Results 21 to 30 of about 7,081,606 (216)

Reciprocal relations between cyclotomic fields [PDF]

, 2010
We describe a reciprocity relation between the prime ideal factorization, and related properties, of certain cyclotomic integers of the type ϕn(c−ζm) in the cyclotomic field of the m-th roots of unity and that of the symmetrical elements ϕm(c−ζn) in the ...
Helou, Charles
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Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm

Complexity, 2020
Sequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed.
Pinhui Ke, Yan Zhong, Shengyuan Zhang
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On Improperly Irregular Cyclotomic Fields [PDF]

Proceedings of the National Academy of Sciences, 1941
Not ...
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Normal Supercharacter Theory [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
There are three main constructions of supercharacter theories for a group G. The first, defined by Diaconis and Isaacs, comes from the action of a group A via automorphisms on our given group G.
Farid Aliniaeifard
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CYCLOTOMIC POLYNOMIALS OVER CYCLOTOMIC FIELDS

Communications of the Korean Mathematical Society, 2012
In this paper, we find the minimal polynomial of a primitive root of unity over cyclotomic fields. From this, we factorize cyclotomic polynomials over cyclotomic fields and investigate the coefficients of when 3∤.
Sung-Doo Kim, June-Bok Lee
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Arithmetic of quasi-cyclotomic fields [PDF]

, 2008
We call a quadratic extension of a cyclotomic field a quasi-cyclotomic field if it is non-abelian Galois over the rational number field. In this paper, we study the arithmetic of any quasi-cyclotomic field, including to determine the ring of integers of ...
Yin, Linsheng, Zhang, Chong
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Remarks on cyclotomic and degenerate cyclotomic BMW algebras [PDF]

, 2012
We relate the structure of cyclotomic and degenerate cyclotomic BMW algebras, for arbitrary parameter values, to that for admissible parameter values. In particular, we show that these algebras are cellular.
Goodman, Frederick M.
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Rotated Z^n-Lattices via Real Subfields of Q(\zeta_2r)

Trends in Computational and Applied Mathematics, 2019
A method for constructing rotated Z^n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field Q(\zeta_{2^r}), where r\geq 4 is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously
Antonio A. Andrade, José C. Interlando
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Non-cyclotomic fusion categories [PDF]

, 2016
Etingof, Nikshych and Ostrik asked if every fusion category can be completely defined over a cyclotomic field. We show that this is not the case: in particular, one of the fusion categories coming from the Haagerup subfactor and one coming from the newly
Morrison, Scott, Snyder, Noah
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Field discriminants of cyclotomic period equations [PDF]

, 2020
We show that several orbital equations and orbital clusters of the quadratic (logistic) map coincide surprisingly with cyclotomic period equations, polynomials whose roots are Gaussian periods.
Gallas, J.
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