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If you want to learn some more about Ramanujan's contribution to mathematics, rent High School Musical. Freeze-frame it at the moment brainy Gabriella Montez challenges her teacher. On the board are two of the equations of the inverse of the constant pi (1/π) that Ramanujan offered in his first paper published in England. "Shouldn't the second equation read 16 over pi?" asks Gabriella. Of course it should.
Toward the end of the first paper that he published in England, famed Indian mathematician
Srinivasa Ramanujan (1887–1920) offers three series representations of the inverse of the constant pi (1/
π).
Amazingly, two of these formulas appear on a blackboard in a scene in the insanely popular Disney movie
High School Musical, except that one of the formulas isn't quite right. In the movie, young star
Vanessa Anne Hudgens plays brainy Gabriella Montez, who asks her teacher, "Shouldn't the second equation read sixteen over pi." The expression on the board reads 8/
π.
"Sixteen over pi," the teacher replies. "That's impossible." She then whips out a calculator and somehow figures out that Gabriella is right. "I stand corrected," she concedes.
The correct version of Ramanujan's series for 1/pi that appears inHigh School Musical.
That bit of dialog near the beginning of the movie helps establish where Gabriella stands as a student at her high school. This movie moment also now figures in a paper published in the
August-September issue of the
American Mathematical Monthly. Nayandeep Deka Baruah,
Bruce C. Berndt, and
Heng Huat Chanprovide a survey of Ramanujan’s series for 1/
π and start off with the formulas that play a part in
High School Musical.
An acknowledgement from the authors notes, "We are pleased to thank Si Min Chan and Si Ya Chan for watching
High School Musical, thereby making their father aware of Walt Disney Productions' interest in Ramanujan's formulas for 1/
π."
The paper originally appeared in a special issue of the Indian journal
The Mathematics Student, published in 2007 by the Indian Mathematical Society in its centennial year.
Reference:
Baruah, N.D., B.C. Berndt, and H.H. Chan. 2009.
Ramanujan's series for 1/π: A survey.
American Mathematical Monthly116(August-September):567-587.
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