Open Problems
- Among the numbers whose geometric mean of the coefficients ai in the continued fraction expansion apparently (based on numerical evidence) tends to Khinchin's constant are π, the Euler–Mascheroni constant γ, and Khinchin's constant itself. However, none of these limits has been rigorously established, even though it is known that almost all real numbers have this property.
- It is not known if Khinchin's constant is a rational, algebraic irrational or transcendental number.
Read more about this topic: Khinchin's Constant
Famous quotes containing the words open and/or problems:
“Why the jailer does not leave open his prison doors,—why the judge does not dismiss his case,—why the preacher does not dismiss his congregation! It is because they do not obey the hint God gives them, nor accept the pardon which he freely offers to all.”
—Henry David Thoreau (1817–1862)
“Currently, U.S. society has been encouraged by its political and subsidized mass-media intelligentsia to view U.S. life as a continual “morning in America” paradise, where the only social problems occur in the inner cities. Psychologists call this denial.”
—Ishmael Reed (b. 1938)