«CYCLOTOMIC»に関連する英語の本
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1
Introduction to
Cyclotomic Fields
Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature.
Lawrence C. Washington, 1997
2
Cyclotomic Fields and Zeta Values
Cyclotomic fields have always occupied a central place in number theory, and the so called 'main conjecture' on cyclotomic fields is arguably the deepest and most beautiful theorem known about them.
John Coates, R. Sujatha, 2006
3
Cyclotomic Fields I and II
Combining the works previously published as Cyclotomic Fields, V. I & II, this book introduces these number fields, which are of great interest in classical number theory and other areas such as K-theory.
4
Characters and
Cyclotomic Fields in Finite Geometry
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects.
5
On the Index of
Cyclotomic Units
We base our investigation on the work of Greither and Kuccera which provides a minimal generating set for such a subgroup.
6
Blocks and Families for
Cyclotomic Hecke Algebras
This book contains a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Cli?ord theory.
7
On the Coefficients of
Cyclotomic Polynomials
[Ba] P.T. Bateman, Note on the coefficients of the cyclotomic polynomials, Bull.
Amer. Math. Soc. 55 (1949), 1180-1181. [BPV] P.T. Bateman, C. Pomerance and
R.C. Vaughan, On the size of the coefficients of the cyclotomic polynomial, ...
8
Symbolic and Algebraic Computation: International Symposium ...
The first method uses the fact that all the roots of a cyclotomic polynomial are
roots of unity, and the second the fact that the degree of a cyclotomic polynomial
is a value of <£(n), for some n. We can also find the cyclotomic factors of any ...
9
Classical Theory of Arithmetic Functions
1NTRODUCT1ON Cyclotomic polynomials arise in the context of finite
extensions of the field Q of rational numbers. A complex number C satisfying Cn
= 1, is an nth root of unity, The polynomial xn - 1 has exactly n zeros in C, the field
of ...
10
Number Theory in Function Fields
In the last chapter we explored the arithmetic of constant field extensions and
noted (as was pointed out by Iwasawa) that these extensions can be thought of
as function field analogues of cyclotomic extensions of number fields. This
analogy ...
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23 Mathematical Challenges And YOU
The first prime P for which unique factorization of cyclotomic integers based on the Pth root of unity breaks down. It's also the number of ... «Armed with Science, 8月 12»
