Add to ORKGβ denote the zeros of x2 −√Rx+Q. In 1930, D. H. Lehmer [4] extended the arithmetic theory of Lucas se-quences by defining un = (αn − βn)/(α − β) and vn = αn+ βn for n ≥ 0. If R is a perfect square, {un} and {vn} are Lucas sequences and “associated
A Lucas sequence is a binary recurrence sequences that includes as special cases, the Pell, the asso...
We develop a general framework for finding all perfect powers in sequences derived via shifting non-...
The conjecture of Lehmer is proved to be true. The proof mainly relies upon: (i) the properties of t...
AbstractLet P and Q be non-zero integers. The Lucas sequence {Un(P,Q)} is defined by U0=0, U1=1, Un=...
in the case of negative discriminant in arithmetic progressions by A. Rotkiewicz (Warszawa) 1. The L...
Let P and Q be non-zero integers. The Lucas sequence {Un(P,Q)} is defined by U0 = 0, U1 = 1, Un = PU...
In this paper, we define a Lucas-Lehmer type sequence denoted by (L-n)(n=0)(infinity), and show that...
We investigate the distribution of zeros of the Lerch transcendent function We find an upper an...
AbstractLet {an}n = 0∞ be an integer sequence defined by the non-degenerate binary linear recurrence...
The Lucas-Lehmer (LL) test is the most efficient known for testing the primality of Mersenne numbers...
AbstractLet P and Q be non-zero relatively prime integers. The Lucas sequence {Un(P,Q)} is defined b...
AbstractLet {Un(P, Q)} and {Vn(P, Q)} denote the Lucas sequence and companion Lucas sequence, respec...
Abstract. We investigate the distribution of zeros of the Lerch transcendent func-tion Φ(q, s, α) = ...
The aim of this thesis is to explain quadratic number field theory and prove correctness of the Luca...
In this article we build on the work of Schinzel \cite{schinzelI}, and prove that if $n>4$, $n\neq 6...
A Lucas sequence is a binary recurrence sequences that includes as special cases, the Pell, the asso...
We develop a general framework for finding all perfect powers in sequences derived via shifting non-...
The conjecture of Lehmer is proved to be true. The proof mainly relies upon: (i) the properties of t...
AbstractLet P and Q be non-zero integers. The Lucas sequence {Un(P,Q)} is defined by U0=0, U1=1, Un=...
in the case of negative discriminant in arithmetic progressions by A. Rotkiewicz (Warszawa) 1. The L...
Let P and Q be non-zero integers. The Lucas sequence {Un(P,Q)} is defined by U0 = 0, U1 = 1, Un = PU...
In this paper, we define a Lucas-Lehmer type sequence denoted by (L-n)(n=0)(infinity), and show that...
We investigate the distribution of zeros of the Lerch transcendent function We find an upper an...
AbstractLet {an}n = 0∞ be an integer sequence defined by the non-degenerate binary linear recurrence...
The Lucas-Lehmer (LL) test is the most efficient known for testing the primality of Mersenne numbers...
AbstractLet P and Q be non-zero relatively prime integers. The Lucas sequence {Un(P,Q)} is defined b...
AbstractLet {Un(P, Q)} and {Vn(P, Q)} denote the Lucas sequence and companion Lucas sequence, respec...
Abstract. We investigate the distribution of zeros of the Lerch transcendent func-tion Φ(q, s, α) = ...
The aim of this thesis is to explain quadratic number field theory and prove correctness of the Luca...
In this article we build on the work of Schinzel \cite{schinzelI}, and prove that if $n>4$, $n\neq 6...
A Lucas sequence is a binary recurrence sequences that includes as special cases, the Pell, the asso...
We develop a general framework for finding all perfect powers in sequences derived via shifting non-...
The conjecture of Lehmer is proved to be true. The proof mainly relies upon: (i) the properties of t...