Results 11 to 20 of about 11,330 (177)
Ordinary cyclotomic function fields
Journal of Number Theory, 2013 Let \({\mathbb F}_q\) be the field with \(q\) elements and of characteristic \(p\). Let \(k={\mathbb F}_q(T)\) be a rational function field over \({\mathbb F}_q\) and let \(R_T={\mathbb F}_q[T]\) be the polynomial ring. For a monic polynomial \(M\in R_T\), let \(k(\Lambda_M)\) and \(k(\Lambda_M)^+\) be the \(M\)-th cyclotomic function and, its maximal ...
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Cyclotomic splitting fields [PDF]
Proceedings of the American Mathematical Society, 1970 Suppose k is an algebraic nunmber field and D a finite- dimensional central division algebra over k. It is well known that D has infinitely many maximal subfields which are cyclic exten- sions of k. From the point of view of group representations, how- ever, the natural splitting fields are the cyclotomnic ones.
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IEEE Access, 2022 Frequency-hopping sequences (FHSs) have been widely applied in frequency-hopping code-division multiple-access (FH-CDMA) systems, since they can be used for transmitting messages efficiently along with switching frequencies at set intervals by each ...
Shanding Xu, Jiafu Mi
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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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Mathematics, 2021 In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to ...
Santiago Molina
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Remarks on a cyclotomic sequence [PDF]
, 2008 We analyse a binary cyclotomic sequence constructed via generalized cyclotomic classes by Bai et al. (IEEE Trans Inforem Theory 51: 1849-1853, 2005).
Meidl, Wilfried
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Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields
Open Mathematics, 2020 In 2006, Hubert, Mauduit and Sárközy extended the notion of binary sequences to n-dimensional binary lattices and introduced the measures of pseudorandomness of binary lattices.
Chen Xiaolin
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On Values of Cyclotomic Polynomials. V [PDF]
, 2003 In this paper, we present three results on cyclotomic polynomials. First, we present results about factorization of cyclotomic polynomials over arbitrary fields K.
Motose, Kaoru
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Vanishing of eigenspaces and cyclotomic fields [PDF]
, 2004 We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e_{(p+1)/2} of the p-Sylow subgroup of the ideal class group of \mathbb Q(\zeta_{p}) is trivial.Comment: 6 pages, minor ...
Osburn, Robert
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Determination of Some Properly Irregular Cyclotomic Fields. [PDF]
Proc Natl Acad Sci U S A, 1930 Stafford ET, Vandiver HS.
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