27 May
2005
27 May
'05
7:42 p.m.
since 1/Product[(1 - 1/Prime[k]^w), {k, \[Infinity]}] equals Zeta[w], I wondered what this product becomes when specialising for either primes p with 4|(p+1) or primes q with 4|(q-1).
Numerics at w=2 point to 1.690 and 1.335 aboutish.
W. This is a relevant link: http://www.mathpages.com/home/kmath483.htm -- Mike Stay staym@clear.net.nz http://www.cs.auckland.ac.nz/~msta039