Saif Raad Abdul Mawla Lazim

A Novel Higher-Order Framework Connecting Prime Zeta Functions to Dirichlet Convolutions and Prime Decomposition

This paper introduces a novel higher-order analytical framework connecting prime zeta functions to Dirichlet convolutions and prime decomposition, extending the foundational non-recursive partial fraction framework established by Saif R. Lazim. By utilizing higher-order derivativ...

Analytical Solutions to Open Structural Challenges in Rational Series and Integrals via Saif R. Lazim's Identities

Partial fraction decomposition (PFD) serves as a core analytical mechanism within advanced calculus, theoretical physics, and computer algebra systems (CAS). Despite its mature development, classical methodologies remain significantly constrained when managing multi-term multinom...

Analytical Solutions to Open Structural Challenges in Rational Series and Integrals via Saif R. Lazim's Identities

Partial fraction decomposition (PFD) serves as a core analytical mechanism within advanced calculus, theoretical physics, and computer algebra systems (CAS). Despite its mature development, classical methodologies remain significantly constrained when managing multi-term multinom...