Ramanujan Summation for Powers of Triangular and Pronic Numbers
Keyword(s):
The numbers which are sum of first n natural numbers are called Triangular numbers and numbers which are product of two consecutive positive integers are called Pronic numbers. The concept of Ramanujan summation has been dealt by Srinivasa Ramanujan for divergent series of real numbers. In this paper, I will determine the Ramanujan summation for positive integral powers of triangular and Pronic numbers and derive a new compact formula for general case.
2020 ◽
Vol 102
(1)
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pp. 39-49
1966 ◽
Vol 62
(4)
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pp. 637-642
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2021 ◽
Vol 14
(2)
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pp. 380-395
1982 ◽
Vol 31
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pp. 1-11