26 citations · 33 across the 6 of their papers we have counts for
6 papers
On the equation
Sadegh Nazardonyavi
Let be a positive integer. We study the diophantine equation , where are positive integers. We also show that if a system of two congruences is soluble,…
Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers
Sadegh Nazardonyavi, Semyon Yakubovich
Robin's theorem is one of the ingenious reformulation of the Riemann hypothesis (RH). It states that the RH is true if and only if for all where $σ(n…
Sharper estimates for Chebyshev's functions and
Sadegh Nazardonyavi, Semyon Yakubovich
In this article we present some improved results for Chebyshev's functions and using the new zero-free region obtained by H. Kadiri and the calculated the first $10…
Superabundant numbers, their subsequences and the Riemann hypothesis
Sadegh Nazardonyavi, Semyon Yakubovich
Let σ(n) be the sum of divisors of a positive integer n. Robin's theorem states that the Riemann hypothesis is equivalent to the inequality σ(n)<e^γn\log\log n for all n>5040 (γis…
On an inequality for the Riemann zeta-function in the critical strip
Sadegh Nazardonyavi, Semyon Yakubovich
By using new power inequalities we give an elementary proof of an important relation for the Riemann zeta-function |ζ(1-s)| <= |ζ(s)| in the strip 0< Re s<1/2,\ |\Im s| >= 12. More…
Some history about Twin Prime Conjecture
Sadegh Nazardonyavi
This article is a collected information from some books and papers, and in most cases the original sentences is reserved about twin prime conjecture.