Publikationsdatum:
1990-01-01
Beschreibung:
A general value for∫abdtlogΓ(t), fora,bpositive reals, is derived in terms of the Hurwitzζfunction. That expression is checked for a previously known special integral, and the case whereais a positive integer andbis half an odd integer is considered. The result finds application in calculating the numerical value of the derivative of the Riemann zeta function at the point−1, a quantity that arises in the evaluation of determinants of Laplacians on compact Riemann surfaces.
Print ISSN:
0161-1712
Digitale ISSN:
1687-0425
Thema:
Mathematik