Search Results - "Friesen, Christian"
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Class group frequencies of real quadratic function fields: The degree 4 case
Published in Mathematics of computation (01-07-2000)“…The distribution of ideal class groups of \mathbb{F}_{q}(T,\sqrt {M(T)}) is examined for degree-four monic polynomials M \in \mathbb{F}_{q}[T] when…”
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Rational functions over finite fields having continued fraction expansions with linear partial quotients
Published in Journal of number theory (01-10-2007)“…Let F be a finite field with q elements and let g be a polynomial in F [ X ] with positive degree less than or equal to q / 2 . We prove that there exists a…”
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The statistics of continued fractions for polynomials over a finite field
Published in Proceedings of the American Mathematical Society (01-09-1996)“…Given a finite field F of order q and polynomials a,b\in F[X] of degrees m<n respectively, there is the continued fraction representation…”
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On Continued Fractions of Given Period
Published in Proceedings of the American Mathematical Society (1988)“…A direct proof is given of the fact that, for any $k \in \mathbf{Z}^+$, there are infinitely many squarefree integers $N$, where the continued fraction…”
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PROBLEMS AND SOLUTIONS
Published in The American mathematical monthly (01-12-2018)Get full text
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CYCLOTOMY OF ORDER 15 OVER GF (P^2), P = 4, 11 (MOD 15)
Published in International Journal of Mathematics and Mathematical Sciences (1986)“…For primes p ≡ 4, 11 (mod 15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p^2)…”
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Continued fractions and real quadratic function fields
Published 01-01-1989“…This thesis concerns itself with the study of real quadratic function fields viewed from the perspective of continued fractions. One of the main results is a…”
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Dissertation -
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Remark on the Class Number of$Q(\sqrt{2p})$Modulo 8 for$p \equiv 5 (\operatorname{mod} 8)$a Prime
Published in Proceedings of the American Mathematical Society (01-02-1985)“…An explicit congruence modulo 8 is given for the class number of the real quadratic field$Q(\sqrt{2p})$, where p is a prime congruent to 5 modulo 8…”
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Remark on the class number of (√2 ) modulo 8 for ≡5( 8) a prime
Published in Proceedings of the American Mathematical Society (01-01-1985)“…An explicit congruence modulo 8 is given for the class number of the real quadratic field Q ( 2 p ) Q(\sqrt {2p} ) , where p p is a prime congruent to 5 modulo…”
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Use of extended Hueckel molecular orbital calculations in determining the position of attack in inner-sphere electron-transfer reactions: x-ray crystal structure of (1,3-diphenylpropane-1,3-dionato)bis(ethylenediamine)cobalt(III)
Published in Inorganic chemistry (01-05-1988)Get full text
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Remark on the Class Number of Q(√2p) Modulo 8 for p ≡5 (mod 8) a Prime
Published in Proceedings of the American Mathematical Society (01-02-1985)Get full text
Journal Article