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Euclidean Primes Have the Minimum Number of Primitive Roots
Denote by A(p) the number of primitive roots modulo a prime p. We show that for an arbitrary .epsilon. > 0 there exists a prime p such that A(p)/p < .epsilon. . Moreover, for an arbitrary Euclidean prime p we prove...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Construction of 17-sided regular polygon
After the triangle and the pentagon, the 17-sided regular polygon is another regular n-polygon with a prime value, which can be constructed exactly Euclidean construction. J. Gauss stated the statement about its exact construction a...
Pure mathematics
- 2020 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
On distribution of primes around factorials
The distribution of primes is quite irregular. We prove the following theorem which however allows some relularity: If a prime number p satisfies n!+1prime larger than a given natural numb...
Pure mathematics
- 2022 •
- O
Rok uplatnění
O - Ostatní výsledky
On remarkable properties of primes near factorials and primorials
The distribution of primes is quite irregular. However, it is conjectured that if p is the smallest prime greater than n! + 1, then p – n! is also prime. We give prove that if a prime number p satisfies n! + 1 > p ...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Arithmetic Unit for Computations in GF(p) with the Left-Shifting Multiplicative Inverse Algorithm
We present the hardware architecture of an arithmetic unit intended for computing basic operations over a Galois field GF(p). The arithmetic unit supports addition, subtraction, multiplication, and multiplicative inverse modulo a prime p tha...
JC - Počítačový hardware a software
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Non-Euclidean Ideas for Broadband Invisibility
The ideas that were leading to the proposal of non-Euclidean invisible cloak are presented.
BH - Optika, masery a lasery
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
On semisymmetric projective euclidean spaces
In this paper we study n-dimensional semisymmetric projective Euclidean spaces. These spaces are generalization of symmetric spaces for which the covariant derivative of curvature tensor is vanishing. In our paper, we find new properties of ...
Pure mathematics
- 2017 •
- D
Rok uplatnění
D - Stať ve sborníku
Recurrent equiaffine projective Euclidean spaces
In this paper, we study n-dimensional recurrent equiaffine projective Euclidean manifolds, i.e. manifolds with absolute recurrent curvature tensor, which admit geodesic mappings onto Euclidean space and they are equiaffine (where wa...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Two Models of Non-Euclidean Spaces Generated by Associative Algebras
Were constructed two Models of non-Euclidean spaces generated by associative algebras.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fischer decomposition in Euclidean and Hermitean Clifford analysis
The paper contains a discussion of the Fischer decomposition in various situations - in Euclidean an Hermitean Clifford analysis, for scalar and spinor valued functions....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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