number theory

by plzhelpme
Tags: number, theory
plzhelpme is offline
Dec4-05, 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?
Phys.Org News Partner Science news on
Review: With Galaxy S5, Samsung proves less can be more
Making graphene in your kitchen
Study casts doubt on climate benefit of biofuels from corn residue
shmoe is offline
Dec5-05, 09:40 AM
Sci Advisor
HW Helper
P: 1,996
You can prove it using Euler-MacLaurin 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 Euler-MacLaurin 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