Criteria for testing Wall's question
In this paper we find certain equivalent formulations of Wall's question and derive two interesting criteria that can be used to resolve this question for particular primes.
Cyclotomic properties of the Rudin-Shapiro polynomials.
Dedekind sums and power residue symbols
Dedekind-Rademacher sums and lattice points in triangles and tetrahedra
Dedekindsummen mit elliptischen Funktionen.
Definite unimodular lattices having an automorphism of given characteristic polynomial.
Deformations of the Taylor formula.
Der numerische Wert gewisser Reihen.
Determinant Representations of Sequences: A Survey
This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices. Some of these matrices are constructed by homogeneous or nonhomogeneous recurrence relations, and others are constructed by convolution of two sequences. In this article, we will illustrate the idea of these methods by constructing some integer matrices of this...
Determinants and inverses of circulant matrices with complex Fibonacci numbers
Let ℱn = circ (︀F*1 , F*2, . . . , F*n︀ be the n×n circulant matrix associated with complex Fibonacci numbers F*1, F*2, . . . , F*n. In the present paper we calculate the determinant of ℱn in terms of complex Fibonacci numbers. Furthermore, we show that ℱn is invertible and obtain the entries of the inverse of ℱn in terms of complex Fibonacci numbers.
Deux propriétés combinatoires du langage de Lukasiewicz
Die Kombinationen gegebenen Profils. III
Differences of multiple Fibonacci numbers.
Diophantine approximations with Fibonacci numbers
Let be the -th Fibonacci number. Put . We prove that the following inequalities hold for any real :1) ,2) ,3) .These results are the best possible.
Diophantine equations with products of consecutive terms in Lucas sequences II
Diophantine quadruples for squares of Fibonacci and Lucas numbers.
Distribution of irregular prime numbers.
Domino tilings and products of Fibonacci and Pell numbers.
Ein Beitrag zur Arithmetik der Bernoullischen Zahlen imaginär-quadratischer Zahlkörper.
Ein v. Staudt-Clausenscher Satz für periodische Bernoullizahlen.