Rezvyakova Irina Sergeevna

Total publications: 18
Scientific articles: 16
in MathSciNet: 11
in zbMATH: 8
in Web of Science: 10
in Scopus: 11
Cited articles: 8
Citations in Math-Net.Ru: 16
Citations in MathSciNet (by Sep 2017): 12
Citations in Web of Science: 17
Citations in Scopus: 9
Presentations: 9

Number of views:
This page:3221
Abstract pages:2712
Full texts:692
Candidate of physico-mathematical sciences (2005)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7 (495) 939 17 67
E-mail: , ,
Keywords: Riemann zeta-function, zeros on the critical line, sieve methods.
UDC: 511
MSC: 11M26


Analytic number theory.

Main publications:
  1. I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
List of publications on Google Scholar

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |

1. I. S. Rezvyakova, “Additive Problem with the Coefficients of Hecke $L$-Functions”, Proc. Steklov Inst. Math., 296 (2017), 234–242  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

2. I. S. Rezvyakova, “On the zeros of linear combinations of L-functions of degree two on the critical line. Selberg's approach”, Izv. Math., 80:3 (2016), 602–622  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus

3. I. S. Rezvyakova, “Selberg’s method in the problem about the zeros of linear combinations of $L$-functions on the critical line”, Dokl. Math., 92:1 (2015), 448–451  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
4. I. S. Rezvyakova, “On the zeros of the Epstein zeta-function on the critical line”, Russian Math. Surveys, 70:4 (2015), 785–787  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)
5. E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, V. N. Chubarikov, “On the conference to the memory of Anatoly Alexeevitch Karatsuba on number theory and applications”, Chebyshevskii Sb., 16:1 (2015), 89–152  mathnet  mathscinet  elib

6. I. S. Rezvyakova, An additive problem with the Fourier coefficients of holomorphic non-cusp forms, Conference Paper, 2014 , Presentation on the conference: Zeta Functions 5 (Moscow)  crossref

7. I. S. Rezvyakova, “Zeros of the Epstein zeta function on the critical line.”, Palanga Conference in Combinatorics and Number Theory (Palanga, 1–7 September 2013), Vilnius University, 2013, 47
8. Irina Rezvyakova, “Zeros of linear combinations of degree two L-functions on the critical line: Selberg's method”, Abstract book (28th Journées Arithmétiques, July 1–5, 2013, University Joseph Fourier Grenoble I, Grenoble, France), University Joseph Fourier Grenoble I, 2013, 74

9. I. Rezvyakova, On the critical line zeros of $L$-functions attached to automorphic cusp forms, 2012 , 20 pp., arXiv: 1212.2948
10. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolëv, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Nauchnye dostizheniya Anatoliya Alekseevicha Karatsuby”, Matematika i informatika, 1, K 75-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 16, MIAN, M., 2012, 7–30  mathnet  crossref  zmath  elib; S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  crossref  zmath  isi  scopus

11. I. S. Rezvyakova, “On the zeros of Hecke $L$-functions and their linear combinations on the critical line”, 27th Journées Arithmétiques (June 27 – July 1, 2011, Vilnius, Lithuania), Vilnius University, Vilnius, Lithuania, 2011

12. I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
13. I. S. Rezvyakova, “On the Zeros on the Critical Line of $L$-Functions Corresponding to Automorphic Cusp Forms”, Math. Notes, 88:3 (2010), 423–439  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
14. I. S. Rezvyakova, “On zeros of Hecke $L$-functions and their linear combinations on the critical line”, Dokl. Math., 81:2 (2010), 303–308  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

15. I. S. Rezvyakova, One metric result about analytic continuation of some Dirichlet series, 2007 , 4 pp., arXiv: 0712.1414

16. I. S. Rezvyakova, “On simple zeros of derivatives of the Riemann $\xi$-function”, Izv. Math., 70:2 (2006), 265–276  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

17. I. S. Rezvyakova, “On the number of zeros of the derivatives of the Riemann $\xi$-function on the critical line”, Dokl. Math., 71:1 (2005), 89–91  mathnet  mathscinet  elib  elib  scopus
18. I. S. Rezvyakova, “Zeros of the derivatives of the Riemann $\xi$-function”, Izv. Math., 69:3 (2005), 539–605  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus

Presentations in Math-Net.Ru
1. Zeros of the Epstein zeta-function
I. S. Rezvyakova
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 27, 2017 12:45   
2. О некоторых результатах, связанных с гипотезой Римана
I. S. Rezvyakova
Steklov Mathematical Institute Seminar
May 18, 2017 16:00   
3. Following in the footsteps of Selberg: an analogue of the Riemann hypothesis, a density theorem and a disrtibution law for the values of $L$-functions (and their linear combinations) on the critical line
I. S. Rezvyakova
Matsbornik-150: algebra, geometry, analysis
November 9, 2016 10:00   
4. Selberg method and an additive problem in the theory of $L$-functions
I. S. Rezvyakova
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 29, 2016 12:00   
5. On the Selberg density theorem and its connection to other problems on L-functions
I. S. Rezvyakova
Contemporary Problems in Number Theory
July 31, 2014 12:45
6. On a one proof of Selberg's density theorem
I. S. Rezvyakova
Conference in memory of A. A. Karatsuba on number theory and applications
January 31, 2014 16:35   
7. Zeros of linear combinations of Hecke $L$-functions on the critical line
I. S. Rezvyakova
International Chinese-Russian conference on Number Theory
October 9, 2012 12:30   
8. Круговой метод М. Ютилы и его применение к аддитивной проблеме с коэффициентами Фурье автоморфных параболических форм
I. S. Rezvyakova
Contemporary Problems in Number Theory
May 3, 2012 12:45
9. An additive type problem for the Fourier coefficients of automorphic cusp forms and its application to the zeros of the associated $L$-functions on the critical line
I. Rezvyakova
International symposium "Arithmetic days in Moscow"
June 17, 2011 15:30   

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