Euler Product - Notable Constants

Notable Constants

Many well known constants have Euler product expansions.

Twin prime constant:

Landau-Ramanujan constant:

Murata's constant (sequence A065485 in OEIS):

Strongly carefree constant  A065472:

Artin's constant  A005596:

Landau's totient constant  A082695:

Carefree constant  A065463:

(with reciprocal)  A065489:

Feller-Tornier constant  A065493:

Quadratic class number constant  A065465:

Totient summatory constant  A065483:

Sarnak's constant  A065476:

Carefree constant  A065464:

Strongly carefree constant  A065473:

Stephens' constant  A065478:

Barban's constant  A175640:

Taniguchi's constant  A175639:

Heath-Brown and Moroz constant  A118228:

Read more about this topic:  Euler Product

Famous quotes containing the word notable:

    In one notable instance, where the United States Army and a hundred years of persuasion failed, a highway has succeeded. The Seminole Indians surrendered to the Tamiami Trail. From the Everglades the remnants of this race emerged, soon after the trail was built, to set up their palm-thatched villages along the road and to hoist tribal flags as a lure to passing motorists.
    —For the State of Florida, U.S. public relief program (1935-1943)