2 papers
math.GM2025
Conditions for solving polynomial equations using algebraic and hypergeometric functions
Nikos Mantzakouras, Carlos López Zapata, Nid Na Ratch
In this paper, we focus on clarifying the concept of solving equations of degree greater than six using continuous functions or hypergeometric functions and providing another proof…
math.GM2025
Diophantine FLINT-HILLS series
Nikos Mantzakouras, Carlos López Zapata
We prove the convergence of the FLINT-HILLS series and establish new criteria for a similar type of diophantine or lacunary series, which faces issues due to spaced long terms comi…