What is the sum of Ramanujan sum?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

Is Ramanujan summation real?

The way 100 cents is one dollar and 60 seconds is 1 minute and is 60/3600 hour and is 0.01666 hour. Ramanujan's summation is presently being used to understand String Theory, showing it is true and very real.

What is Ramanujan PI formula?

Ramanujan's Magnificent Formula for Pi: 9801/(1103√8)=π

What is the total of 1 2 3 4 5 to 100?

+ 100 = 5050 .

Why is 1729 called Ramanujan number?

It's the smallest number expressible as the sum of two cubes in two different ways." Because of this incident, 1729 is now known as the Ramanujan-Hardy number.

Sum of all natural numbers(Ramanujan Summation)

Is 1729 called Ramanujan number?

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.

Is 1729 a perfect cube?

Is 1729 a Perfect Cube? The number 1729 on prime factorization gives 7 × 13 × 19. Here, the prime factor 7 is not in the power of 3. Therefore the cube root of 1729 is irrational, hence 1729 is not a perfect cube.

What is 2 4 6 8 10 all the way to 200?

So in from 2 to 200, there are 100 even numbers. 10100. Thus the sum is 10100. Hope this helps.

What's 1 2 3 4 5 6 all the way to 100?

According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.

What is 1 2 3 4 5 all the way to 300?

So we get the sum of the numbers from 1 to 300 as 1+2+3 . . . . . . . . . +300 = 45150.

What is Ramanujan paradox?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

What did Ramanujan invented?

Circle Method: Ramanujan, along with GH Hardy, invented the circle method which gave the first approximations of the partition of numbers beyond 200. This method contributed significantly to solving the notorious complex problems of the 20th century, such as Waring's conjecture and other additional questions.

What is Ramanujan's constant?

In mathematics, the Ramanujan–Soldner constant (also called the Soldner constant) is a mathematical constant defined as the unique positive zero of the logarithmic integral function. It is named after Srinivasa Ramanujan and Johann Georg von Soldner.

Why Ramanujan was wrong about infinity?

The key reason behind Ramanujan's infinite series being wrong is the consideration that S equals 1/2, which in a real case scenario is impossible, even though it was proven to equal 1/2 with clever mathematical manipulations as S is not converging, i.e, even when we take the sum of infinite terms of S, we would either ...

What is 0 0 by Ramanujan?

It is not possible to analyse ideas of quantity that have not been composed. Thus 0/0 has no meaning. It is not anything, as Ramanujan joked.

How did Ramanujan know so much?

He made mistakes all the time." Ramanujan quickly learned a great deal of formal mathematics at Cambridge and went from an amateur to writing world class mathematics papers. "Very quickly, within the span of a year or two, he was formally trained. He was very smart so he could catch up quickly.

Is √ 1 a real number?

√ 1 is a real number.

How can you make 100 with 1 2 3 4 5 6 7 8 9?

What are the numbers from 1 to infinity?

Natural numbers are the positive integers or non-negative integers which start from 1 and ends at infinity, such as: 1,2,3,4,5,6,7,8,9,10,……,∞.

What are the missing numbers 2 6 12 20 30 40 256?

Detailed Solution

Hence, 42 is the answer.

What is the rule for 1 3 5 7 9?

The sequence that is given to us is 1, 3, 5, 7, 9, ... a₅ - a₄ = 9 - 7 = 2. Hence, from the above simplification we can see that the common difference is 2. Therefore, the general term for the sequence 1, 3, 5, 7, 9, . . . is 2n - 1.

Why is 0 a factorial of 1?

Factorial of a number in mathematics is the product of all the positive numbers less than or equal to a number. But there are no positive values less than zero so the data set cannot be arranged which counts as the possible combination of how data can be arranged (it cannot). Thus, 0! = 1.

Is 4104 a Ramanujan number?

1. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways.

Why is 1729 a magic number?

Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.

Is 0 a perfect cube?

-The cube of zero is zero. Most integers are not perfect cubes. As you move to the right (or the left) on the number line, you'd notice the perfect cubes get more spread out.