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math.NT2018
A partition identity connected to the second rank moment
Alexander E Patkowski
The purpose of this note is to offer some partition implications of a -series that is connected to the second Atkin-Garvan moment. Inequalities and relationships among the numbe…
math.NT2018
On criteria related to the reciprocal of the Riemann zeta function
Alexander E Patkowski
We explore Fourier transforms of the reciprocal of the Riemann zeta function that have connections to the RH. A partial answer to a recently posed problem is explored by exploiting…
math.NT2018
Partitions related to positive definite binary quadratic forms
Alexander E Patkowski
The purpose of this paper is to present a collection of interesting generating functions for partitions which have connections to positive definite binary quadratic forms. In estab…