01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
25.08.1978
Keywords:
Hardy function, exponential pair, the Riemann zeta function, critical line.
UDC:
511
Subject:
The theory of the Riemann zeta function. Zeros Hardy function and its derivatives
Biography
2000 - graduated from the Faculty of Mathematics Chair for them. S.Ayni.
2009 - PhD. dissertation (MI AN RT), the theme of "The distance between consecutive zeros of the Riemann zeta function on the critical line", n. hands. - Professor Z.H.Rahmonov
Since 2009 - Senior Researcher, Department of number theory, algebra and topology of the Institute of Mathematics, Academy of Sciences of the Republic of Tajikistan.
Since 2014 - head of the department of algebra, number theory and topology of the Institute of Mathematics, Academy of Sciences of the Republic of Tajikistan
2023 - doctoral dissertation (IM AS RT), topic "Zeros of the derivatives of the Hardy and Davenport-Heilbronn functions lying in short intervals of the critical line;", n. consultant. - Academician Z.Kh. Rakhmonov
Main publications:
Sh.A.Khairulloev, “O sosednykh nulyakh proizvodnoi n-go poryadka funktsii Khardi”, Doklady Akademii nauk Respubliki Tadzhikistan, 62:3-4 (2019), 145-149 "elibrary.ru/item.asp?id=43002349"
Sh. A. Khairulloev, “O nulyakh arifmeticheskikh ryadov Dirikhle, ne imeyuschikh Eilerova proizvedeniya”, Izvestiya Akademii nauk Respubliki Tadzhikistan, 4:173 (2018), 7-25 "journals.anrt.tj/ofm_soder.php?kat=00023485_2018_-_4(173)"
Sh. A. Khairulloev, “Rasstoyanie mezhdu sosednimi nulyami proizvodnoi j -go poryadka funktsii Khardi”, Doklady Akademii nauk Respubliki Tadzhikistan, 59:5-6 (2016), 185-187 "elibrary.ru/item.asp?id=27318886"
Sh. A. Khairulloev, “Otsenka kolichestva nulei funktsii Devenporta-Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, Materialy mezhdunarodnoi konferentsii Voronezhskaya zimnyaya matematichenskaya shkola, Sovremennye metody teorii funktsii i smezhnye problemy (Voronezh, 27 yanvarya – 1 fevralya 2023 g.), VGU, Voronezh, 2023, 331-332 "vzmsh.math-vsu.ru/files/vzmsh2023.pdf"
2.
Sh. A. Khairulloev, “Primenenie algoritma optimizatsii eksponentsialnykh par k issledovaniyu nulei proizvodnoi funktsii Khardi”, Materialy mezhdunarodnoi nauchnoi konferentsii. V 2-kh tomakh., V sbornike: Ufimskaya osennyaya matematicheskaya shkola - 2023 (Ufa, 04-08 oktyabrya 2023 g.), eds. FAZULLIN Z.Yu., Izdatelstvo: Obschestvo s ogranichennoi otvetstvennostyu “Aeterna” (Ufa), 450076, g. Ufa, ul. Zaki Validi, d.32, 2023, 143-145 "conf-bashedu-fmit.ru/collection"
3.
Sh. A. Khairulloev, “Otsenka spetsialnykh kratnykh trigonometricheskikh summ”, VII mezhdunarodnaya nauchnaya konferentsiya «Nelokalnye kraevye zadachi i rodstvennye problemy matematicheskoi biologii, informatiki i fiziki» (4-8 dekabrya 2023 goda, Nalchik, Kabardino-Balkarskaya Respublika, Rossiya.), Kabardino-Balkarskogo gosudarstvennogo universiteta im. Kh. M. Berbekov, Nalchik, 2023, 285-286 "binak.niipma.ru/wp-content/uploads/2023/12/BINAK-2023.pdf"
4.
