental Problems, Ideas and Theories
by
Manin, Yu. I.
,
Panchishkin, Alexei A.
Published 1995
Springer Berlin Heidelberg
“
... generalizations of
class
field
theory
, recursive computability and links with Diophantine equations...
”
Read Now
50
Algebraic Geometry : Proceedings of the Japan-France Conference held at Tokyo and Kyoto, October 5–14, 1982
Published 1983
Springer Berlin Heidelberg
Table of Contents:
“
... representations p-adiques --
Class
field
theory
and algebraic K-theory -- Geometrie microlocale -- Vanishing cycle...
”
Read Now
51
Non-abelian fundamental groups in Iwasawa theory
Published 2011
Cambridge University Press
“
... different special reciprocity laws of abelian
class
field
theory
were formulated before knowledge...
”
Call Number:
QA247
Read Now
52
Catalan's Conjecture
by
Schoof, René
Published 2008
Springer London
“
... and to keep the text self-contained. Only in the proof of Thaine’s theorem is a little
class
field
theory
used...
”
Read Now
53
Elementary and Analytic Theory of Algebraic Numbers
by
Narkiewicz, Wladyslaw
Published 2004
Springer Berlin Heidelberg
“
...
class
-
field
theory
and its consequences. There are many ways to develop this subject; the latest trend...
”
Read Now
54
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
by
Harris, Michael
,
Taylor, Richard
Published 2002
Princeton University Press
“
...'s 1969 Washington lecture as a non-abelian generalization of local
class
field
theory
. The local...
”
Read Now
55
Noncommutative Geometry and Number Theory : Where Arithmetic meets Geometry and Physics
Published 2006
Vieweg+Teubner Verlag
“
... on classical topics of number theory and arithmetic such as modular forms,
class
field
theory
, the theory...
”
Read Now
56
Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories
by
Manin, Yu. I.
,
Panchishkin, Alexei A.
Published 2005
Springer Berlin Heidelberg
“
... of
class
field
theory
, recursive computability and Diophantine equations, zeta- and L-functions...
”
Read Now
57
Algebra : Volume I: Fields and Galois Theory
by
Lorenz, Falko
Published 2006
Springer New York
“
... of Witt vectors, the Schur group of a field, and local
class
field
theory
. Both volumes contain numerous...
”
Read Now
58
Emmy Noether – Mathematician Extraordinaire
by
Rowe, David E.
Published 2021
Springer International Publishing
“
... with Taussky’s approach to classical
class
field
theory
during a difficult time when both were trying to find...
”
Read Now
59
An Introduction to the Langlands Program
Published 2004
Birkhäuser
“
...-functions,
class
field
theory
and some topics on classical automorphic functions (E. Kowalski) • A study...
”
Read Now
60
The Theory of Algebraic Number Fields
by
Hilbert, David
Published 1998
Springer Berlin Heidelberg
“
... of abelian fields and
class
field
theory
. David Hilbert (1862-1943) made great contributions to many areas...
”
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