The master function and applications
In this paper we introduce a function that is neither additive nor multiplicative, and is somewhat akin to the Von Mangoldt function. As an application we show that \begin{align}\sum \limits_{p\leq x/2}\frac{\pi(p)}{p}\geq (1+o(1))\log \log x\nonumber ...
Agama, Theophilus
core
A remark on the strong Goldbach conjecture
Under the assumption that $\sum \limits_{n\leq N}\Upsilon(n)\Upsilon(N-n)>0$, we show that for all even number $N>6$ \begin{align} \sum \limits_{n\leq N}\Upsilon(n)\Upsilon(N-n)=(1+o(1))K\sum \limits_{p|N}\sum \limits_{\substack{n\leq N/p}}\Lambda_{0}(n)\
Agama, Theophilus
core
Rapid quantification of fatty acids in plant oils and biological samples by LC-MS. [PDF]
Koch E +4 more
europepmc +1 more source
On elementary estimates for sum of some functions in certain arithmetic progressions
In this paper we establish, by elementary means, estimates for the sum of some functions in certain arithmetic progressions.Comment: typos ...
Agama, Theophilus
core
Macular Rod Function in Retinitis Pigmentosa Measured With Scotopic Microperimetry. [PDF]
Krishnan AK +4 more
europepmc +1 more source
Groups where each element is conjugate to its certain power
Hegedűs Pál
doaj +1 more source
The oppD Gene and Putative Peptidase Genes May Be Required for Virulence in Mycoplasma gallisepticum. [PDF]
Tseng CW +6 more
europepmc +1 more source
The Cardiff Cervical Cytology Study. Prevalence and epidemiology of cervical neoplasia. [PDF]
Sweetnam P +3 more
europepmc +1 more source
Combining tethered and untethered magnetic robots via a magnetically triggerable latch for target payload delivery and retrieval. [PDF]
Brockdorff M +9 more
europepmc +1 more source
Evaluation of high-throughput sequencing for replacing the conventional adventitious virus detection assays used for biologics. [PDF]
Chin PJ +17 more
europepmc +1 more source