Sh. A. Khairulloev, “Ob otsenke kolichestva nulei funktsii Devenporta-Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, XXII Mezhdunarodnoi konferentsii «Algebra, teoriya chisel, diskretnaya geometriya i mnogomasshtabnoe modelirovanie: sovremennye problemy, prilozheniya i problemy istorii», posvyaschennoi 120-letiyu so dnya rozhdeniya akademika A.N.Kolmogorova i 60-letiyu so dnya otkritiya shkoly # 18 pri Moskovskom universitete (Tula. 26–29 sentyabrya 2023 g.), eds. N. M. Dobrovolskii, Tulskii gosudarstvennyi pedagogicheskii universitet im. L.N. Tolstogo, 2023, 198-199 "poivs.tsput.ru/conf/international/XXII/files/Conference2023S.pdf?v=4"
5.
Sh. A. Khairulloev, “O ravnomernykh po parametram otsenkakh spetsialnykh
trigonometricheskikh summ”, Materialy XXI Mezhdunarodnoi konferentsii,
posvyaschennoi 85-letiyu so dnya rozhdeniya
A. A Karatsuby, Algebra, teoriya chisel, diskretnaya geometriya
i mnogomasshtabnoe modelirovanie: sovremennye
problemy, prilozheniya i problemy istorii (Tula, 17-21 maya 2022 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2022, 211-213 "poivs.tsput.ru/conf/international/XXI/files/Conference2022M.pdf?v=3"
6.
Sh. A. Khairulloev, Nuli funktsii Khardi i ee proizvodnoi, lezhaschie na kriticheskoi pryamoi, Monografiya, Rusains, 117218, g. Moskva, ul. Kedrova, d. 14, korp. 2., 2022 , 88 pp. "https://book.ru/book/943388"
7.
Sh. A. Khayrulloev, “On real zeros of the derivative of the Hardy function”, Chebyshevskii Sb., 22:5 (2021), 234–240
8.
Sh. A. Khairulloev, “Rasstoyanie mezhdu sosednimi nulyami proizvodnoi j-go poryadka funktsii Khardi”, Doklady Natsionalnoi Akademii nauk Tadzhikistana, 64:3-4 (2021), 129-134 "/www.elibrary.ru/download/elibrary_47194577_48560311.pdf"
9.
Sh. A. Khairulloev, “O nulyakh proizvodnoi j – go poryadka funktsii Khardi”, V sbornike: Algebra, teoriya chisel i diskretnaya geometriya i mnogomasshtabnoe modelirovanie: sovremennye problemy, prilozheniya i problemy istorii, Materialy XIX Mezhdunarodnoi konferentsii, posvyaschennoi dvukhsotletiyu so dnya rozhdeniya akademika P.L. Chebysheva (Rossiya, g. Tula, 18–22 maya 2021 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2021, 193-194 "/poivs.tsput.ru/conf/international/XIX/files/Conference2021.pdf"
10.
Sh. A. Khairulloev, “O veschestvennykh nulyakh proizvodnoi pervogo poryadka funktsii Khardi”, V sbornike: Algebra, teoriya chisel, diskretnaya geometriya i mnogomasshtabnoe modelirovanie: sovremennye problemy, prilozheniya i problemy istorii, Materialy XX Mezhdunarodnoi konferentsii, posvyaschennoi 130-letiyu so dnya rozhdeniya akademika I. M. Vinogradova (Rossiya, g. Tula, 21–24 sentyabrya 2021 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2021, 120-122 "poivs.tsput.ru/conf/international/XX/files/Conference2021S.pdf"
11.
Sh. A. Khairulloev, “O nulyakh arifmeticheskikh ryadov Dirikhle, ne imeyuschikh Eilerova proizvedeniya”, V sbornike: Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii, Materialy XVIII Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professorov B.M. Bredikhina, V.I. Nechaeva i S.B. Stechkina (Rossiya, g. Tula, 23–26 sentyabrya 2020 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2020, 227-229 "poivs.tsput.ru/conf/international/XVIII/files/Conference2020.pdf"
12.
