Artin's Conjecture

There are at least two statements which go by the name of Artin's conjecture. The first is the Riemann Hypothesis. The second states that every Integer not equal to or a Square Number is a primitive root modulo forinfinitely many and proposes a density for the set of such which are always rational multiples of a constant knownas Artin's Constant. There is an analogous theorem for functions instead of numbers which has been proved by Billharz (Shanks 1993, p. 147).

References

Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 31, 80-83, and 147, 1993.

• Vandiver's Criteria
• Vanishing Point
• van Kampen's Theorem
• van Wijngaarden-Deker-Brent Method
• Varga's Constant
• Variance
• Difference of Successes
• Difference Operator
• Difference Quotient
• Difference Set
• Difference Table
• Different
• Differentiable
• Differentiable Manifold
• Differential
• Differential Calculus
• Differential Equation
• Differential Form
• Differential Geometry
• Differential k-Form
• Differential Operator
• Differential Structure
• Differential Topology
• Differentiation
• Different Prime Factors