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Displaying 3361 – 3380 of 16591

Determination of a type of permutation trinomials over finite fields

Xiang-dong Hou (2014)

Acta Arithmetica

Let $f = a x + b x^{q} + x^{2 q - 1} \in_{q} [x]$ . We find explicit conditions on a and b that are necessary and sufficient for f to be a permutation polynomial of $_{q ²}$ . This result allows us to solve a related problem: Let $g_{n, q} \in_{p} [x]$ (n ≥ 0, $p = c h a r_{q}$ ) be the polynomial defined by the functional equation $\sum_{c \in_{q}} {(x + c)}^{n} = g_{n, q} (x^{q} - x)$ . We determine all n of the form $n = q^{α} - q^{β} - 1$ , α > β ≥ 0, for which $g_{n, q}$ is a permutation polynomial of $_{q ²}$ .

Determination of all imaginary abelian sextic number fields with class number ≤ 11

Young-Ho Park, Soun-Hi Kwon (1997)

Acta Arithmetica

Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one

Stéphane Louboutin, Ryotaro Okazaki (1994)

Acta Arithmetica

Determination of all non-quadratic imaginary cyclic number fields of 2-power degree with relative class number ≤ 20

Young-Ho Park, Soun-Hi Kwon (1998)

Acta Arithmetica

Determination of elliptic curves with everywhere good reduction over ℚ(√37)

Takaaki Kagawa (1998)

Acta Arithmetica

Determination of elliptic curves with everywhere good reduction over real quadratic fields ℚ(√(3p))

Takaaki Kagawa (2001)

Acta Arithmetica

Determination of $\sum_{k = 1}^{p - 1} g^{a k ²}$ modulo p

Kenneth S. Williams, Kenneth Hardy (1992)

Acta Arithmetica

Determination of Large Families and Diameter of Equiseparable Trees

Zoran Stanić (2006)

Publications de l'Institut Mathématique

Determination of the imaginary normal octic number fields with class number one which are not CM-fields

Ken Yamamura (1998)

Acta Arithmetica

Determining Integer-Valued Polynomials From Their Image

Vadim Ponomarenko (2010)

Actes des rencontres du CIRM

This note summarizes a presentation made at the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra. All the work behind it is joint with Scott T. Chapman, and will appear in [2]. Let $Int (ℤ)$ represent the ring of polynomials with rational coefficients which are integer-valued at integers. We determine criteria for two such polynomials to have the same image set on $ℤ$ .

Determining Mills' constant and a note on Honaker's problem.

Caldwell, Chris K., Cheng, Yuanyou (2005)

Journal of Integer Sequences [electronic only]

Determining modular forms of general level by central values of convolution L-functions

Yichao Zhang (2011)

Acta Arithmetica

Deux propriétés combinatoires du langage de Lukasiewicz

D. Gouyou-Beauchamps (1975)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Deux propriétés décidables des suites récurrentes linéaires

Jean Berstel, Maurice Mignotte (1976)

Bulletin de la Société Mathématique de France

Développement asymptotique de la somme des inverses d’une fonction arithmétique

Hacène Belbachir, Farid Bencherif (2009)

Annales mathématiques Blaise Pascal

La somme des puissances des inverses de $π (n)$ , $π (x)$ désignant le nombre de nombres premiers n’excédant pas $x$ , a fait l’objet de nombreux travaux. Nous généralisons, dans cet article, les formules asymptotiques obtenues par ces auteurs à toute une classe de fonctions arithmétiques.

Currently displaying 3361 – 3380 of 16591

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Displaying 3361 – 3380 of 16591

Determination of a type of permutation trinomials over finite fields

Determination of all imaginary abelian sextic number fields with class number ≤ 11

Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one

Determination of all non-quadratic imaginary cyclic number fields of 2-power degree with relative class number ≤ 20

Determination of elliptic curves with everywhere good reduction over ℚ(√37)

Determination of elliptic curves with everywhere good reduction over real quadratic fields ℚ(√(3p))

Determination of $\sum_{k = 1}^{p - 1} g^{a k ²}$ modulo p

Determination of Large Families and Diameter of Equiseparable Trees

Determination of the imaginary normal octic number fields with class number one which are not CM-fields

Determining Integer-Valued Polynomials From Their Image

Determining Mills' constant and a note on Honaker's problem.

Determining modular forms of general level by central values of convolution L-functions

Deux propriétés combinatoires du langage de Lukasiewicz

Deux propriétés décidables des suites récurrentes linéaires

Développement asymptotique de la somme des inverses d’une fonction arithmétique

Développement en base $θ$ , répartition modulo un de la suite $(x θ^{n})$ , n $\geq 0$ , langages codés et $θ$ -shift

Développement en fraction continue à l'entier le plus proche, idéaux α-réduits et un problème d'Eisenstein

Développement en fraction continue à l'entier supérieur, idéaux 0-réduits et un problème d'Eisenstein

Développements nouveaux sur quelques propositions de Fermat

Développements sur quelques théorèmes d'arithmétique

Currently displaying 3361 – 3380 of 16591