Sh.A.Khairulloev, “O sosednykh nulyakh proizvodnoi n-go poryadka funktsii Khardi”, Doklady Akademii nauk Respubliki Tadzhikistan, 62:3-4 (2019), 145-149 "elibrary.ru/item.asp?id=43002349"
13.
Sh. A. Khayrulloev, “On the functions of Hardy zeros and its derivatives lying on the critical line”, Chebyshevskii Sb., 20:4 (2019), 371–384
14.
Z. Kh. Rakhmonov, Sh. A. Khayrulloev, A. S. Aminov, “Zeros of the Davenport–Heilbronn function in short intervals of the critical line”, Chebyshevskii Sb., 20:4 (2019), 306–329
15.
Sh. A. Khairulloev, “Ob otsenke kratnoi trigonometricheskoi summy”, V sbornike: Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii, Materialy XVII Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu so dnya rozhdeniya professora N.I. Feldmana i 90-letiyu so dnya rozhdeniya professorov A.I.Vinogradova, A.V. Malysheva i B.F. Skubenko (Rossiya, g. Tula, 23-28 sentyabrya 2019 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2019, 119-121 "www.mathnet.ru/php/conference.phtml?confid=1530&option_lang=rus"
16.
Sh. A. Khairulloev, “Nuli proizvodnoi funktsii Khardi”, V sbornike: Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii, Materialy XVI Mezhdunarodnoi konferentsii, posvyaschennoi 80-letiyu so dnya rozhdeniya professora Mishelya Deza (Rossiya, g.Tula, 13-18 maya 2019), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2019, 207-210 "poivs.tsput.ru/conf/international/XVI/files/Conference2019M.pdf"
17.
Sh. A. Khairulloev, “Teorema o nulyakh proizvodnoi funktsii Khardi”, Sovremennye problemy matematiki i mekhaniki, Materialy mezhdunarodnoi konferentsii, posvyaschennoi 80-letiyu akademika RAN V. A. Sadovnichego (Moskva, 13-15 maya 2019 g.), eds. E.M. Bugacheva, MAKC npecc, 2019, 517-520 "www.mathnet.ru/ConfLogos/1548/articles.pdf"
18.
Sh. A. Khairulloev, “O nulyakh arifmeticheskikh ryadov Dirikhle, ne imeyuschikh Eilerova proizvedeniya”, Izvestiya Akademii nauk Respubliki Tadzhikistan, 4:173 (2018), 7-25 "journals.anrt.tj/ofm_soder.php?kat=00023485_2018_-_4(173)"
19.
Sh. A. Khairulloev, “Ob otsenke spetsialnoi trigonometricheskoi summy”, V sbornike: Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy i prilozheniya (Rossiya, Tula, 28-31 maya 2018 g.), eds. N. M. Dobrovolskii, TGPU im. L.N. Tolstogo, 2018, 245-246 "poivs.tsput.ru/conf/international/XV/files/conference2018.pdf"
20.
Sh. A. Khairulloev, “Rasstoyanie mezhdu sosednimi nulyami proizvodnoi j -go poryadka funktsii Khardi”, Doklady Akademii nauk Respubliki Tadzhikistan, 59:5-6 (2016), 185-187 "elibrary.ru/item.asp?id=27318886"
21.
Sh. A. Khairulloev, “O nulyakh proizvodnoi j-go poryadka funktsii Khardi”, Issledovaniya po algebre, teorii chisel, funktsionalnomu analizu i smezhnym voprosam (Saratov, 12-15 sentyabrya 2016 g.), eds. V.N. Kuznetsov, Izdatelstvo Saratovskogo universiteta, 2016, 106-108 "www.sgu.ru/sites/default/files/textdocsfiles/2019/12/06/sbornik_8.pdf"
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