Filters
Some open problems in elementary number theory
This contribution is devoted to some up this time unsolved problems in number theory which are formulated in the easy way using very elementary tools....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Primes in Action
Mathematicians have been fascinated by the concepts of elementary number theory, such as integers, integer division, prime and relatively prime numbers, since the times are often very complicated. Some of these problems, e....
BA - Obecná matematika
- 2015 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor
Positive integers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor are studied. They are called the straddled numbers and their properties are derived. There are also ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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What Do We Know about Prime Numbers?
The term theory of numbers gives the impression that it is a part of mathematics, the subject is based on the concept of natural number concept to build the whole, rational, and real and complex numbers and study the properties of the field ...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Filters in Fuzzy Class Theory
A concept of filter is introduced in fuzzy class theory. Graded properties of filters, prime filters, and related constructions are investigated. In particular, the properties of filters relativized with respect to the three basic t...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On a divisibility problem
Let p(1), p(2), ... be the sequence of all primes in ascending order. Using explicit estimates from the prime number theory, we show that if k >= 5, then ((pk+1) -1)! vertical bar (1/2 ((pk+1) - 1)) ! (pk)!, which improves ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Towards the Realistic Natural Language Representations
This essay suggests a way to derive a natural language representation from textual corpora into the connectionist, continuous representations. Based on the lexical priming theory and psycholinguistic evidence we discuss benefits and...
IN - Informatika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Silesian Mathematical Summer School in Opava
The program of the summer school included two courses focused on the problematic of dynamical systems. The basic course gave an overview of the theory of monotone dynamical systems with applications to ordinary and delayed differential equat...
BA - Obecná matematika
- 2012 •
- W
Rok uplatnění
W - Uspořádání workshopu
On the proximity of large primes
of primes that are close to each other for some metrics on the integers. In particular, for any numeration basis q, we show that there are infinitely many pairs of primes integer t; there are infinitely many pairs of primes
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A Refined Conjecture for the Variance of Gaussian Primes across Sectors
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifurcation point in the main term, consistent with the Random Mat...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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