On Some Generalizations to Floor Function Identities of Ramanujan
Andrzej Kukla, Sai Teja Somu
TL;DR
This paper explores generalizations of Ramanujan's identities involving the greatest integer function, expanding on classical floor function identities with new mathematical insights.
Contribution
It introduces novel generalizations of Ramanujan's floor function identities, broadening the understanding of integer part relations.
Findings
New generalized identities for the floor function
Extensions of Ramanujan's classical identities
Potential applications in number theory
Abstract
We give some generalizations to three identities of Srinivasa Ramanujan involving greatest integer function.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials