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What is the Ramanujan sum?

Updated: 12/22/2022
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Q: What is the Ramanujan sum?
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What were inventions of ramanujan?

Ramanujan's number - 1729,which is the sum of squares of three numbers


What are the contributions of Srinivasa Ramanujan?

he introduced the theory of ramanujan's number (1729) which is the least no. which can be expressed as the sum of 2 cubes in 2 different ways ( 9cube + 10cube ; 12cube + 1cube)


What are the contributions of sri srinivasa ramanujan?

he introduced the theory of ramanujan's number (1729) which is the least no. which can be expressed as the sum of 2 cubes in 2 different ways ( 9cube + 10cube ; 12cube + 1cube)


Why is 1729 a special number for Ramanujan?

According to Ramanujan, it's the lowest number that can be expressed in two different ways as the sum of two cubes (the cubes of 12 and 1; the cubes of 10 and 9). It 's the answer.


Why 1729 is a Ramanujan number?

As the speciality of this number i.e., smallest number that can be shown as sum of two positive cubes in two ways was found by Ramanujam in the presence of Hardy.so it is also called hardy-ramanujan number.


Why is Ramanujan's favourite number 1729?

1729 is the Ramanujan's favorite number because 1729 is the sum of two consecutive cubes. 12³+1³ 1728+1= 1729 10³+9³ 1000+729= 1729


What is the special of the Ramanujan Number?

Ramanujan number is the smallest natural number that can be can be expressed as a sum of two perfect cubes in two different ways:- 123 + 13 = 1728+1 =1729 103 + 93 = 1000+729 =1729


Why 1729 is called Ramanujan Number?

ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.


How do you spell Ramanujan?

That is the correct spelling of the given name Ramanujan. (mathematician Srinivasa Ramanujan, 1856-1920)


How many natural numbers can be represented as sum of cubes of two natural numbers in two different ways?

Probably infinite. The smallest is known as Ramanujan's number, 1729 using cubes of 1 and 12, and of 9 and10. Read more about the genius Ramanujan in Wikipaedia.


When did A. K. Ramanujan die?

A. K. Ramanujan died in 1993.


When was Amita Ramanujan created?

Amita Ramanujan was created in 2005.