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@article{IM2_1971_5_6_a1, author = {A. F. Lavrik}, title = {A~method for estimating double sums with real quadratic character, and applications}, journal = {Izvestiya. Mathematics }, pages = {1195--1214}, publisher = {mathdoc}, volume = {5}, number = {6}, year = {1971}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a1/} }
A. F. Lavrik. A~method for estimating double sums with real quadratic character, and applications. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1195-1214. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a1/
[1] Vinogradov I. M., Izbrannye trudy, AN SSSR, M., 1952 | MR | Zbl
[2] Dumman A., “Über einige asymptotishe Formeln”, Zh. Leningr. fiz.-matem. ob-va, 1 (1927), 313–322
[3] Lavrik A. F., “K probleme raspredeleniya znachenii chisla klassov chisto korennykh kvadratichnykh form otritsatelnogo opredelitelya”, Izv. AN UzSSR. Ser. fiz.-matem. nauk., 1959, no. 1, 81–90 | MR | Zbl
[4] Stepanov B. V., “O srednem znachenii $k$-oi stepeni chisla klassov dlya mnimogo kvadraticheskogo polya”, Dokl. AN SSSR, 124:5 (1959), 984–986 | MR | Zbl
[5] Barban M. B., ““Bolshoe resheto” Yu. V. Linnika i predelnaya teorema dlya chisla klassov idealov mnimogo kvadraticheskogo polya”, Izv. AN SSSR. Ser. matem., 26 (1962), 573–580 | MR | Zbl
[6] Barban M. B., “Metod “bolshogo resheta” i ego primenenie v teorii chisel”, Uspekhi matem. nauk, XXI:1(127) (1966), 51–102 | MR
[7] Barban M. B., Gordover G., “O momentakh chisla klassov chisto korennykh kvadratichnykh form otritsatelnogo opredelitelya”, Dokl. AN SSSR, 167:2 (1966), 267–269 | MR | Zbl
[8] Barban M. B., “O plotnostnoi gipoteze E. Bomberi”, Dokl. AN SSSR, 172:5 (1967), 999–1000 | MR
[9] Wolke Dieter, “Moments of the number of classes of primitive quadratic form with negative discriminant”, J. Number Theory, 1:4 (1969), 502–511 | DOI | MR | Zbl
[10] Lavrik A. F., “Funktsionalnoe uravnenie dlya $L$-funktsii Dirikhle i zadacha delitelei v arifmeticheskikh progressiyakh”, Izv. AN SSSR. Ser. matem., 30 (1966), 433–448 | MR | Zbl
[11] Lavrik A. F., “Dvoinye summy s kvadratichnym kharakterom”, Dokl. AN SSSR, 186:1 (1969), 19–21 | MR | Zbl
[12] Xasse G., Lektsii po teorii chisel, IL, M., 1953
[13] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1964
[14] Littlewood E., “On the class-number of the corpes”, Proc. London Math. Soc., 2 (1928), 24–31
[15] Paley R., “A theorem on characters.”, J. London Math. Soc., III (1938), 28–32
[16] Linnik Yu. V., “Ob odnoi uslovnoi teoreme I. E. Littlewood”, Dokl. AN SSSR, 37:4 (1942), 142–144 | MR
[17] Walfish A., “On the class-number of binary quadratic forms”, Trans. Inst. Math. Tbilisi, 1942, no. 11, 57–71 | MR
[18] Chowla S., “On the class-number of the corpur $R(\sqrt{-k})$”, Proc. Nat. Acad. Sci. India, 13 (1947), 197–200 | MR
[19] Chowla S., “Improrement of a theorem of Linnik and Walfish”, Proc. London Math. Soc.(2), 50 (1949), 423 | DOI | MR
[20] Bateman P., Chowla S., Erdös P., “Pemarks of the size of $L(1,\chi)$”, Publikationes Math., 1 (1949–1950), 165–182 | MR
[21] Radosskii K. K., “O nekotorykh otsenkakh velichin $L(1,\chi)$”, Dokl. AN SSSR, 86:5 (1952), 889–891
[22] Selberg A., “Harmonic analysis and discontinuous groups in weakly symmetric Riemmannian spaces with application to Dirichet series”, J. Indian Math. Soc., 20 (1956), 47–87 | MR | Zbl
[23] Lavrik A. F., “Ob $L(1,\chi)$ s veschestvennym kharakterom Dirikhle na redkikh mnozhestvakh znachenii modulya kharaktera”, Dokl. AN SSSR, 190:6 (1970), 1286–1288 | MR | Zbl
[24] Prakhar K., Raspredelenie prostykh chisel, Mir, M., 1967 | MR
[25] Leng S., Algebraicheskie chisla, Mir, M., 1966 | MR
[26] Golod E., Shafarevich I., “O bashne polei klassov”, Izv. AN SSSR. Ser. matem., 28 (1964), 261–272 | MR | Zbl
[27] Rokett P., “O bashne polei klassov”, Algebraicheskaya teoriya chisel, Mir, M., 1969
[28] Lavrik A. F., “Primechanie k teoreme Zigelya–Brauera otnositelno parametrov polei algebraicheskikh chisel”, Matem. zametki, 8:2 (1970), 259–263 | MR | Zbl