Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#1 2011-05-01 22:28:26
- Kryptex_android
- Member
- Registered: 2011-04-17
- Posts: 5
bernouli
need help with this guys.
Prove for all integers m ≥ 3, there is a bound |B(m)| < 3.289868... x m!/{(2*pi)^m}, where B(m) denotes the mth-Bernoulli number.
Offline
#2 2011-05-01 22:37:57
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: bernouli
Hi;
I am not saying I am on to something here but I would feel comfortable with a few more digits of this constant 3.289868...
Or does it have an exact form?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#3 2011-05-01 22:53:58
- Kryptex_android
- Member
- Registered: 2011-04-17
- Posts: 5
Re: bernouli
i was told 2 use the riemann zeta function. got stuck. can u manage?
Offline
#4 2011-05-01 23:05:52
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: bernouli
I will try but I am currently swamped on other problems that are first. Also do you know the exact value of that constant?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#5 2011-05-01 23:41:51
- Kryptex_android
- Member
- Registered: 2011-04-17
- Posts: 5
Re: bernouli
nope. thats all i got.
Offline
#6 2011-05-01 23:48:14
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: bernouli
Hi;
Okay, I will try using the zeta function. I will post if I get something.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#7 2011-05-02 00:08:48
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: bernouli
Hi,
From http://en.wikipedia.org/wiki/Bernoulli_number#Asymptotic_approximation -
So that constant is
Last edited by gAr (2011-05-02 00:09:49)
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
#8 2011-05-02 00:11:45
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: bernouli
Hi gAr;
I just got there! Had he identified the constant like I asked him I would have found it faster. Anyway good work.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#9 2011-05-02 00:17:08
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: bernouli
Hi bobbym,
Okay, thank you.
Let's aim for accuracy instead of speed !
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
#10 2011-05-02 02:19:35
- Kryptex_android
- Member
- Registered: 2011-04-17
- Posts: 5
Re: bernouli
thanx guys. ur awesome!
Offline
#11 2011-05-02 02:27:44
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: bernouli
Hi Kryptex_android,
You're welcome.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline