What is the contribution of Ramanujan in number theory?
Most of his research work on Number Theory arose out of q-series and theta functions. He developed his own theory of elliptic functions, and applied his theory to develop some truly different areas, like, hypergeometric-like series for 1/pi, class invariants, continued fractions and many more.
What are the formulas invented by Ramanujan?
In mathematics, in the field of number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than a power of two. It is an example of an exponential Diophantine equation, an equation to be solved in integers where one of the variables appears as an exponent.
Who was famous for his contributions to the number theory?
Number theory in the 18th century Euler was the most prolific mathematician ever—and one of the most influential—and when he turned his attention to number theory, the subject could no longer be ignored.
What are the achievements of Ramanujan?
Fellow of the Royal Society
Srinivasa Ramanujan/Awards
What did Srinivasa Ramanujan contribute to number theory?
Overview Indian mathematical genius Srinivasa Ramanujan (1887–1920) made remarkable contributions in several areas of mathematics, including Number Theory. He revolutionalized the study of some areas of number theory by making great contributions.
How did Ramanujan contribute to the theory of modular forms?
In the paper, Ramanujan investigated the properties of Fourier coefficients of modular forms. Though the theory of modular forms was not even developed then, he came up with three fundamental conjectures that served as a guiding force for its development.
Who is the professor of Ramanujan’s special functions?
Prof. Nayandeep Deka Baruah is in the Department of Mathematical Sciences, Tezpur University, Assam. His research interest is in Number Theory, Special Functions, Ramanujan’s Mathematics, especially, Elliptic and Theta Functions, Modular Equations, Continued Fractions, q-series, and Theory of Partitions.
What was the proof of Ramanujan’s theorem?
They looked unlike any known modular forms, but he stated that their outputs would be very similar to those of modular forms when computed for the roots of 1, such as the square root -1. Characteristically, Ramanujan offered neither proof nor explanation for this conclusion.
