Some subregular germs for -adic .
Some sufficient conditions for zero asymptotic density and the expression of natural numbers as sum of values of special functions
This paper generalizes some results from another one, namely [3]. We have studied the issues of expressing natural numbers as a sum of powers of natural numbers in paper [3]. It means we have studied sets of type where were given natural numbers. Now we are going to study a more general case, i.e. sets of natural numbers that are expressed as sum of integral parts of functional values of some special functions. It means that we are interested in sets of natural numbers in the form
Some symmetric identities involving a sequence of polynomials.
Some theorems concerning the number theoretic function w(n).
Some theorems concerning the theory of primes.
Some theorems on the explicit evaluation of Ramanujan's theta-functions.
Some theorems on the explicit evaluations of singular moduli.
Some theta functions identities associated with the modular equations of degree 5.
Some trigonometric identities involving Fibonacci and Lucas numbers.
Some unramified abelian extensions of algebraic number fields.
Some unsolved problems
Some upper bounds in the theory of irregularities of distribution
Some values of Olson's constant.
Some variations and consequences of the Kummer-Mirimanoff congruences
Some wonderful formulae... Footnotes to Apery’s proof of the irrationality of
Some youthful ways to evaluate .
Some -results related to the fourth power moment of the Riemann zeta-function and to the additive divisor problem
We improve the “two-sided” omega results in the fourth power mean problem for the Riemann zeta-function and in the additive divisor problem.
Some Ω-theorems for the Riemann zeta-function
Something about Lindemann's theorem
Somme des chiffres et transcendance