Triple

Target class: family of arithmetic functions
Context triple: [Jordan’s totient functions, instanceOf, family of arithmetic functions]

• A. arithmetical function chosen
  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.
• B. 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.
• C. result in additive number theory
  A result in additive number theory is a theorem or proposition that describes how integers can be expressed as sums of other integers, often revealing structural or combinatorial properties of sets under addition.
• D. L-function
  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. object of analytic number theory
  An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
• F. None of above.