Triple

Target class: generalization of Riemann zeta function
Context triple: [Hurwitz zeta function, instanceOf, generalization of Riemann zeta function]

• A. Dirichlet series
  A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-functions.
• B. special function
  A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
• C. arithmetical function
  An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
• D. L-function chosen
  An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
• E. generalization of Taylor series
  A generalization of Taylor series is an expansion technique that represents functions using broader sets of basis functions or more flexible convergence conditions than standard power series, allowing approximation of a wider class of functions.
• F. None of above.