Analytic number theory, also known as the study of the properties of numbers using analytic tools and methods, has several synonyms that are commonly used in mathematical literature. The field is sometimes referred to as the analysis of number-theoretic functions, which focuses on functions of complex variables and their properties. Other synonyms for analytic number theory include complex analysis in number theory, which emphasizes the role of complex analysis in understanding the distribution of prime numbers, and harmonic analysis in number theory, which studies the Fourier coefficients of number-theoretic functions. Regardless of the synonym used, these disciplines all share the common goal of using analytic tools to investigate the properties of numbers and their behaviors.