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Guides: Astrological - Articles - Srinivasa Aiyangar Ramanujan - Wikipedia

Srinivasa Aiyangar Ramanujan

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Ramanujan

Srinivasa Aiyangar Ramanujan [srInivAsa aiyangAr rAmAnujan] (December 22, 1887 - April 26, 1920) was a groundbreaking Indian mathematician. He was largely self-taught in mathematics and never attended university.

Ramanujan mainly worked in analytical number theory and is famous for many summation formulas involving constants such as π, prime numbers and partition function. Often, his formulas were stated without proof and were only later proven to be true.

Table of contents
1 Life
2 The Ramanujan conjecture and its role
3 See also
4 Books
5 External links

Life

Born in Erode, Tamil Nadu, India, by the age of twelve Ramanujan had mastered trigonometry so completely that he was inventing sophisticated theorems that astonished his teachers. In 1898 he entered the Town High School in Kumbakonam. He published several papers in Indian mathematical journals and later got the interests of leading European mathematicians in his work. A 1913 letter to G. H. Hardy contained a long list of theorems without proof. After some initial scepticism, Hardy replied and invited Ramanujan to England. As an orthodox Brahmin, Ramanujan consulted the astrological data for his journey, because his mother was horrified that he would lose his caste by traveling to foreign shores.

A fruitful collaboration, which Hardy described as "the one romantic incident in my life", soon developed. Hardy said of some of Ramanujan's formulas, which he could not understand, that "a single look at them is enough to show that they could only be written down by a mathematician of the highest class. They must be true, for if they were not true, no one would have had the imagination to invent them."

Plagued by health problems all his life, Ramanujan's condition worsened in England, perhaps due to the scarcity of vegetarian food during the First World War. He returned to India in 1919 and died soon after in Kumbakonam. His wife S. Janaki Ammal lived outside Chennai (formerly Madras) until her death in 1994.

The Ramanujan conjecture and its role

Although there are numerous statements that could bear the name 'Ramanujan conjecture', there is one in particular that was very influential on later work.

The Ramanujan Conjecture is an assertion on the size of the coefficients of the tau-function, a typical cusp form in the theory of modular forms. This was finally proved as a consequence of the proof of the Weil conjectures. The reduction step wasn't at all simple (work of Michio Kuga and contributions also of Mikio Sato, Goro Shimura and Yasutaka Ihara, followed by Deligne) and the existence of the connection inspired some of the deep work in the late 1960s when the consequences of the etale cohomology theory were being worked out.

See also

Books

External links

Everything Astrology Book: Llewellyn's Astrological 2004 Calendar
Llewellyn's Astrological 2004 Calendar
  Everything Astrology Book: Llewellyn's Astrological Planner 2004 Calendar
Llewellyn's Astrological Planner 2004 Calendar
  Everything Astrology Book: Holy Blood, Holy Grail
Holy Blood, Holy Grail
  Everything Astrology Book: The Templar Revelation: Secret Guardians of the True Identity of Christ
The Templar Revelation: Secret Guardians of the True Identity of Christ
 
Everything Astrology Book: How to Read Your Astrological Chart: Aspects of the Cosmic Puzzle
How to Read Your Astrological Chart: Aspects of the Cosmic Puzzle
  Everything Astrology Book: Feng Shui Step by Step : Arranging Your Home for Health and Happiness--with Personalized Astrological Charts
Feng Shui Step by Step : Arranging Your Home for Health and Happiness--with Personalized Astrological Charts
  Everything Astrology Book: Planets in Synastry: Astrological Patterns of Relationships (The Planet Series)
Planets in Synastry: Astrological Patterns of Relationships (The Planet Series)
  Everything Astrology Book: 2004 Astrological Appointment Book (Jan-Jun)
2004 Astrological Appointment Book (Jan-Jun)
 
Everything Astrology Book: Chiron and the Healing Journey: An Astrological and Psychological Perspective
Chiron and the Healing Journey: An Astrological and Psychological Perspective
   
From http://en.wikipedia.org/wiki/Srinivasa_Aaiyangar_Ramanujan
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