How many formulas are given by Ramanujan?

–S. Huang [25] found proofs for all of Ramanujan’s approximately 15 formulas employing only results from Ramanu- jan’s notebooks [61] and lost notebook [62]. See also Chapter 15 of our book [10].

What is Ramanujan magic number?

1729
1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.

Who discovered logarithm?

John Napier
Logarithm/Inventors

The Scottish mathematician John Napier published his discovery of logarithms in 1614. His purpose was to assist in the multiplication of quantities that were then called sines.

What is Ramanujan summation?

Ramanujan summation essentially is a property of the partial sums, rather than a property of the entire sum, as that doesn’t exist.

What are the achievements of Ramanujan?

Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. What made his achievements really extraordinary was the fact that he received almost no formal training in pure mathematics and started working on his own mathematical research in isolation.

What is the Ramanujan sum?

Ramanujan’s sum. In number theory, a branch of mathematics, Ramanujan’s sum, usually denoted cq(n), is a function of two positive integer variables q and n defined by the formula:

How did Srinivasa Ramanujan contribute to math?

Srinivasa Ramanujan made great contributions to the field of mathematics, including a collaboration with well-known mathematician H.G. Hardy in developing the formula for the number, p(n), of partitions of a number “n.”. His discoveries also led to the infinite series for infinity formulation.