Zobrazeno 1 - 10 of 116 pro vyhledávání: '"H. Jaroma"'
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Akademický článek
On the appearance of primes in linear recursive sequences
Autor: John H. Jaroma
Publikováno v: Advances in Difference Equations, Vol 2005, Iss 2, Pp 145-151 (2005)
We present an application of difference equations to number theory by considering the set of linear second-order recursive relations, Un+2(R,Q)=RUn+1−QUn, U0=0, U1=1, and Vn+2(R,Q)=RVn+1−QVn, V0=2,  V
Externí odkaz: https://doaj.org/article/95d8d77d6803412a9baccbd49bbcb567
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2
The imperfect Fibonacci and Lucas numbers
Autor: John H. Jaroma
Publikováno v: Irish Mathematical Society Bulletin. :33-43
A perfect number is any positive integer that is equal to the sum of its proper divisors. Several years ago, F. Luca showed that the Fibonacci and Lucas numbers contain no perfect numbers. In this paper, we alter the argument given by Luca for the no
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4965b8a4cfd408e4d1ae0aacfe579843
https://doi.org/10.33232/bims.0063.33.43
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6
On the rank of apparition of composite N in the Lehmer sequences
Autor: John H. Jaroma
Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 63:e1081-e1086
The rank of apparition of a number N in an underlying recursively defined Lehmer sequence is the index of the first term that contains N as a divisor. In this paper, we state the conjecture that if ( N ± 1 ) / 2 is the rank of apparition of N then N
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::97842642958650a2533f25775c3b4325
https://doi.org/10.1016/j.na.2005.02.017
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7
Note on the Lucas-Lehmer Test
Autor: John H. Jaroma
Publikováno v: Irish Mathematical Society Bulletin. :63-72
A proof of the Lucas-Lehmer test can be di- cult to find, for most textbooks that state the result do not prove it. Over the past two decades, there have been some eorts to produce elementary versions of this famous result. However, the two that we a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::17def9356d80b0bbcf098a9242ad4b63
https://doi.org/10.33232/bims.0054.63.72
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8
An Extension of the Results of Servais and Cramer on Odd Perfect and Odd Multiply Perfect Numbers
Autor: John H. Jaroma, Jennifer T. Betcher
Publikováno v: The American Mathematical Monthly. 110:49-52
(2003). An Extension of the Results of Servais and Cramer on Odd Perfect and Odd Multiply Perfect Numbers. The American Mathematical Monthly: Vol. 110, No. 1, pp. 49-52.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0b03a7cc8d2549a7262f15fa1a4b4d5
https://doi.org/10.1080/00029890.2003.11919937
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9
Triangular repunit—there is but 1
Autor: John H. Jaroma
Publikováno v: Czechoslovak Mathematical Journal. 60:1075-1077
In this paper, we demonstrate that 1 is the only integer that is both triangular and a repunit.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::264c3dce9837032bce2252ea839b4d24
https://doi.org/10.1007/s10587-010-0072-9
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10
Medial displacement of the biceps brachii tendon: evaluation with dynamic sonography during maximal external shoulder rotation
Autor: P U Farin, A Harju, S Soimakallio, H Jaroma
Publikováno v: Radiology. 195:845-848
To determine the value of the sonographic subluxation test--dynamic scanning of a shoulder during maximal external rotation--in the evaluation of medial displacement of the biceps tendon.The subluxation test was performed during shoulder sonography i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f140906765e18be7daa3186f2ed65cd6
https://doi.org/10.1148/radiology.195.3.7754019
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