I.S. Rezvyakova, The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line, 2024 , 75 pp., arXiv: 2411.18492
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
I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314
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
I. S. Rezvyakova, “O polozhitelnoi dole netrivialnykh nulei dzeta-funktsii Epshteina na kriticheskoi pryamoi”, Izv. RAN. Ser. matem., 90:2 (2026) (to appear) ; (to appear)
2024
2.
I.S. Rezvyakova, The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line, 2024 , 75 pp., arXiv: 2411.18492
2022
3.
M. A. Korolev, I. S. Rezvyakova, “On simultaneous approximations to the logarithms of primes”, Chebyshevskii Sb., 23:5 (2022), 87–100
2021
4.
M. A. Korolev, I. S. Rezvyakova, “Incomplete Kloosterman sums to prime power modules”, Bull., Cl. Sci. Math. Nat., Sci. Math., 46 (2021), 73–92
2017
5.
I. S. Rezvyakova, “Additive Problem with the Coefficients of Hecke $L$-Functions”, Proc. Steklov Inst. Math., 296 (2017), 234–242
2016
6.
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
2015
7.
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
8.
I. S. Rezvyakova, “On the zeros of the Epstein zeta-function on the critical line”, Russian Math. Surveys, 70:4 (2015), 785–787
9.
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
2014
10.
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)
2013
11.
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, 47http://mjcnt.phystech.edu/conference/palanga/abstract_book.pdf
12.
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, 74http://at.yorku.ca/cgi-bin/abstract/cbhj-28
2012
13.
I. Rezvyakova, On the critical line zeros of $L$-functions attached to automorphic cusp forms, 2012 , 20 pp., arXiv: 1212.2948
2013
14.
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
2011
15.
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
2010
16.
I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314
17.
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
18.
I. S. Rezvyakova, “On zeros of Hecke $L$-functions and their linear combinations on the critical line”, Dokl. Math., 81:2 (2010), 303–308
2007
19.
I. S. Rezvyakova, One metric result about analytic continuation of some Dirichlet series, 2007 , 4 pp., arXiv: 0712.1414
2006
20.
I. S. Rezvyakova, “On simple zeros of derivatives of the Riemann $\xi$-function”, Izv. Math., 70:2 (2006), 265–276
2005
21.
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
22.
I. S. Rezvyakova, “Zeros of the derivatives of the Riemann $\xi$-function”, Izv. Math., 69:3 (2005), 539–605
2026