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Convergent

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(1) An analysis, convergent means tending towards some definite finite value. (2) In the theory of continued fractions, a convergent is a partial sum of continued fraction terms.

Convergent is a college-level concept that would be first encountered in a number theory course.

Examples

Convergent Series: A convergent series is a series for which partial sums become arbitrarily close to some fixed number.

Prerequisites

Continued Fraction: A continued fraction is a real number expressed as a nested fraction. Such representations may be particularly useful in number theory.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
  • Perfect Number
  • Diophantine Equation
  • Prime Counting Function
  • Divisor Function
  • Prime Factorization Algorithms
  • Euclidean Algorithm
  • Prime Number Theorem
  • Euler-Mascheroni Constant
  • Quadratic Reciprocity Theorem
  • Fermat's Last Theorem
  • Squarefree
  • Number Theory
  • Totient Function
  • Partition
  • Transcendental Number