@article{RSMUP_1985__73__31_0, author = {Nowak, Werner Georg}, title = {An $\Omega _+$-estimate for the number of lattice points in a sphere}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {31--40}, publisher = {Seminario Matematico of the University of Padua}, volume = {73}, year = {1985}, zbl = {0519.10042}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1985__73__31_0/} }
TY - JOUR AU - Nowak, Werner Georg TI - An $\Omega _+$-estimate for the number of lattice points in a sphere JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1985 SP - 31 EP - 40 VL - 73 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1985__73__31_0/ LA - en ID - RSMUP_1985__73__31_0 ER -
%0 Journal Article %A Nowak, Werner Georg %T An $\Omega _+$-estimate for the number of lattice points in a sphere %J Rendiconti del Seminario Matematico della Università di Padova %D 1985 %P 31-40 %V 73 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1985__73__31_0/ %G en %F RSMUP_1985__73__31_0
Nowak, Werner Georg. An $\Omega _+$-estimate for the number of lattice points in a sphere. Rendiconti del Seminario Matematico della Università di Padova, Tome 73 (1985), pp. 31-40. http://www.numdam.org/item/RSMUP_1985__73__31_0/
[1] On the representation of a number as the sum of three squares, Trans. Amer. Math. Soc., 71 (1951), pp. 70-101. | MR | Zbl
,[2] On the average order of a class of arithmetical functions I, II, J. Number Theory, 3 (1971), pp. 184-203 and 288-305. | MR | Zbl
,[3] Hecke's functional equation and the average order of arithmetical functions, Acta Arith., 6 (1961), pp. 487-503. | MR | Zbl
- ,[4] The lattice points in a circle, Chin. Math., 4 (1963), pp. 322-339. | MR | Zbl
,[5] A comment on K. S. Gangadharan's paper entitled « Two classical lattice point problems» (in Hungarian), Magyar. Tud. Akad. Mat. Fiz. Oszt. Közl., 17 (1967), pp. 89-97. | MR | Zbl
- ,[6] Einführung in die Gitterpunktlehre, Basel, Boston, Suttgart: Birkhäuser, 1982. | MR | Zbl
,[7] Two classical lattice point problems, Proc. Cambridge, 57 (1961), pp. 699-721. | MR | Zbl
,[8] On the average order of a class of arithmetical functions, J. Number Theory, 15 (1982), pp. 36-76. | MR | Zbl
,[9] On the expression of a number as the sum of two squares, Quart. J. Math., 46 (1915), pp. 263-283. | JFM
,[10] Some results in the divisor problems, to appear.
,[11] Elementary number theory, 2nd ed., New York, Chelsea Publ. Co., 1955. | MR | Zbl
,[12] Omega theorems for a class of Dirichlet series, Rocky Mt. J. Math., 9 (1979), pp. 733-748. | MR | Zbl
,[13] Beiträge zur Theorie der Laguerreschen Polynome, II: Zahlentheoretische Anwendungen, Math. Z., 25 (1926), pp. 388-404. | JFM | MR
,[14] 1 On the number of lattice points in a sphere (in Russian), Izv. Akad. Nauk. SSSR Ser. Mat., 27 (1963), pp. 957-968. | MR | Zbl
,[15] Special variants of the method of trigonometric sums (in Russian), Moscow, Nauka, 1976. | MR | Zbl
,