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On prime divisors of remarkable sequences
In this paper we study sequence of the form a^n+b.We prove many interesting result connection with sequences with infinetely many prime divisors....
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Topological Aspects of Infinitude of Primes in Arithmetic Progressions
of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher points for the set of primes an...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Note on Density and the Dirichlet Condition
Motivated by topological approaches to Euclid and Dirichlet's theorems on infinitude of primes, we introduce and study S-coprime topologies on a commutative ring R with an identity and without zero divisors. For infinite se...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Baťa primes
A new class of prime numbers - Baťa primes - is introduced. A positive integer is called a Baťa prime of class k if it ends with at least k 9s. We prove that for any positive integer k there exist infinitely many Baťa p...
Pure mathematics
- 2023 •
- O •
- Link
Rok uplatnění
O - Ostatní výsledky
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Fredholm's third theorem for second order singular Dirichlet problem
There are found conditions guarantee the validity of the third Fredholm's theorem for the second-order singular Dirichlet problem.
Pure mathematics
- 2014 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Fredholm's third theorem for second-order singular Dirichlet problem
Consider the singular Dirichlet problem u'' = p(t)u + q(t); u(a) = 0, u(b) = 0, where p, q : ]a, b[?R are locally Lebesgue integrable functions. It is proved that if b a (s - a)(b - s)[p(s)] - ds < + and b a (s - a)(b - s) ! q(s) ! ds < +, t...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On the Dirichlet problem for the n, a-Laplacian with the nonlinearity in the critical growth range
Applying the Mountain Pass Theorem we prove the existence of a non-trivial weak solution to the generalized Dirichlet problem.
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Beyond the MaxEnt Principle: from Fourier to Spirals, Zipf's Law, Golden Ratio ...
Fractions, Golden Ratio, Dirichlet Series, Reimann's Zeta-Function and Prime Number Theorem).
BD - Teorie informace
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Positive solutions of the Dirichlet problem with state-dependent functional differential equations
Existence results for positive solutions of a state-dependent singular functional differential equation satisfying the Dirichlet boundary conditions are given. Results are proved by regularization and sequential techniques and use the Leray-...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Prime numbers magic squares
According to the Green-Tao theorem there exist arbitrarily long arithmetical progressions of a finite length containing only prime numbers. We use this deep mathematical statement to prove the existence of prime number magi...
Pure mathematics
- 2020 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
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