TOPICS
Search

Euler-Mascheroni Constant

Explore Euler-MascheroniConstant on MathWorld


The Euler-Mascheroni constant is the mathematical constant defined as the limit of the difference between the nth partial sum of the harmonic series and the natural logarithm of n which has value of approximately 0.577.

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

Prerequisites

Natural Logarithm: The natural logarithm is the logarithm having base e.
Number Theory: A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory.
Prime Number Theorem: The prime number theorem is a theorem in number theory that specifies the asymptotic frequency of prime numbers.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
  • Perfect Number
  • Continued Fraction
  • Prime Counting Function
  • Convergent
  • Prime Factorization Algorithms
  • Diophantine Equation
  • Quadratic Reciprocity Theorem
  • Divisor Function
  • Squarefree
  • Euclidean Algorithm
  • Totient Function
  • Fermat's Last Theorem
  • Transcendental Number
  • Partition