In this work we clarify the global geometrical phenomena corresponding to the notion of center for plane quadratic vector fields. We first show the key role played by the algebraic particular ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

If F(z) is a newform of weight 2λ and D is a fundamental discriminant, then let $ {\rm{L(F}} \otimes \chi D,^{\rm{s}} )$ be the usual twisted L-series. We study the algebraic parts of the central ...

Algebraic dynamics and differential equations form a vibrant interdisciplinary field where the intrinsic algebraic structures of dynamical systems are explored through the lens of differential ...