Results 31 to 40 of about 75 (71)

On Arithmetic Functions

open access: yes, 2013
In this paper, we intend to establish some inequalities on Jordan totient function. Using arithmetic functions like the Dedekind's function , the divisors function , Euler's totient function and their compositions we gave some results on ...
Bhabesh Das
core  

Quadratic Difference Operators and Structural Compression in the Erdős–Rankin Prime Gap Problem

open access: yes
Using the 52 known even perfect numbers, this paper identifies underlying structural regularities by projecting discrete arithmetic patterns into a continuous geometric space via a characteristic quadratic mapping.
Shang Yu Chen
core   +1 more source

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

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  

Contributions to Analytic Number Theory

open access: yes, 2004
This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-
Lucht, Lutz G
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   +2 more sources

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  

Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2020
Qi F, Huang CJ.
europepmc   +1 more source

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