The Classical Smarandache Function and a Formula for Twin Primes

The Classification Theorem for Compact Surfaces And A Detour On Fractals

The Collatz 3n+1 Conjecture is Unprovable

The complete dimension theory of partially ordered systems with equivalence and orthogonality

The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions

The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$

The concrete theory of numbers : Problem of simplicity of Fermat number-twins

The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit

The Continuum is Countable: Infinity is Unique

The cycle problem: an intriguing periodicity to the zeros of the Riemann zeta function

The dimension monoid of a lattice

The Diophantine Equation arctan(1/x)+arctan(m/y)= arctan(1/k)

The diophantine equation x^3/3+y^3+z^3-2xyz=0

The distribution of natural numbers divisible by 2,3,5,11,13 and 17 on the Square Root Spiral

The distribution of prime numbers on the square root spiral

The distribution of the non-prime numbers - A new Sieve

The domain of the Fourier integral

The equation asinx+bcosx=c and a family of cyclic Heron quadrilaterals

The Error Term In The Primes Counting Function

The Essence of Intuitive Set Theory