Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 33-87
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One gives a detailed presentation of a new modification of the discrete ergodic method outlined in A. V. Malyshev's note (this Zapiski, 50, 179–186 (1975)). One gives new proofs for the asymptotic formulas obtained in Chap. VI of A. V. Malyshev's monography (Tr. Mat. Inst. Akad. Nauk SSSR, 65 (1962)). One obtains estimates for the remainder terms of this formulas under the assumption of some hypotheses about the zeros of Dirichlet's $L$-functions.
@article{ZNSL_1979_82_a2,
author = {A. V. Malyshev and U. M. Pachev},
title = {Representation of integers by positive ternary quadratic forms (a~new modification of the discrete ergodic method)},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {33--87},
year = {1979},
volume = {82},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a2/}
}
TY - JOUR AU - A. V. Malyshev AU - U. M. Pachev TI - Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method) JO - Zapiski Nauchnykh Seminarov POMI PY - 1979 SP - 33 EP - 87 VL - 82 UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a2/ LA - ru ID - ZNSL_1979_82_a2 ER -
%0 Journal Article %A A. V. Malyshev %A U. M. Pachev %T Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method) %J Zapiski Nauchnykh Seminarov POMI %D 1979 %P 33-87 %V 82 %U http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a2/ %G ru %F ZNSL_1979_82_a2
A. V. Malyshev; U. M. Pachev. Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method). Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 33-87. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a2/