Cover Image

The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Rezvyakova, I. S.
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11M26, 11M41
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the zeros of linear combinations of L-functions of degree two on the critical line. Selberg's approach
by: Rezvyakova, Irina
Published: (2024)

On the exact location of the non-trivial zeros of Riemann's zeta function
by: de Reyna, Juan Arias, et al.
Published: (2013)

The positivity technique and low-lying zeros of Dirichlet $L$-functions
by: Zhao, Tianyu
Published: (2025)

$M$-functions and screw functions originating from Goldbach's problem and zeros of the Riemann zeta function
by: Matsumoto, Kohji, et al.
Published: (2024)

On zero-density estimates for Beurling zeta functions
by: Broucke, Frederik
Published: (2024)

Upper bounds on gaps between zeros of $L$-functions
by: Zhao, Tianyu
Published: (2025)

Zeros of $L$-functions in families near the critical line
by: Blomer, Valentin, et al.
Published: (2024)

On Littlewood's estimate for the modulus of the zeta function on the critical line
by: Carneiro, Emanuel, et al.
Published: (2024)

Note on the $a$-points of the Riemann zeta function
by: Hang, Peng-Cheng, et al.
Published: (2024)

Values at non-positive integers of partially twisted multiple zeta-functions II
by: Essouabri, Driss, et al.
Published: (2025)

On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s
by: Hilberdink, T., et al.
Published: (2018)

A note on simple zeros related to Dedekind zeta functions
by: Zhang, Wei
Published: (2023)

Discrete universality for Matsumoto zeta-functions and the nontrivial zeros of the Riemann zeta-function
by: Nakai, Keita
Published: (2023)

Shifting the ordinates of zeros of the Riemann zeta function
by: Banks, William D.
Published: (2024)

Consecutive moderate gaps between zeros of the Riemann zeta function
by: Gonek, Steven M., et al.
Published: (2024)

Small gaps between consecutive zeros of the Riemann zeta-function
by: Inoue, Shōta
Published: (2026)

The Carlson-type zero-density theorem for the Beurling zeta function
by: Révész, Szilárd Gy.
Published: (2022)

Euler products of Selberg zeta functions in the critical strip
by: Kaneko, Ikuya, et al.
Published: (2018)

Density results for $r$-gaps between zeros of the Riemann zeta-function
by: Zhao, Tianyu
Published: (2026)

Explicit estimates for the Goldbach summatory function
by: Bhowmik, Gautami, et al.
Published: (2024)

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis
by: Goldston, Daniel A., et al.
Published: (2025)

Shifted moments of the Riemann zeta function
by: Ng, Nathan, et al.
Published: (2022)

Zeta Regularized Trigonometric Products Over Zeros Of The Riemann Zeta Function
by: Gürel, Efe
Published: (2025)

On the lowest zero of Dedekind zeta function
by: Kala, Sushant
Published: (2024)

Explicit conditional bounds for $ζ(s)$ at the edge of the critical strip
by: Chirre, Andrés, et al.
Published: (2026)

Detecting zeros of Dirichlet $L$-functions via the Riemann zeta-function
by: Suzuki, Masatoshi
Published: (2025)

On the connection between zero-free regions and the error term in the Prime Number Theorem
by: Broucke, Frederik
Published: (2025)

Maximal order for divisor functions and zeros of the Riemann zeta-function
by: Akatsuka, Hirotaka
Published: (2024)

Short mollifiers of the Riemann zeta-function
by: Conrey, J. Brian, et al.
Published: (2025)

Conditional estimates for $L$-functions in the Selberg class
by: Palojärvi, Neea, et al.
Published: (2022)

Conditional estimates for $L$-functions in the Selberg class II
by: Palojärvi, Neea, et al.
Published: (2024)

Universality of the zeta function in short intervals
by: Lee, Yoonbok, et al.
Published: (2025)

Explicit zero-free regions for automorphic $L$-functions
by: Creech, Steven, et al.
Published: (2025)

Integer moments of the derivatives of the Riemann zeta function
by: Hughes, Christopher, et al.
Published: (2025)

Complex moments of the derivative of the Riemann zeta function
by: Hughes, Christopher, et al.
Published: (2025)

Explicit extreme values of the argument of the Riemann zeta-function
by: Inoue, Shōta, et al.
Published: (2025)

Equivalence between the Functional Equation and Vorono\"ı-type summation identities for a class of $L$-Functions
by: Roy, Arindam, et al.
Published: (2026)

Improved estimates for the argument and zero-counting function of the Riemann zeta-function
by: Bellotti, Chiara, et al.
Published: (2024)

Equidistribution of sequences associated with a-points of the derivatives of the Riemann zeta function
by: Murahara, Hideki, et al.
Published: (2025)

An explicit log-free zero density estimate for the Riemann zeta-function
by: Bellotti, Chiara
Published: (2024)