Contributions to the Theory of Partitions and Their Applications - Nayaka S., Shivaprasada
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The theory of partitions, which studies the ways in which integers can be expressed as sums of other integers, has profound implications in various fields of mathematics. Significant contributions by mathematicians such as Euler and Hardy have paved the way for a deeper understanding of partition functions and their properties. Recent advancements have explored partitions in combinatorial contexts, offering insights into generating functions and generalized partition functions, including k-color overpartitions, Andrews' singular overpartitions, designated summands, l-regular cubic partition…mehr

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Produktbeschreibung
The theory of partitions, which studies the ways in which integers can be expressed as sums of other integers, has profound implications in various fields of mathematics. Significant contributions by mathematicians such as Euler and Hardy have paved the way for a deeper understanding of partition functions and their properties. Recent advancements have explored partitions in combinatorial contexts, offering insights into generating functions and generalized partition functions, including k-color overpartitions, Andrews' singular overpartitions, designated summands, l-regular cubic partition pairs, (l; m)-regular bipartition triples, and partition quadruples with t-cores.
Autorenporträt
Dr. Shivaprasada Nayaka S. Assistant Professor, Department of Mathematics, JSS Banashankari Arts, Commerce, and Shantikumar Gubbi Science College, Vidyagiri, Dharwad. He received his Ph.D. degree in partition theory from Bangalore University, Bengaluru. He has published over 20 research articles and has six years of teaching experience.