Register to reply 
Number theory 
Share this thread: 
#1
Dec405, 04:50 PM

P: 1

hi everybody, I have a question in math to figure out the general term for the sum of the pth powers of n integers. I found a formula called faulhabers formula to do this question, but I do not understand the method behind it. can someone please help me?



#2
Dec505, 09:40 AM

Sci Advisor
HW Helper
P: 1,994

You can prove it using EulerMacLaurin summation, where you essentially rewrite the sum as a Stieltjes integral then integrate by parts enough time that the remaining integrand is zero (the p+1 derivitative of x^p vanishes). Look up EulerMacLaurin summation (lot's of references).
Or are you trying to understand how to apply Faulhaber's in a given situation? It's just plug and chug, but you'll need to know what the Bernoulli numbers are (again, lots of references) 


Register to reply 
Related Discussions  
Number Theory: Calculating mod large number  Calculus & Beyond Homework  9  
Number Theory?  Linear & Abstract Algebra  6  
Measure theory and number theory?  Linear & Abstract Algebra  18  
Number theory help  Calculus & Beyond Homework  5  
Division theory..and Prime Number theory..  Linear & Abstract Algebra  3 