Two divisors of (n^2+1)/2 summing up to n+1

Two divisors of ( n 2 + 1 ) / 2 summing up to n + 1 par Mohamed

In this short note, we give an affirmative answer to a question of Ayad from [1]. 1. Main result In [1], Mohamed Ayad asked to prove that there does not exist an odd prime p and two positive divisors d1 and d2 of (p2 +1)/2 such that d1 +d2 = p+ 1. In this note, we prove a bit more, namely: Theorem 1.1. There does not exist an odd integer n > 1 and two positive divisors d1 and d2 of (n2 + 1)/2 s...

Summing up.

Summing Up

Summing up Dirichlet Instantons.

We investigate quantum corrections to the moduli space for hypermultiplets for the type IIA string near a conifold singularity. We find a unique quantum deformation based on symmetry arguments which is consistent with a recent conjecture. The correction can be interpreted as an infinite sum coming from multiple wrappings of the Euclidean Dirichlet branes around the vanishing cycle. [S0031-9007(...

Summing Up Again

The editorial, “The Journal Publishing: Never Ending Saga”, in the February 2014 issue of Osong Public Health and Research Perspectives (PHRP) has brought up quite a resonance from the journal editors, and needs provide them with more updated details. As mentioned in the editorial in the January 2014 issue of PHRP, this journal has been unique since its birth in every aspect. After 15 years’ pr...