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

Subject:

Analytic number theory.

Main publications:

1. 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
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                    
3. I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314                    
4. 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                

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics