Ramanujan Summation for Classic Combinatorial Problem

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-8
Year of Publication : 2021
Authors : Dr. R. Sivaraman
  10.14445/22315373/IJMTT-V67I8P510

MLA

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.

Abstract
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.

Reference

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