7 papers · 1 filter
Explicit Burgess inequalities for cubefree moduli
Elchin Hasanalizade, Hua Lin, Greg Martin +2
Burgess proved that for a primitive Dirichlet character modulo with cubefree, for al…
Sums of Fibonacci numbers close to a power of 2
Elchin Hasanalizade
In this paper, we find all sums of two Fibonacci numbers which are close to a power of 2. As a corollary, we also determine all Lucas numbers close to a power of 2. The main tools…
On a conjecture of Deaconescu
Elchin Hasanalizade
In 2000 Deaconescu raised a question whether there exists a composite for which , where is Euler's function and is Schemmel's totient function. I…
Remark on a paper by Wu
Elchin Hasanalizade
In this short note, we give an affirmative answer to Wu's conjecture on practical numbers, which was posed in [X.-H. Wu, {\it Special forms and the distribution of practical number…
On near-perfect numbers of special forms
Elchin Hasanalizade
In this paper we discuss near-perfect numbers of various forms. In particular, we study the existence of near-perfect numbers in the Fibonacci and Lucas sequences, near-perfect val…
Counting zeros of the Riemann zeta function
Elchin Hasanalizade, Quanli Shen, Peng-Jie Wong
In this article, we show that where denotes the n…