December 11th, 2018, 07:33 AM  #1 
Newbie Joined: Dec 2018 From: Sacramento Posts: 3 Thanks: 0  Apostol's intro to ANT
In chapter 3 of Apostol's introduction to Analytic Number Theory, after proving Euler's Summation Formula he uses it to calculate the partial sums of a few series. This is theorem 3.2, and in part (a), I am not sure where he gets the +1 term from. It has to come from the f(y)([y]y) expression in the formula, but this evaluated at y=1 should be zero. Any help would be great, thank you.

December 11th, 2018, 09:08 AM  #2 
Newbie Joined: Dec 2018 From: Sacramento Posts: 3 Thanks: 0  
December 11th, 2018, 09:09 AM  #3 
Newbie Joined: Dec 2018 From: Sacramento Posts: 3 Thanks: 0  
December 11th, 2018, 12:51 PM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,685 Thanks: 2665 Math Focus: Mainly analysis and algebra 
Perhaps you should post more detail. My copy of Apostol doesn't have the theorem you are talking about (it might be the wrong book or the wrong edition). Others won't have Apostol at all.
Last edited by skipjack; December 11th, 2018 at 02:00 PM. 

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