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Search: Posts Made By: brownkenny
Forum: Math 2010-08-25, 01:04
Replies: 6
Views: 1,071
Posted By brownkenny
Wow that was quite a typo on my part. Nice catch!...

Wow that was quite a typo on my part. Nice catch!
I also investigated this with gp, and I'm beginning to believe the statement as stated is false.

To clarify, the sum I'm interested in is

S(x)...
Forum: Math 2010-08-24, 17:10
Replies: 6
Views: 1,071
Posted By brownkenny
In case you were wondering about my estimate for...

In case you were wondering about my estimate for \pi(x), I used that for every A > 0, we have

\pi(x) = li(x) \left( 1 + O \left( \frac{1}{\log^A x} \right) \right)

whenever x >= x(A) is...
Forum: Math 2010-08-24, 17:06
Replies: 6
Views: 1,071
Posted By brownkenny
Estimating a sum over primes

Hi everyone. Here's a problem I'm stuck on. I want to show that for x > 2,

S(x) = \sum_{p \leq x} \log^2 x = x \log x + O \left( \frac{x}{\log x} \right).

Using Stieltjes integration, I get to...
Forum: Software 2009-02-04, 16:20
Replies: 10
Views: 2,605
Posted By brownkenny
This doesn't exactly answer your question, but I...

This doesn't exactly answer your question, but I had a similar problem when I built my machine. The motherboard I bought supported both ddr2 800 and ddr2 1066 ram, just like yours. I bought two...
Forum: Math 2009-01-22, 17:21
Replies: 2
Views: 1,112
Posted By brownkenny
Thanks for the suggestion, Dr. Silverman. When I...

Thanks for the suggestion, Dr. Silverman. When I made the substitution I wound up with a log(log(n)) term in the denominator that I'm not sure how to get rid of.

I tried estimating some more, but...
Forum: Math 2009-01-22, 00:06
Replies: 2
Views: 1,112
Posted By brownkenny
Chebyshev's Estimates

I've been working through Tenenbaum's book "Introduction to Analytic and Probabilistic Number Theory" and I'm stuck on the proof of an upper bound for \pi(x).

For reference, it's Theorem 3 on page...
Showing results 1 to 6 of 6

 
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