Compatible families of elliptic type
Complément à : «Sur l’approximation de par des nombres algébriques particuliers»
Complementary equations.
Complementary equations and Wythoff sequences.
Complete arcs arising from a generalization of the Hermitian curve
We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves, which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.
Complete asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type
Complete characterization of substitution invariant Sturmian sequences.
Complete residue systems in the quadratic domain .
Complete residue systems in the ring of matrices of rational integers.
Complete sequences of sets of integer powers
Complete solution of a family of simultaneous Pellian equations
Complete solution of parametrized Thue equations
Complete solution of the cyclotomic problem in for any prime modulus
Complete solution of the Diophantine equation
The triples , , where , satisfy the equation . In this paper it is shown that the same equation has no integer solution with , thus a conjecture put forward by Z. Zhang, J. Luo, P. Z. Yuan (2013) is confirmed.
Complete solutions of a family of cubic Thue equations
In this paper, we use Baker’s method, based on linear forms of logarithms, to solve a family of Thue equations associated with a family of number fields of degree 3. We obtain all solutions to the Thue equationfor .
Complete systems of addition laws on Abelian varieties.
Completely faithful Selmer groups over Kummer extensions.
Completely multiplicative functions arising from simple operations.
Completely normal elements in some finite abelian extensions
We present some completely normal elements in the maximal real subfields of cyclotomic fields over the field of rational numbers, relying on the criterion for normal element developed in [Jung H.Y., Koo J.K., Shin D.H., Normal bases of ray class fields over imaginary quadratic fields, Math. Z., 2012, 271(1–2), 109–116]. And, we further find completely normal elements in certain abelian extensions of modular function fields in terms of Siegel functions.
Completely q-multiplicative functions: the Mellin transform approach