Search Results - "Friesen, Christian"

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  1. 1

    Class group frequencies of real quadratic function fields: The degree 4 case by Friesen, Christian

    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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    Journal Article
  2. 2

    Rational functions over finite fields having continued fraction expansions with linear partial quotients by Friesen, Christian

    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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    Journal Article
  3. 3

    The statistics of continued fractions for polynomials over a finite field by Friesen, Christian, Hensley, Doug

    “…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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    Journal Article
  4. 4

    On Continued Fractions of Given Period by FRIESEN, C

    “…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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    Journal Article
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    CYCLOTOMY OF ORDER 15 OVER GF (P^2), P = 4, 11 (MOD 15) by Friesen, Christian, Muskat, Joseph B., Spearman, Blair K., Williams, Kenneth S.

    “…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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    Journal Article
  7. 7

    Continued fractions and real quadratic function fields by Friesen, Christian

    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
  8. 8

    Remark on the Class Number of$Q(\sqrt{2p})$Modulo 8 for$p \equiv 5 (\operatorname{mod} 8)$a Prime by Williams, Kenneth S., Friesen, Christian

    “…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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    Journal Article
  9. 9

    Remark on the class number of (√2 ) modulo 8 for ≡5( 8) a prime by Williams, Kenneth S., Friesen, Christian

    “…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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    Journal Article
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