Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 110-120
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P. G. Zograf; L. A. Takhtadzhyan. The potential of the Weil-Petersson metric on Torelli space. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 110-120. http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a10/
@article{ZNSL_1987_160_a10,
author = {P. G. Zograf and L. A. Takhtadzhyan},
title = {The potential of the {Weil-Petersson} metric on {Torelli} space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {110--120},
year = {1987},
volume = {160},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a10/}
}
TY - JOUR
AU - P. G. Zograf
AU - L. A. Takhtadzhyan
TI - The potential of the Weil-Petersson metric on Torelli space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 110
EP - 120
VL - 160
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a10/
LA - ru
ID - ZNSL_1987_160_a10
ER -
%0 Journal Article
%A P. G. Zograf
%A L. A. Takhtadzhyan
%T The potential of the Weil-Petersson metric on Torelli space
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 110-120
%V 160
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a10/
%G ru
%F ZNSL_1987_160_a10
It is proved that the function $12\pi\log(Z^\prime(1)/\det\operatorname{Im}\tau)$, where $Z(s)$ is Sel'berg zeta function and $\tau$ is the matrix of the periods of a distinguished Riemann surface, is a potential of the Weil-Petersson metric on the Torelli space.
