#shorts 1 + 2 + 3 + ... = what? Math problem of the day - Ramanujan

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[Ganesh-own]

1-1+1-1+1-1.... = 1/2 was also asked to prove in my interview and I was also asked to extend the sum mentioned in the Shorts to sum of even powers and odd powers separately. As I interviewed for PhD position in Number Theory this turned out to be very useful piece of information

[KulshresthaVaibhav]

Yes, the sum of all positive numbers up to infinity is equal to -1/12!

[Ganesh-own]

I was asked to prove this in my PhD interview 😮

[priyasharma]

No. Dont we need negative numbers to get a sum to be negative? This looks like a set of whole numbers which is closed under addition. So all such sums will give a whole number at the end. Am I wrong?

[abhachaturvedi]

It must be positive and a large number

[Utkalpdc]

Yes or No? And why? ANSWER IN THE COMMENTS