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Topic: Ramanujan's Mock Modular Forms: Hindu Mathematician's Dream Conjecture Finally Proven
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Dr. Jai Maharaj

Posts: 276
Registered: 1/30/06
Ramanujan's Mock Modular Forms: Hindu Mathematician's Dream Conjecture Finally Proven
Posted: Jan 3, 2013 10:38 PM
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Ramanujan's Mock Modular Forms: Indian Mathematician's
Dream Conjecture Finally Proven

Hindu Press International
Hinduism Today Magazine
Tuesday, January 1, 2013

USA, December 27, 2012 (Live Science): While on his death
bed, the brilliant Indian mathematician Srinivasa
Ramanujan cryptically wrote down functions he said came
to him in dreams, with a hunch about how they behaved.
Now 100 years later, researchers say they've proved he
was right.

"We've solved the problems from his last mysterious
letters. For people who work in this area of math, the
problem has been open for 90 years," Emory University
mathematician Ken Ono said.

Ramanujan, a self-taught mathematician born in a rural
village in South India, spent so much time thinking about
math that he flunked out of college in India twice, Ono
said. But he sent mathematicians letters describing his
work, and one of the most preeminent ones, English
mathematician G. H. Hardy, recognized the Indian boy's
genius and invited him to Cambridge University in England
to study. While there, Ramanujan published more than 30
papers and was inducted into the Royal Society.

It was on his deathbed in 1920 that he described
mysterious functions that mimicked theta functions, or
modular forms, in a letter to Hardy. Ramanujan believed
that 17 new functions he discovered were "mock modular
forms" that looked like theta functions when written out
as an infinite sum, but weren't super-symmetric.
Ramanujan, a devout Hindu, thought these patterns were
revealed to him by the Goddess Namagiri. [HPI: Ramanujan
attributed all his discoveries to the Goddess--see
Hinduism Today's article on him at

Ramanujan died before he could prove his hunch.

The expansion of mock modular forms helps physicists
compute the entropy, or level of disorder, of black
holes. In developing mock modular forms, Ramanujan was
decades ahead of his time, Ono said; mathematicians only
figured out which branch of math these equations belonged
to in 2002.

"Ramanujan's legacy, it turns out, is much more important
than anything anyone would have guessed when Ramanujan
died," Ono said. The findings were presented last month
at the Ramanujan 125 conference at the University of
Florida, ahead of the 125th anniversary of the
mathematician's birth on Dec. 22.

Source -

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Hindu Press International
Hinduism Today Magazine

Jai Maharaj, Jyotishi
Om Shanti

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