| Title:
|
Нули арифметических рядов Дирихле (Russian) |
| Title:
|
Zeros of arithmetic Dirichlet series (English) |
| Author:
|
Karatsuba, Anatoliĭ Alekseevich |
| Language:
|
Russian |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
1994 |
| Pages:
|
633-649 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11M26 |
| MSC:
|
11M41 |
| idZBL:
|
Zbl 0824.11053 |
| idMR:
|
MR1338434 |
| . |
| Date available:
|
2009-09-25T11:02:51Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136634 |
| . |
| Reference:
|
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| Reference:
|
[2] DAVENPORT H.-HEILBRONN H.: On the zeros of certain Dirichlet series.J. London Math. Soc. 11 (1936), 181-185; 307-312. Zbl 0015.19802, MR 1574345 |
| Reference:
|
[3] BOPOHИH C. M.: O нyляx дзema-фyнкцuй квaдpamuчныx фopм.Tpyды MИAH 142 (1976), 136-147. |
| Reference:
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[4] BОPОHИH C. M.: O нyляx дзema-фyнкцuй квaдpamuчныx фopм.Дoкл. AH CCCP 235 (1977), 257-258. MR 0447190 |
| Reference:
|
[5] INGHAM A. E.: On the estimatгon of $N(\sigma,T)$.Quart. J. Math. 11 (1940), 291-292. MR 0003649 |
| Reference:
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[6] BОPОHИH C. M.: O нyляx нeкomopыx pядoв Дupuxлe, лeжaщux нa кpumuчecкoй npямoй.Изв. AH CCCP, Cep. Maт. 44 (1980), 63-91. |
| Reference:
|
[7] HEJHAL D. A.: Zeros of Epstein Zeta-Functions and Supercomputers.In: Proc. of the Internat. Congress of Math., Berkeley, California, 1986, pp. 1362-1384. MR 0934341 |
| Reference:
|
[8] BОMBIERI, E- HEJHAL D. A.: Sur les zeros des fonctions zeta ďEpstein.C.R. Acad. Sci. Paris Sér. I Math. 304 (1987), 213-217. |
| Reference:
|
[9] SELBERG A.: On the zeros of Riemann's zeta-function on the critical line.Arch. Math. of Naturv. 45 (1942), 101-104; On the zeros of Riemann's zeta-function, Skr. Norske Vid. Akad., Оslo 1942, 10. Zbl 0027.20201, MR 0012625 |
| Reference:
|
[10] KAPAЦУБA A. A.: O нyляx фyнкцuu Дэвeнnopma-Xeûльбpoннa, лeжащux нa кpumuчecкoй npямoй.Изв. AH CCCP, Cep. Maт. 54 (1990), 303-315. |
| Reference:
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[11] KAPAЦУBA A. A.: O нyляx apuфмemuчecкux pядoв Дupuxлe, нe uмeющux Эйлepoвa npouзвeдeнuя.Изв. PAH, Cep. Maт. 57 (1993), 3-14. |
| Reference:
|
[12] HARDY G. H.: Sur les zeros de la fonction Ç(s) de Riemann.C.R. Acad. Sci. 158 (1914), 1012-1014. |
| Reference:
|
[13] HARDY G. H.-LITLWООD J. E.: The zeros of Riemann's zeta-function on the critical line.Math. Z. 10 (1921), 283-317. MR 1544477 |
| Reference:
|
[14] SIEGEL C. L.: Uber Riemanns Nachlass zur analytischen Zahlentheorie.Quellen Stud. Gesch. Math., Astr., und Phуs. 2 (1932), 45-80. |
| Reference:
|
[15] KУЗЬMИH P. О.: O кopняx фyнкцuu Puмaнa $\dzeta(s)$.Дoклaды AH CCCP 2 (1934), 398-400. |
| Reference:
|
[16] LEVINSОN N.: More that third of the zeros of Riemann's zeta functionen are on $\sigma = \frac12$.Adv. Math. 13 (1974), 383-436. MR 0564081 |
| Reference:
|
[17] MОЗEP Я.: Heкomopыe cвoйcmвa дзema-фyнкцuu Puмaнa нa кpumuчecкoй npямоü.Acta Aгith. 26 (1974), 33-39. |
| Reference:
|
[18] MОЗEP Я.: Oб oднoй meopeмe Xapдu-Лummлвyдa в meopuu дзema-фyнкцuu Puмaнa.Acta Aгith. 31; 35 (1976; 1979), 45-51; 403-404. |
| Reference:
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[19] MОЗEP Я.: Oб oднoй cyммe в meopuu дзema-фyнкцuu Puмaнa.Acta Arith. 31 (1976), 31-43. |
| Reference:
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[20] MO3EP Я.: O зaкone Гpaмa в meopuu дзema-функцuu Puмaнa.Acta Arith. 32 (1977), 107-113. |
| Reference:
|
[21] MO3EP Я.: Доказательство гипотезы Е. К. Титчмарша в meopuu дзema-функцuu Puмaнa.Acta Arith. 36 (1980), 147-156. MR 0576580 |
| Reference:
|
[22] MO3EP Я.: О корнях уравнения Z'(t) = 0.Acta Arith. 40 (1981), 79-89; 97-107. |
| Reference:
|
[23] MO3EP Я.: Улучшение теоремы Харди-Литтлвуда о плотности нулей функции $\dzeta(\frac12 + it)$.Acta Math. Univ. Comenian. 42-43 (1983), 41-50. |
| Reference:
|
[24] MO3EP Я.: Некоторые следствия из формулы Римана-Зигеля.Труды МИАН 163 (1984), 183-185. |
| Reference:
|
[25] KAPAЦYБA A. A.: Дзета-функции Римана и ее нули.УМН 40 (1985), 19-70. MR 0810811 |
| Reference:
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[26] GABRIEL R. M.: Some results concerning the integrals of moduli of regular functions along certain curves.J. London Math. Soc. 2 (1927), 112-117. MR 1574583 |
| Reference:
|
[27] SELBERG A.: Old and new conjectures and results about class of Dirichlet series.In: Proceedings of the Amalfi Conference an Analytic Number Theory, 1992, Univ. di Salerno, pp. 367-385. MR 1220477 |
| . |
