A matrix paraphrase of cyclotomy
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Displaying 1 – 20 of 33
Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes.
Chamberland, Marc (2003)
Journal of Integer Sequences [electronic only]
Complete solution of the cyclotomic problem in for any prime modulus
S. Katre, A. Rajwade (1985)
Acta Arithmetica
Correction to "Minimal polynomials for Gauss periods with f=2" (Acta Arith. 121 (2006), 233-257)
S. Gurak (2008)
Acta Arithmetica
Cyclotomic numbers of order 2l, l an odd prime
Vinaykumar V. Acharya, S. A. Katre (1995)
Acta Arithmetica
Cyclotomic polynomials with large coefficients
Helmut Maier (1993)
Acta Arithmetica
Cyclotomic properties of the Rudin-Shapiro polynomials.
J. Brillhart, J.S. Lomont, P. Morton (1976)
Journal für die reine und angewandte Mathematik
Cyclotomy of order 15 over , (mod 15).
Friesen, Christian, Muskat, Joseph B., Spearman, Blair K., Williams, Kenneth S. (1986)
International Journal of Mathematics and Mathematical Sciences
Gauss sums for Fq[T].
Dinesh S. Thakur (1988)
Inventiones mathematicae
Gauss Sums of Cubic Characters over , p Odd
Davide Schipani, Michele Elia (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
An elementary approach is shown which derives the values of the Gauss sums over , p odd, of a cubic character. New links between Gauss sums over different field extensions are shown in terms of factorizations of the Gauss sums themselves, which are then revisited in terms of prime ideal decompositions. Interestingly, one of these results gives a representation of primes p of the form 6k+1 by a binary quadratic form in integers of a subfield of the cyclotomic field of the pth roots of unity.
Jacobi sums and cyclotomic numbers for a finite field
J. Parnami, M. Agrawal, A. Rajwade (1982)
Acta Arithmetica
Jacobi sums and cyclotomic numbers of order l²
Devendra Shirolkar, S. A. Katre (2011)
Acta Arithmetica
Jacobi sums over finite fields
Paul van Wamelen (2002)
Acta Arithmetica
Lehmer's semi-symmetric cyclotomic sums
Andrew J.S. Lazarus (1992)
Acta Arithmetica
Lower bounds for the largest prime factor of an odd perfect number which is divisible by a Fermat prime.
N. Robbins (1975)
Journal für die reine und angewandte Mathematik
Minimal polynomials for Gauss periods with f=2
S. Gurak (2006)
Acta Arithmetica
Nonexistence of twentieth power residue difference sets
Ronald Evans (1999)
Acta Arithmetica
Note on a Cubic Character Sum.
Kenneth S. Williams (1975)
Aequationes mathematicae
On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.
D. GOSS (1982)
Mathematische Annalen
On partitions and cyclotomic polynomials.
Robbins, Neville (2000)
Integers
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