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Displaying 321 – 340 of 1341

The distribution of squarefree numbers.

R.R. Hall (1989)

Journal für die reine und angewandte Mathematik

The distribution of square-free numbers

R. Baker, J. Pintz (1985)

Acta Arithmetica

The distribution of square-free numbers of the form $[n^{c}]$

Xiaodong Cao, Wenguang Zhai (1998)

Journal de théorie des nombres de Bordeaux

It is proved that the sequence $[n^{c}] (n = 1, 2, \dots)$ contains infinite squarefree integers whenever $1 < c < \frac{61}{36} = 1.6944 \dots$ , which improves Rieger’s earlier range $1 < c < 1.5$ .

The distribution of squarefull numbers in short intervals

Michael Filaseta, Ognian Trifonov (1994)

Acta Arithmetica

The Distribution of Sublattices of ...m.

Wolfgang M. Schmidt (1998)

Monatshefte für Mathematik

The distribution of the eigenvalues of Hecke operators

J. B. Conrey, W. Duke, D. W. Farmer (1997)

Acta Arithmetica

The distribution of the fundamental units of real quadratic fields

V. Sprindžuk (1974)

Acta Arithmetica

The distribution of the sum-of-digits function

Michael Drmota, Johannes Gajdosik (1998)

Journal de théorie des nombres de Bordeaux

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

Alexandru Zaharescu (2003)

Journal de théorie des nombres de Bordeaux

Given a large prime number $p$ and a rational function $r (X)$ defined over $𝔽_{p} = ℤ / p ℤ$ , we investigate the size of the set $\{x \in 𝔽_{p} : \tilde{r} (x) > \tilde{r} (x + 1)$ , where $\tilde{r} (x)$ and $\tilde{r} (x + 1)$ denote the least positive representatives of $r (x)$ and $r (x + 1)$ in $ℤ$ modulo $p ℤ$ .

The distribution of totients.

Ford, Kevin (1998)

Electronic Research Announcements of the American Mathematical Society [electronic only]

The Distribution Of Values Of Some Multicaptive Functions

Aleksandar Ivić (1977)

Publications de l'Institut Mathématique

The distribution of values of the Euler function

Paul Bateman (1972)

Acta Arithmetica

The distribution of zeros of Epstein zeta functions over GLₙ

Riad Masri (2007)

Acta Arithmetica

The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3

Sin, Changhyon (2011)

Serdica Journal of Computing

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.

Currently displaying 321 – 340 of 1341

Previous Page 17 Next

Displaying 321 – 340 of 1341

The distribution of squarefree numbers.

The distribution of square-free numbers

The distribution of square-free numbers of the form $[n^{c}]$

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

The distribution of the values of a rational function modulo a big prime

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

The divisibility of $a^{n} - b^{n}$ by powers of $n$ .

The Divisibility of Normal Integral Generators.

The divisor function $d_{3} (n)$ in arithmetic progressions

The divisor function on residue classes I

The divisor function over arithmetic progressions

The divisor problem for arithmetic progressions

Currently displaying 321 – 340 of 1341