The distribution of squarefree numbers.
The distribution of square-free numbers
The distribution of square-free numbers of the form
It is proved that the sequence contains infinite squarefree integers whenever , which improves Rieger’s earlier range .
The distribution of squarefull numbers in short intervals
The Distribution of Sublattices of ...m.
The distribution of the eigenvalues of Hecke operators
The distribution of the fundamental units of real quadratic fields
The distribution of the sum-of-digits function
By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.
The distribution of the values of a rational function modulo a big prime
Given a large prime number and a rational function defined over , we investigate the size of the set , where and denote the least positive representatives of and in modulo .
The distribution of totients.
The Distribution Of Values Of Some Multicaptive Functions
The distribution of values of the Euler function
The distribution of zeros of Epstein zeta functions over GLₙ
The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3
Recently Garashuk and Lisonek evaluated Kloosterman sums K (a) modulo 4 over a finite field F3m in the case of even K (a). They posed it as an open problem to characterize elements a in F3m for which K (a) ≡ 1 (mod4) and K (a) ≡ 3 (mod4). In this paper, we will give an answer to this problem. The result allows us to count the number of elements a in F3m belonging to each of these two classes.
The divisibility of by powers of .
The Divisibility of Normal Integral Generators.
The divisor function in arithmetic progressions
The divisor function on residue classes I
The divisor function over arithmetic progressions
The divisor problem for arithmetic progressions