Results 31 to 40 of about 70 (69)

Factorizations of a^n&plusmn;1, 13 &le; a < 100

open access: yes, 1992
As an extension of the "Cunningham" tables, we present tables of factorizations of a n \Sigma 1 for 13 a ! 100. The exponents n satisfy a n ! 10 255 if a ! 30, and n 100 if a 30.
Richard P. Brent, Herman J. J. te Riele
core  

Factorizations of a^n &plusmn; 1, 13 &le; a < 100: Update 2

open access: yes, 1996
This Report updates the tables of factorizations of a n \Sigma 1 for 13 a ! 100, previously published as CWI Report NM-R9212 (June 1992) and updated in CWI Report NM-R9419 (September 1994). A total of 760 new entries in the tables are given here.
Thomas Sosnowski   +6 more
core  

Update 1 to: Factorizations of a

open access: yes, 1994
In an earlier Report (NM-R9212, June 1992), two of us gave tables of factorizations of a n \Sigma 1 for 13 a ! 100. The exponents n satisfied a n ! 10 255 if a ! 30, and n 100 if a 30.
Sigma Richard   +3 more
core  

On the ratio of the sum of divisors and Euler’s Totient Function I

open access: yes, 2013
We prove that the only solutions to the equation σ(n)=2φ(n) with at most three distinct prime factors are 3, 35 and 1045. Moreover, there exist at most a finite number of solutions to σ(n)=2φ(n) with Ω(n)≤ k, and there are at most 22k+k-k squarefree ...
Delbourgo, Daniel, Broughan, Kevin A.
core  

Development of retroviral vectors for selective gene transfer into haematopoietic precursor cells and investigation of the gamma-retroviral R-peptide mediated membrane fusion

open access: yes, 2009
Eine in vivo Modifizierung von Blutstammzellen wäre für eine Reihe gentherapeutischer Therapieansätze vorteilhaft. Dies würde voraussetzen, dass retrovirale Vektoren gezielt auf Blutstammzellen ausgerichtet werden können.
Bobkova, Maria
core  

Kusniec's Theorem (expanded)

open access: yes
This work presents a comprehensive study on the distribution of prime numbers through geometric and arithmetic methodologies, offering new insights into their behavior and verifying several conjectures, including Legendre’s, Oppermann’s, Brocard’s, and ...
Charles Kusniec
core   +1 more source

On certain arithmetic functions involving the greatest common divisor

open access: yesOpen Mathematics, 2012
Krätzel Ekkehard   +2 more
doaj   +1 more source

Magnetic resonance evaluation of tubercular lesion in spine. [PDF]

open access: yesInt Orthop, 2012
Jain AK   +5 more
europepmc   +1 more source

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