Application of the Shimura lift to the problem of representation of large numbers by ternary quadratic forms
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 21-26
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One obtains an asymptotic formula for the number of the representations of numbers, divisible by a large square, by a positive ternary integral quadratic form. One gives an estimate of the remainder, unimprovable with respect to the quadratic part and uniform with respect to the square-free part of the represented number.
@article{ZNSL_1985_144_a1,
author = {E. P. Golubeva},
title = {Application of the {Shimura} lift to the problem of representation of large numbers by ternary quadratic forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {21--26},
publisher = {mathdoc},
volume = {144},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a1/}
}
TY - JOUR AU - E. P. Golubeva TI - Application of the Shimura lift to the problem of representation of large numbers by ternary quadratic forms JO - Zapiski Nauchnykh Seminarov POMI PY - 1985 SP - 21 EP - 26 VL - 144 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a1/ LA - ru ID - ZNSL_1985_144_a1 ER -
E. P. Golubeva. Application of the Shimura lift to the problem of representation of large numbers by ternary quadratic forms. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 21-26. http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a1/