Let p be a prime and n a positive integer. Prove that o(d)r(d) = n(n+3) -...

 

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Let p be a prime and n a positive integer. Prove that Σo(d)r(d) = n(n+3) - (i − 1)(i + 2) 2 i=0 dipn I would suggest trying to prove it in the case of n = 3 first, then use that technique to prove it in general. The formula for the sum of a finite arithmetic series might be helpful here.) Let p be a prime and n a positive integer. Prove that Σo(d)r(d) = n(n+3) - (i − 1)(i + 2) 2 i=0 dipn I would suggest trying to prove it in the case of n = 3 first, then use that technique to prove it in general. The formula for the sum of a finite arithmetic series might be helpful here.)

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The image contains a mathematical problem concerning number theory and involves proving an identity that relates the sum of products of the divisor fu... View the full answer