Access

You are not currently logged in.

Access JSTOR through your library or other institution:

login

Log in through your institution.

Journal Article

The Spiral of Theodorus and Sums of Zeta-values at the Half-integers

David Brink
The American Mathematical Monthly
Vol. 119, No. 9 (November 2012), pp. 779-786
DOI: 10.4169/amer.math.monthly.119.09.779
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.09.779
Page Count: 8

You can always find the topics here!

Topics: Analytics, Mathematical constants, Integers, Angular separation, Polynomials
Were these topics helpful?
See somethings inaccurate? Let us know!

Select the topics that are inaccurate.

Cancel
  • Download ($19.00)
  • Subscribe ($19.50)
  • Add to My Lists
  • Cite this Item
The Spiral of Theodorus and Sums of Zeta-values at the Half-integers
Preview not available

Abstract

Abstract The total angular distance traversed by the spiral of Theodorus is governed by the Schneckenkonstante K introduced by Hlawka. The only published estimate of K is the bound K ≤ 0:75. We express K as a sum of Riemann zeta-values at the half-integers and compute it to 100 decimal places. We find similar formulas involving the Hurwitz zeta-function for the analytic Theodorus spiral and the Theodorus constant introduced by Davis.

Page Thumbnails