Sadegh Nazardonyavi

activity

20122019

most citedSuperabundant numbers, their subsequences and the Riemann hypothesis

26 citations · 33 across the 6 of their papers we have counts for

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math.NT2019

On the equation $ab (ab - 1) - na = Δ^{2}$

Sadegh Nazardonyavi

Let $n$ be a positive integer. We study the diophantine equation $ab (ab - 1) - na = Δ^{2}$ , where $a, b$ are positive integers. We also show that if a system of two congruences is soluble,…

math.NT2013

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 $σ (n) < e^{γ} n lo g lo g n$ for all $n > 5040$ where $σ(n…

math.NT2013★ 2 cited

Sharper estimates for Chebyshev's functions $ϑ$ and $ψ$

Sadegh Nazardonyavi, Semyon Yakubovich

In this article we present some improved results for Chebyshev's functions $ϑ$ and $ψ$ using the new zero-free region obtained by H. Kadiri and the calculated the first $10…

math.NT2012★ 26 cited

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 the equation ab(ab−1)−na=Δ2

Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers

Sharper estimates for Chebyshev's functions ϑ and ψ

Superabundant numbers, their subsequences and the Riemann hypothesis

On the equation $ab (ab - 1) - na = Δ^{2}$

Sharper estimates for Chebyshev's functions $ϑ$ and $ψ$