On the cubic $L$-function
Algebra i analiz, Tome 24 (2012) no. 2, pp. 230-256.

Voir la notice de l'article provenant de la source Math-Net.Ru

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N. V. Proskurin. On the cubic $L$-function. Algebra i analiz, Tome 24 (2012) no. 2, pp. 230-256. http://geodesic.mathdoc.fr/item/AA_2012_24_2_a7/

[1] Kubota T., On automorphic functions and the reciprocity law in a number field, Lecture in Math. Kyoto Univ., 2, Kinokuniya Book-Store Co., Ltd., Tokyo, 1969 | MR | Zbl

[2] Patterson S. J., “A cubic analogue of the theta series. I”, J. Reine Angew. Math., 296 (1977), 125–161 | MR | Zbl

[3] Proskurin N. V., “Cubic metaplectic forms and theta functions”, Lecture Notes in Math., 1677, Springer-Verlag, Berlin, 1998 | MR | Zbl

[4] Proskurin N. V., “Vychislenie nulei $L$-funktsii, assotsiirovannoi s kubicheskoi teta-funktsiei”, Zap. nauch. semin. POMI, 357, 2008, 180–194 | MR | Zbl

[5] Proskurin N. V., “O probleme vychisleniya znachenii $L$-funktsii”, Zap. nauch. semin. POMI, 373, 2009, 273–279

[6] Proskurin N. V., “O raspredelenii nulei kubicheskoi $L$-funktsii”, Zap. nauch. semin. POMI, 383, 2010, 144–147 | MR

[7] Proskurin N. V., “Vychisleniya znachenii $L$-funktsii i polinomy Chebysheva”, Zap. nauch. semin. POMI, 387, 2011, 163–166

[8] Montgomery H. L., “The pair correlation of zeros of the zeta-function”, Analytic Number Theory (St. Louis Univ., 1972), Proc. Sympos. Pure Math., 24, Amer. Math. Soc., Providence, RI, 1973, 181–193 | MR

[9] Siegel C. L., “Contributions to the theory of the Dirichlet $L$-series and Epstein zeta-functions”, Ann. of Math. (2), 44:2 (1943), 143–172 | DOI | MR | Zbl

[10] Fomenko O. M., “O dzeta-funktsii Epshteina. II”, Zap. nauch. semin. POMI, 371, 2009, 157–170

[11] Ireland K., Rosen M., A classical introduction to modern number theory, Grad. Texts in Math., 84, Springer-Verlag, New York–Berlin, 1982 | MR | Zbl

[12] Hecke E., Vorlesungen über die Theorie der algebraischen Zahlen, Akad. Verlag-Ges., Leipzig, 1923 | Zbl

[13] Davenport H., Multiplicative number theory, Lectures in Adv. Math., 1, Markham Publ. Co., Chicago, IL, 1967 | MR | Zbl

[14] Olver F. W. J., Asymptotics and special functions, Acad. Press, New York–London, 1974 | MR | Zbl

[15] Lavrik A. F., “O funktsionalnykh uravneniyakh funktsii Dirikhle”, Izv. AN SSSR. Ser. mat., 31:2 (1967), 431–442 | MR | Zbl

[16] Lavrik A. F., “Priblizhennye funktsionalnye uravneniya funktsii Dirikhle”, Izv. AN SSSR. Ser. mat., 32:1 (1968), 134–185 | MR | Zbl

[17] Bourbaki N., Fonctions d'une variable réelle, Chapitres I–III, Herman, Paris, 1949 ; Chapitres IV–VII, 1951 | Zbl | Zbl

[18] Titchmarsh E. C., The theory of functions, Oxford Univ. Press, London, 1939

[19] Prachar K., Primzahlverteilung, Springer-Verlag, Berlin etc., 1957 | MR | Zbl

[20] Chandrasekharan K., Arithmetical functions, Grundlehren Math. Wiss., 167, Springer-Verlag, New York–Berlin, 1970 | MR | Zbl