Zeros on the critical line of Dirichlet series associated with Hilbert modular forms
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions, Tome 76 (1978), pp. 89-123
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The relation is studied between the behavior of Hilbert modular forms in a neighborhood of some manifold and the zeros on the critical line of the associated Dirichlet series. The results are applied to Eisenstein series associated with quadratic forms over real quadratic fields.
@article{ZNSL_1978_76_a5,
author = {V. G. Zhuravlev},
title = {Zeros on the critical line of {Dirichlet} series associated with {Hilbert} modular forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {89--123},
year = {1978},
volume = {76},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a5/}
}
V. G. Zhuravlev. Zeros on the critical line of Dirichlet series associated with Hilbert modular forms. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions, Tome 76 (1978), pp. 89-123. http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a5/