Proving the Zeta Function Formula for Even Integers: A Resource Guide

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SUMMARY

The Zeta Function Formula for even integers, expressed as zeta(n) = (pi)^n / (some number), is discussed in detail in chapter 4.5 of "On Euler's Footsteps: Uppsala Lectures on Calculus" by Evgeny Shchepin. This resource can be accessed online at the provided links. The discussion emphasizes the importance of this formula in understanding the properties of the Zeta function for even integers.

PREREQUISITES
  • Understanding of the Riemann Zeta Function
  • Familiarity with Euler's work in calculus
  • Basic knowledge of mathematical proofs
  • Access to "On Euler's Footsteps: Uppsala Lectures on Calculus" by Evgeny Shchepin
NEXT STEPS
  • Study the Riemann Zeta Function and its properties
  • Read chapter 4.5 of "On Euler's Footsteps: Uppsala Lectures on Calculus"
  • Explore mathematical proofs related to zeta functions
  • Investigate the historical context of Euler's contributions to calculus
USEFUL FOR

Mathematicians, students of advanced calculus, and researchers interested in number theory and the properties of the Zeta function.

nicksauce
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It seems like zeta(n) = (pi)^n / (some number), for even integers n. Can anyone point me to a proof of this?
 
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