Explicit upper bounds for the Stieltjes constants
Let \(L\left( z,\chi \right) \) be the Dirichlet \(L\)-series corresponding to a primitive Dirichlet character \(\chi \) modulo \(q\). The author gives an explicit upper bounds for \(\left| \gamma _{n}\left( \chi \right) \right| \) for \( q\leq \frac{\pi }{2}\frac{e^{\left( n+1\right) /2}}{n+1}\), where \( \left( -1\right) ^{n}\frac{\gamma _{n}\left( \chi \right) }{n!}\) is the \(n\)-th coefficient of the Laurent expansion of \(L\left( z,\chi \right) \) near \( z=1.\)
scientific article; zbMATH DE number 6126851