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- 1.0405163 - UIVT-O 20030139 RIV US eng J - Journal Article
Luca, F. - Porubský, Štefan
The Multiplicative Group Generated by the Lehmer Numbers.
Fibonacci Quarterly. Roč. 41, - (2003), s. 122-132. ISSN 0015-0517
Institutional research plan: AV0Z1030915
Keywords : Lehmer numbers * primitive prime divisor * multiplicative subgroup
Subject RIV: BA - General Mathematics
Impact factor: 0.180, year: 2003
Permanent Link: http://hdl.handle.net/11104/0125361 - 2.0355512 - MÚ 2011 RIV CA eng J - Journal Article
Křížek, Michal - Luca, F. - Shparlinski, I.E. - Somer, L.
On the complexity of testing elite primes.
Journal of Integer Sequences. Roč. 14, č. 1 (2011), 11.1.2. ISSN 1530-7638
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : quadratic residue * anti-elite primes * Weil bound
Subject RIV: BA - General Mathematics
https://cs.uwaterloo.ca/journals/JIS/VOL14/Krizek/krizek2.html
Permanent Link: http://hdl.handle.net/11104/0194263File Download Size Commentary Version Access Krizek13.pdf 1 80.2 KB Publisher’s postprint require - 3.0324309 - ÚI 2009 RIV SK eng J - Journal Article
Luca, F. - Pomerance, C. - Porubský, Štefan
Sets with Prescribed Arithmetic Densities.
[Množiny s předepsanými aritmetickými hustotami.]
Uniform Distribution Theory. Roč. 3, č. 2 (2008), s. 67-80. ISSN 1336-913X
R&D Projects: GA ČR GA201/07/0191
Institutional research plan: CEZ:AV0Z10300504
Keywords : generalized arithmetic density * generalized asymptotic density * generalized logarithmic density * arithmetical semigroup * weighted arithmetic mean * ratio set * R-dense set * Axiom A * delta-regularly varying function
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0172043 - 4.0175176 - MU-W 20020062 RIV US eng J - Journal Article
Křížek, Michal - Luca, F. - Somer, L.
On the convergence of series of reciprocal of primes related to the Fermat numbers.
Journal of Number Theory. Roč. 97, č. 1 (2002), s. 95-112. ISSN 0022-314X. E-ISSN 1096-1658
Institutional research plan: CEZ:AV0Z1019905
Keywords : Fermat numbers%elite primes%density
Subject RIV: BA - General Mathematics
Impact factor: 0.365, year: 2002
Permanent Link: http://hdl.handle.net/11104/0072163File Download Size Commentary Version Access Krizek3.pdf 1 161.5 KB Publisher’s postprint require - 5.0175135 - MU-W 20020014 RIV US eng J - Journal Article
Luca, F. - Křížek, Michal
On the Solutions of the Congruence n2=1 ( mod fi2(n) ).
Proceedings of the American Mathematical Society. Roč. 129, č. 8 (2001), s. 2191-2196. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA ČR GA201/98/1452
Keywords : Euler totient function * congruence
Subject RIV: BA - General Mathematics
Impact factor: 0.369, year: 2001
Permanent Link: http://hdl.handle.net/11104/0072122File Download Size Commentary Version Access Krizek6.pdf 1 128.2 KB Publisher’s postprint open-access - 6.0089494 - MÚ 2008 RIV ES spa J - Journal Article
Křížek, Michal - Luca, F. - Somer, L.
Desde los números de Fermat hasta la geometría.
[From Fermat numbers to geometry.]
La Gaceta de la Real Sociedad Matematica Espaňola. Roč. 10, č. 2 (2007), s. 471-483. ISSN 1138-8927
R&D Projects: GA MŠMT 1P05ME749
Institutional research plan: CEZ:AV0Z10190503
Keywords : fractals * Pascal´s triangle * euclidean construction
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0150690File Download Size Commentary Version Access Krizek10.pdf 1 517.4 KB Publisher’s postprint require - 7.0041920 - MÚ 2007 RIV CZ cze J - Journal Article
Křížek, Michal - Luca, F. - Somer, L.
Aritmetické vlastnosti Fibonacciových čísel.
[Arithmetic properties of Fibonacci numbers.]
Pokroky matematiky, fyziky & astronomie. Roč. 50, č. 2 (2005), s. 127-140. ISSN 0032-2423
R&D Projects: GA MŠMT(CZ) 1P05ME749
Institutional research plan: CEZ:AV0Z10190503
Keywords : golden section * primes * Lucas numbers
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0135259File Download Size Commentary Version Access Krizek3.pdf 3 391.2 KB Publisher’s postprint open-access - 8.0032136 - ÚI 2006 RIV SK eng J - Journal Article
Luca, F. - Porubský, Štefan
On Asymptotic and Logarithmic Densities.
[O asymptotické a logaritmické hustotě.]
Tatra Mountains Mathematical Publications. Roč. 31, - (2005), s. 75-86. ISSN 1210-3195
R&D Projects: GA ČR GA201/04/0381
Institutional research plan: CEZ:AV0Z10300504
Keywords : asymptotic density * logarithmic density
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0132731 - 9.0027268 - MÚ 2006 RIV GB eng J - Journal Article
Křížek, Michal - Luca, F. - Somer, L.
From Fermat Numbers to Geometry.
[Od Fermatových čísel ke geometrii.]
Mathematical Spectrum. A magazine for students and teachers of mathematics in schools, colleges and universities. Roč. 38, č. 2 (2005), s. 56-63. ISSN 0025-5653
R&D Projects: GA AV ČR(CZ) IAA1019201
Institutional research plan: CEZ:AV0Z10190503
Keywords : Pascal triangle * Heron triangle * graph theory
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0117385