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Published in:

Volume 8 Issue 4
April-2021
eISSN: 2349-5162

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Published Paper ID:
JETIR2104409


Registration ID:
318921

Page Number

1534-1537

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Title

A SHORT REVIEW OF LITRATURE IN PARTITION THEORY

Abstract

The history of partition theory is very popular. Although it is believed that the first discovery of any depth was done in the 18th century, while some problems in partition came back in the middle ages when El Euilar proved many never-forgotten very essential and beautiful division theorem. In 20th century is a time in which Sh.Shrinivas Ramanujan considered as a great mathematician who had played an an important role in the area of maths born 22th December, 1887 in a small village in Tamil Nadu ( India),Sh.Srinivasa Ramanujan could not get higher education in mathematics .He died when he was 32 years old, in a short span of time, he is still remembered due to his excellent discoveries in the area of maths on, “partition theory, continuing fractions, q series, elliptic functions, definite integrals and mock- theta function”.If we consider ,number theory research field , “ the principle of division of numbers" is a necessary and wide part in maths, that was launched within the 18th century approximately .Leonard Euler was followed by Gauss, Jacobi, Schur, McMahon, and Andrews etc.. Discussion and study of the theory of division of numbers, together with Prof. G.H. Hardik, Ramanujan's work is known with a significant change in this area, Ramanujan and Hardy invented the circle theory during his tenure the first first estimate of the division of numbers beyond 200.

Key Words

Generating Function, analysis, Congruences , Division.

Cite This Article

"A SHORT REVIEW OF LITRATURE IN PARTITION THEORY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 4, page no.1534-1537, April-2021, Available :http://www.jetir.org/papers/JETIR2104409.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"A SHORT REVIEW OF LITRATURE IN PARTITION THEORY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 4, page no. pp1534-1537, April-2021, Available at : http://www.jetir.org/papers/JETIR2104409.pdf

Publication Details

Published Paper ID: JETIR2104409
Registration ID: 318921
Published In: Volume 8 | Issue 4 | Year April-2021
DOI (Digital Object Identifier):
Page No: 1534-1537
Country: -, -, India .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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