My Math Forum Critical Strip

 Calculus Calculus Math Forum

 November 8th, 2012, 10:39 PM #1 Math Team     Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory Critical Strip Hello, everyone! Here's a nice property of zeta function; I would like to present it as an exercise : Prove that $\zeta(1+it)= \mathcal{O}$$\log t$$$ Balarka .
 November 13th, 2012, 12:09 AM #2 Math Team     Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory Re: Critical Strip Hint : consider the difference $\zeta(s) - \sum_{k=1}^{N} \frac{1}{k^s}$ and make N =Im[s].
 November 13th, 2012, 02:59 PM #3 Senior Member   Joined: Nov 2011 Posts: 595 Thanks: 16 Re: Critical Strip Hi Balarka, One thing I am wondering is why did you call your post "critical strip"? The critical strip is defined for 0
December 28th, 2012, 11:13 PM   #4
Math Team

Joined: Mar 2012
From: India, West Bengal

Posts: 3,871
Thanks: 86

Math Focus: Number Theory
Re: Critical Strip

Quote:
 Originally Posted by Dougy One thing I am wondering is why did you call your post "critical strip"?
I wanted a nice name for this post but couldn't find one. So, I gave it a name related to it.

Now prove this for $1 - \frac{A}{\log(t)} \le \Re[t] \le 2$ where A is any positive constant.

Does this modification makes the name much more proper?

Note: I am back in this forum after a long time so please forgive me for replying in an ancient posts :P

 December 29th, 2012, 04:40 AM #5 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 234 Re: Critical Strip WELCOME BACK!

 Tags critical, strip

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post whatever Number Theory 1 November 24th, 2012 05:13 PM pascal4542 Complex Analysis 0 March 7th, 2010 12:18 PM xianghu21 Real Analysis 0 March 6th, 2010 12:47 PM eskimo343 Complex Analysis 0 January 17th, 2010 11:15 AM symmetry Advanced Statistics 0 May 2nd, 2007 03:13 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top