Inequalities involving arithmetic functions
From MaRDI portal
Publication:6660040
DOI10.1007/S10986-024-09655-XMaRDI QIDQ6660040
Publication date: 10 January 2025
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Cites Work
- Estimations of psi function and harmonic numbers
- On a constant related to the prime counting function
- Inequalities for the harmonic numbers
- Sharp bounds for harmonic numbers
- On an inequality of Ramanujan concerning the prime counting function
- Inequalities for the Euler-Mascheroni constant
- Sharp inequalities for the harmonic numbers
- Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann
- Some problems of Partitio numerorum. III: On the expression of a number as a sum of primes.
- Handbuch der Lehre von der Verteilung der Primzahlen. Zweiter Band.
- Explicit estimates of some functions over primes
- Summatory function of the Möbius function. III: Strong effective asymptotic upper bounds
- Inequalities for the gamma and polygamma functions
- Estimates of the \(k\)th prime under the Riemann hypothesis
- Inequalities involving \(\pi (x)\)
- An inequality for the function \(\pi(n)\)
- Explicit estimates for summatory functions linked to the Möbius \(\mu\)-function
- Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
- Explicit bounds for some functions of prime numbers.
- Approximate formulas for some functions of prime numbers
- Remarks on Ramanujan's inequality concerning the prime counting function
- Every integer can be written as a square plus a squarefree
- Some generalizations for a theorem by Landau
- An inequality related to the Hardy-Littlewood conjecture
- On Solving a Curious Inequality of Ramanujan
- New bounds for the prime counting function
- A faster convergence to Euler's constant
- Sharp inequalities for the harmonic numbers
- Extreme values of the Dedekind $\Psi$ function
- Two generalizations of Landau's inequality
- Sharp bounds for the psi function and harmonic numbers
- A Quicker Convergence to Euler's Constant
- Inequalities for σ(n) and φ(n)
- Remarks on an Arithmetic Derivative
- Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
- On π(x + y) ≦π(x) + π(y)
- Handbook of Number Theory I
- Inequalities and Monotonicity properties for some special functions
- Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
- On Chebyshev-Type Inequalities for Primes
- Majorations Explicites Pour le Nombre de Diviseurs de N
- The large sieve
- Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
- Several approximations of π(x)
- An Elementary Problem Equivalent to the Riemann Hypothesis
- Inequalities concerning the function π(x): Applications
- A NEW UPPER BOUND FOR THE SUM OF DIVISORS FUNCTION
- Inequalities for Zero-Balanced Hypergeometric Functions
- From explicit estimates for primes to explicit estimates for the Möbius function
- A hybrid inequality for the number of divisors of an integer
- Inequalities for the arithmetical functions of Euler and Dedekind
- New upper bounds for the number of divisors function
- The error term in the prime number theorem
- New estimates for some functions defined over primes
- Estimates for $\pi(x)$ for large values of $x$ and Ramanujan's prime counting inequality
- 75.9 Euler’s Constant
- On Some Inequalities Concerning π(x)
- 3295. Approximate evaluation of Euler’s constant
- On Ramanujan's prime counting inequality
- Highly composite numbers.
- Über die Verteilung der Primzahlen.
- Updating the error term in the prime number theorem
- Large values of $n/\varphi (n)$ and $\sigma (n)/n$
- Sharper bounds for the error term in the prime number theorem
- On the error term in the explicit formula of Riemann–von Mangoldt
- Some explicit estimates for the error term in the prime number theorem
- On Robin's inequality
- Effective estimates for some functions defined over primes
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
This page was built for publication: Inequalities involving arithmetic functions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6660040)