"P(IAA100110502), Z(AV0Z50110509)" . . "point lattice; variance"@en . . "The aim of the paper is proof, that variance of number of lattice points inside the dilated bounded set rD with random position has asymptotics proportional to r^d-1 if the rotational average of quadrate of the modulus of the Fourier transform of the set is O(r^-d-1). The applications of the results are estimation of precision of estimates of volume by counting lattice points inside the set" . "Asymptotika variance po\u010Dtu m\u0159\u00ED\u017Eov\u00FDch bod\u016F"@cs . "Asymptotics of variance of the lattice point count" . . "CZ - \u010Cesk\u00E1 republika" . . "Asymptotics of variance of the lattice point count"@en . "357207" . "Czechoslovak Mathematical Journal" . "0011-4642" . . . "Asymptotics of variance of the lattice point count"@en . "58" . "3" . "RIV/67985823:_____/08:00315417!RIV09-AV0-67985823" . "8"^^ . "Asymptotics of variance of the lattice point count" . . "[E63A6C971F84]" . . "V \u010Dl\u00E1nku je dok\u00E1z\u00E1no, \u017Ee variance po\u010Dtu m\u0159\u00ED\u017Eov\u00FDch bod\u016F v dilatovan\u00E9 omezen\u00E9 mno\u017Ein\u011B rD s n\u00E1hodnou polohou je asymptoticky \u00FAm\u011Brn\u00E1 r^d-1 pokud je rota\u010Dn\u00ED pr\u016Fm\u011Br absolutn\u00ED hodnoty Fourierovy transformace t\u011Blesa O(r^-d-1). V\u00FDsledek m\u00E1 aplikace v odhadu p\u0159esnosti odhad\u016F objemu pomoc\u00ED po\u010D\u00EDt\u00E1n\u00ED m\u0159\u00ED\u017Eov\u00FDch bod\u016F v t\u011Blese"@cs . . "Jan\u00E1\u010Dek, Ji\u0159\u00ED" . "The aim of the paper is proof, that variance of number of lattice points inside the dilated bounded set rD with random position has asymptotics proportional to r^d-1 if the rotational average of quadrate of the modulus of the Fourier transform of the set is O(r^-d-1). The applications of the results are estimation of precision of estimates of volume by counting lattice points inside the set"@en . "1"^^ . . . . . "Asymptotika variance po\u010Dtu m\u0159\u00ED\u017Eov\u00FDch bod\u016F"@cs . "261955600013" . "RIV/67985823:_____/08:00315417" . . . "1"^^ . .