You are currently viewing Strange Ramanujan Summation 1 + 2 + 3 + 4 +… … … = -1/12

Strange Ramanujan Summation 1 + 2 + 3 + 4 +… … … = -1/12

Strange Ramanujan Summation 

1 + 2 + 3 + 4 +….. =  -1/12 

#Ramanujan #SrinivasaRamanujan #RamanujanSummation #GrandiSeries

In this video lecture we will discuss the proof of Ramanujan summation of natural numbers  1+2+3+4…..=-1/12. Ramanujan wrote a letter to Cambridge mathematician G.H Hardy and in the 11 page letter there were a number of interesting results and proofs and after reading the letter Hardy was surprised about the letter that changed the face of mathematics forever.  The proof is based on the use of Guido Grandi Series. The strange thing about this sum is that how can the sum of positive natural numbers forming a diverging series can give a negative fraction.The implication of this series is in bosonic string theory and Casimir effect.

All the course materials and video links will be available on the below link:

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