AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. We determine the cyclotomic numbers of order e over GF(q) for the case where −1 is a power of p modulo e. In this case most of the cyclotomic numbers are equal. We also prove a theorem about difference sets
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractThis is the second paper of both authors on the subject indicated in the title. Cyclotomic s...
the rational number field by Q, and its subring of all rational integers by Z. All algebraic quantit...
AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. W...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractWe introduce a new kind of cyclotomy over a cartesian product R of finitely many finite fiel...
AbstractLet p be a prime, pα=ef+1 and suppose that x is a generator of GF(pα). Then the cyclotomic n...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
AbstractIn the first part of the paper we show how to construct real cyclotomic fields with large cl...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
AbstractWe revisit the old idea of constructing difference sets from cyclotomic classes. Two constru...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractWe study Galois relations between certain sets of cyclotomic numbers in real abelian fields....
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and ...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractThis is the second paper of both authors on the subject indicated in the title. Cyclotomic s...
the rational number field by Q, and its subring of all rational integers by Z. All algebraic quantit...
AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. W...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractWe introduce a new kind of cyclotomy over a cartesian product R of finitely many finite fiel...
AbstractLet p be a prime, pα=ef+1 and suppose that x is a generator of GF(pα). Then the cyclotomic n...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
AbstractIn the first part of the paper we show how to construct real cyclotomic fields with large cl...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
AbstractWe revisit the old idea of constructing difference sets from cyclotomic classes. Two constru...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractWe study Galois relations between certain sets of cyclotomic numbers in real abelian fields....
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and ...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractThis is the second paper of both authors on the subject indicated in the title. Cyclotomic s...
the rational number field by Q, and its subring of all rational integers by Z. All algebraic quantit...
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