Geodesic
On Rieman--Siegel formula for the derivatives of Hardy's function
Algebra i analiz, Tome 29 (2017) no. 4, pp. 53-81.

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

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     author = {M. A. Korolev},
     title = {On {Rieman--Siegel} formula for the derivatives of {Hardy's} function},
     journal = {Algebra i analiz},
     pages = {53--81},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2017_29_4_a2/}
}
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M. A. Korolev. On Rieman--Siegel formula for the derivatives of Hardy's function. Algebra i analiz, Tome 29 (2017) no. 4, pp. 53-81. http://geodesic.mathdoc.fr/item/AA_2017_29_4_a2/

[1] Titchmarsh E. C., “On van der Corput's method and the zeta-function of Riemann. (IV)”, Quart. J. Math., 5 (1934), 98–105 | DOI | Zbl

[2] Mozer Ya., “Ob odnoi summe v teorii dzeta-funktsii Rimana”, Acta Arith., 31:1 (1976), 31–43 | MR | Zbl

[3] Mozer Ya., “Ob odnoi teoreme Khardi–Littlvuda v teorii dzeta-funktsii Rimana”, Acta Arith., 31:1 (1976), 45–51 | MR

[4] Mozer Ya., “O zakone Grama v teorii dzeta-funktsii Rimana”, Acta Arith., 32:2 (1977), 107–113 | MR

[5] Mozer Ya., “Arifmeticheskii analog odnoi formuly Khardi–Littlvuda v teorii dzeta-funktsii Rimana”, Acta Math. Univ. Comenian., 37 (1980), 109–120 | Zbl

[6] Mozer Ya., “Ob odnoi avtokorrelyatsionnoi summe v teorii dzeta-funktsii Rimana”, Acta Math. Univ. Comenian., 37 (1980), 121–134 | Zbl

[7] Kalpokas J., Steuding J., “On the value-distribution of the Riemann zeta-function on the critical line”, Mosc. J. Comb. Number Theory, 1:1 (2011), 26–42 | MR | Zbl

[8] Siegel C. L., “Über Riemanns Nachlaß zur analytischen Zahlentheorie”, Quellen Stud. Geshichte Math. Astronom. Phys., 2 (1932), 45–80 ; C. L. Siegel, Gesammelte Abhandlungen, v. 1, Springer-Verlag, Berlin, 1966, 275–310 | Zbl | DOI | MR

[9] Berry M. V., “The Riemann–Siegel expansion for the zeta function: high orders and remainders”, Proc. Roy. Soc. London Ser. A, 450:1939 (1995), 439–462 | DOI | MR | Zbl

[10] Karatsuba A. A., “O rasstoyanii mezhdu sosednimi nulyami dzeta-funktsii Rimana, lezhaschimi na kriticheskoi pryamoi”, Tr. MIAN SSSR, 157, 1981, 49–63 | MR | Zbl

[11] Lavrik A. A., “Ravnomernye priblizheniya i nuli v korotkikh intervalakh proizvodnykh $Z$-funktsii Khardi”, Anal. Math., 17:4 (1991), 257–279 | DOI | MR | Zbl

[12] Aski R., Roi R., Endryus Dzh., Spetsialnye funktsii, MTsNMO, M., 2013

[13] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953 | MR