My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Reply
 
LinkBack Thread Tools Display Modes
December 11th, 2018, 07:33 AM   #1
Newbie
 
Joined: Dec 2018
From: Sacramento

Posts: 3
Thanks: 0

Question 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.
Lealer is offline  
 
December 11th, 2018, 09:08 AM   #2
Newbie
 
Joined: Dec 2018
From: Sacramento

Posts: 3
Thanks: 0

Lealer is offline  
December 11th, 2018, 09:09 AM   #3
Newbie
 
Joined: Dec 2018
From: Sacramento

Posts: 3
Thanks: 0

Lealer is offline  
December 11th, 2018, 12:51 PM   #4
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,659
Thanks: 2635

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.
v8archie is online now  
Reply

  My Math Forum > College Math Forum > Number Theory

Tags
ant, apostol, intro



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Stuck with these problems from Tom Apostol vol 1 GumDrop Calculus 31 June 12th, 2016 11:52 AM
Intro LarryAR New Users 25 February 20th, 2013 09:28 AM
Help with logic/analysis/understaning concepts Apostol# 1.19 sendthis Real Analysis 2 October 24th, 2011 12:54 PM
Proof of Green's theorem in Apostol book kellypedro Real Analysis 1 May 6th, 2010 03:48 AM
Green Theorem in Apostol Book kellypedro Calculus 0 April 26th, 2010 08:43 AM





Copyright © 2019 My Math Forum. All rights reserved.