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The current study has conducted with the objective to know the contributions of Indian Mathematicians in modern period. Some of the observations and algorithms that Indian mathematicians have found will be studied in some depth. The mechanisms by which Indian mathematicians appear, explain the outcomes and methods are hardly discussed. There are numerical problems surrounding the features of algebraic objects such as the algebraic number fields, function fields, integer rings, and finite fields. The solution of extract periodicity from signal, the SSP (subset sum problem) and NP-Hard computational problem, and the solution of Musical Morphism with delay will be analyse by the Ramanujan’s theory, Kamalakara theorem and Narayana’s method, Respectively.
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