Moments and asymptotic expansion of derangement polynomials in terms of Touchard polynomials

Inequalities for the arithmetic mean of the first n prime numbers

On a number theoretic inequality of Ramanujan

Proof without words: a lower bound for n!

Some inequalities related to the power exponential function a^{rb}+b^{ra}

On the antiderivatives of a monotone function and its inverse

Proof Without Words: An inverse tangent inequality

Some results on derangement polynomials

On a question of Luca and Schinzel over Segal–Piatetski-Shapiro sequences

Some identities involving inverse trigonometric functions without the zero derivative theorem

On the geometric mean of the values of positive multiplicative arithmetical functions

On a determinant involving the volume of the unit ball in R^n

The Number Theoretic Omega Function and Summations Involving the Exponents of Prime Numbers in the Factorization of Factorials

Asymptotic expansion of a sequence related to the number e and its application in analytical counting of the number of paths in complete graph

Observations on a proof without words

‎A remark on the factorization of factorials

What is the probability that two arbitrary natural numbers have no common factor?

Remarks on Ramanujan's inequality concerning the prime counting function

Density modulo 1 of some sequences associated to the functions $\varphi$ and $\sigma$

Conditional 2by2 matrices with three prime elements and given determinant

Legendre and factorization of factorials

Proof without words

On the asymptotic expansion of a generalized Smith's determinant

Carleman's inequality over prime numbers

Refinements of the Arithmetic - Geometric Mean Inequality Associated With the Number e

Maclaurin series by integration

On a difference concerning the number e and summation identities of permutations

The Beauties of Prime Numbers

On the Sums Running over Reduced Residue Classes Evaluated at Polynomial Arguments

‎Derangements and alternating sum of permutations by integration

On a Sequence Refning Carleman's Inequality

Tests for divisibility by prime numbers

Carleman's inequality over the values of Euler function and sum of divisors function

On the Means of the Values of Prime Counting Function

Asymptotic Expansions for the Average of the Generalized Omega Function

A remark on the number of distinct prime divisors of integers

A Remark on the means of the number of divisors

Restricted factorial and a remark on the reduced residue classes

On the difference of the number-theoretic omega functions

Probability: A metter of life and death

Explicit Approximation Of The Sums Over The Imaginary Part Of The Non-Trivial Zeros Of The Riemann Zeta Function

Sharp bounds for the constant e

On a sequence related to the coprime integers

Empty place of the number e in high school books

On the arithmetic-geometric means of positive integers and the number e

Identities for the volume of the unit Hyperspheres

Generalizations Of An Inequality Of Ramanujan Concerning Prime Counting Function

ON THE ARITHMETIC–GEOMETRICMEAN INEQUALITY

Analytic Number Theory

A Remark on the Linear Congruences

A Remark on the Arithmetic Mean of Prime Numbers

Analysing an inequality of Ramanujan concerning prime counting function

Remarks on the portion of primes in intervals with similar length

Remarks on a new proof of irrationality of e and some applications

Remarks on the truncated Wallis product

Some remarks on the logarithmic concavity of the volume of ‎unit hyperball

Asymptotic expansion of the number of derangements in terms of Bell numbers

An Expansion for the Prime Counting Function

On a Weighted Asymptotic Expansion Concerning Prime Counting Function and Applications to Landau's and Ramanujan's Inequalities

A remark on Smith’s determinant

Conditional square matrices of order 2 with given determinant

On the distribution of the non-trivial zeros of the Riemann zeta function

Uniform distribution of the non-trivial zeros of the Riemann zeta function

Sharp bounds on the number of paths in simple complete graphs

Carleman's inequality over prime numbers

On a function related to the primes counting function

On the geometric mean of the generalized divisor function

A remark on a sum concerning the prime counting function

UNIFORM DISTRIBUTION MODULO ONE OF SOME NUMBER-THEORETIC FUNCTIONS

Beyond the Rational

On the powers of a square matrix of order two and Pell's equation

Some remarks on a determinant related to the prime counting function

A Visual Study of Weyl Sums over nontrivial Zeros of the Riemann Zeta Function

Zeros of the Riemann Zeta Function and Explicit Approximations of the Prime Numbers

Explicit sharp bounds for primes counting function

Why Legendre made a wrong guess about the primes counting function?

Some beauties of the non-real zeros of the Riemann zeta function

Optimal design of channel sections: a mathematical approach

Smith's determinant over multiplicative functions