Shivam Paradox: A New Perspective on the Summation of Squared Natural Numbers

Shivam R. Gupta

Abstract: The summation of natural numbers N =1+2+3+4+?. ? = - 1/12 was introduced by India's greatest mathematician Ramanujan, around 1913. This shocking summation is known by all mathematicians and has now become famous through multimedia. This paper introduces a new mathematical paradox, the SHIVAM PARADOX, which proposes that the summation of all squared natural numbers equals zero. This paradox is derived using integration, graphs, and limit notions.

Keywords: Mathematical Paradox, Summation, Squared Natural Numbers, SHIVAM PARADOX, Number Theory