Stieltjes constants

Stieltjes constants are mathematical constants that arise in number theory and complex analysis, particularly in connection with the Riemann zeta function and Dirichlet series. They can be thought of as coefficients in a series that describes how values are distributed in certain mathematical sums. Each constant corresponds to a specific value and can provide insights into the behavior of various mathematical functions. Though they may seem abstract, Stieltjes constants play a crucial role in understanding deeper properties of numbers, particularly concerning prime numbers and their distribution.