Ramanujan Summation for Classic Combinatorial Problem

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-8
Year of Publication : 2021
Authors : Dr. R. Sivaraman


MLA Style: Dr. R. Sivaraman "Ramanujan Summation for Classic Combinatorial Problem" International Journal of Mathematics Trends and Technology 67.8 (2021):82-87. 

APA Style: Dr. R. Sivaraman(2021). Ramanujan Summation for Classic Combinatorial Problem International Journal of Mathematics Trends and Technology, 67(8), 82-87.

The concept of Ramanujan Summation has been dealt with several forms in recent decades. In this paper, I will define Ramanujan summation evaluated through a definite integral and using this, I had computed the Ramanujan summation for the divergent series whose terms represent the maximum number of regions formed by considering n points in the circumference of a circle which are joined by chords. This classic geometric problem along with Ramanujan summation method has produced an interesting and new result which is derived in detail in this paper.


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Keywords : Ramanujan Summation, Regions in a Circle, Binomial Coefficients, Newton’s Forward Interpolation Formula, Pascal’s Identity