Ramanujan-Hardy number relates to elliptic curves and K3 surfaces

Ramanujan-Hardy number relates to elliptic curves and K3 surfaces

A team of mathematical experts have said that 1729, which is also known as the Ramanujan-Hardy number, is linked to aspects of string theory and quantum physics is not just a subject of conversation by Indian mathematician.The researchers said that the number is linked to elliptic curves and K3 surfaces that are of key importance today due to use of string theory and quantum physics.

It is believed that Indian mathematician SrinivasaRamanujan was in London in 1918 when his friend and collaborator G.H. Hardy visited him at a clinic.Hardy had arrived in the taxi number 1729 and said that it was a dull number.Ramanujan noted that it is an interesting number as it is the smallest number expressible as the sum of two cubes in two different ways. Ramanujan had said gthat it is the addition on cubes of 1 and 12 as well as the addition of the cubes of 9and 10. Since then, the number is named the Ramanujan-Hardy number.

Ken Ono, a number theorist at Emory in a public release said, “We’ve found that Ramanujan actually discovered a K3 surface more than 30 years before others started studying K3 surfaces and they were even named.It turns out that Ramanujan’s work anticipated deep structures that have become fundamental objects in arithmetic geometry, number theory and physics.”

Ono and his graduate student Sarah Trebat-Leder are publishing a paper about these new insights in the journal Research in Number Theory.


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