Additive Combinatorics
The Riemann Zeta Function is a complex function defined for complex numbers, initially introduced as a series for real numbers greater than 1 and extended to other values through analytic continuation. It plays a crucial role in number theory, particularly in understanding the distribution of prime numbers, and connects deeply with both additive and multiplicative functions due to its properties and functional equation.
congrats on reading the definition of Riemann Zeta Function. now let's actually learn it.