Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 631-637
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Yu. I. Manin. The values of $p$-adic Hecke series at integer points of the critical strip. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 631-637. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a11/
@article{SM_1974_22_4_a11,
author = {Yu. I. Manin},
title = {The values of $p$-adic {Hecke} series at integer points of the critical strip},
journal = {Sbornik. Mathematics},
pages = {631--637},
year = {1974},
volume = {22},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1974_22_4_a11/}
}
TY - JOUR
AU - Yu. I. Manin
TI - The values of $p$-adic Hecke series at integer points of the critical strip
JO - Sbornik. Mathematics
PY - 1974
SP - 631
EP - 637
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/SM_1974_22_4_a11/
LA - en
ID - SM_1974_22_4_a11
ER -
%0 Journal Article
%A Yu. I. Manin
%T The values of $p$-adic Hecke series at integer points of the critical strip
%J Sbornik. Mathematics
%D 1974
%P 631-637
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1974_22_4_a11/
%G en
%F SM_1974_22_4_a11
In this paper we prove that the values of $p$-adic Hecke series at integer points of the critical strip in essence coincide with the classical ones. We derive a $p$-adic functional equation. Bibliography: 2 titles.
