The First Person to Solve This Problem Wins The (Solution-2) Amount of Dollars

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The link to the money is in the solution. Define l ( x , y ) {l}({{x},{y}}) to be the Kronecker Delta Function.

Find ∑ 0 ∞ l ( i n , j n ) \sum_0^{\infty}{l}({i}_{n},{j}_{n}) , where i n = n {{i}_{n}}={n} and j n = n 3 {j}_{n}={n}^{3}


The answer is 2.

Aaryan Vaishya by aaryan vaishya , 14, USA

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1 solution

Aaryan Vaishya
Oct 31, 2019

For the Kronecker Delta function to have a value that is not 0, i n {i}_{n} must equal ({j}_{n}). That means we are looking for the solutions to the equation n=n^3, which are(in the integers ) 0,1. So the value of the sum above is 2x1=2.

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Also no money because 2-2 = 0.

aaryan vaishya - 1 year, 7 months ago

You owe me 2 dollars for answering this question just to see THIS.( I didnt get help) There wasn't a link either. by the way, the answer was in the title of this problem.

Saketh growl - 1 year, 4 months ago

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