A theorem of Ingham implying that Dirichlet’s \(L\)-functions have no zeros with real part one. (English) Zbl 0908.11041

Bateman, Paul T.

Enseign. Math., II. Sér. 43, No. 3-4, 281-284 (1997).

The paper contains a variant of the proof of Ingham’s theorem about the non-vanishing at \(s= 1\) of certain Dirichlet series with completely bounded multiplicative coefficients.

Reviewer: A.Perelli (Genova)

MSC:

11M20	Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\)
11M41	Other Dirichlet series and zeta functions

Keywords:

non-vanishing of Dirichlet series; Ingham’s theorem