identity in analytic number theory

Identity in analytic number theory is a rigorously proven equality, often involving series, integrals, or arithmetic functions, that reveals structural relationships between number-theoretic objects and underpins analytic techniques such as transforms, convolutions, and explicit formulas.

Aliases (1)

• q-series identity ×1

Instances (2)

• Euler product formula for the Riemann zeta function
• Rogers–Ramanujan-type identities ("q-series identity")