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Abstract
<jats:p>This volume explores foundational advancements in pure mathematics, emphasizing rigorous theoretical development, logical reasoning, and abstraction in mathematical structures. Contributions may include novel work in number theory, algebraic structures, topology, geometry, combinatorics, discrete structures, and functional analysis. The volume encourages exploration of structural relationships, theoretical proofs, new conjectures, and computationally assisted theoretical verification. Cross-disciplinary theoretical links between pure mathematics and areas such as theoretical computer science, cryptographic foundations, coding theory, or quantum computation are welcomed. The goal is to advance mathematical theory and deepen conceptual understanding.</jats:p>