3 papers
math.CO2021
Significant contribution to the Frankl's union-closed conjecture
Acquaah Peter
A celebrated unresolved conjecture of Peter Frankl states that every finite union-closed collection of sets (), with non-empty universe, admits an abundant element. The best res…
math.GM2018
On the Frankl's union-closed conjecture
Acquaah Peter
A celebrated unresolved conjecture of Peter Frankl states that every finite collection of sets, with finite universe, admits an abundant element. In this paper, we prove Frankl's u…
math.NT2017
A new proof of Dirichlet's theorem concerning prime numbers in arithmetic progressions
Acquaah Peter
It is known that there are infinitely-many prime numbers which take the form of a polynomial of degree one with integer coefficients, this is Dirichlet's theorem. We use an element…