Cover Image

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Goldston, Daniel A., Lee, Junghun, Schettler, Jordan, Suriajaya, Ade Irma
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11M06, 11M26
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Pair Correlation Conjecture for the Zeros of the Riemann Zeta-function I: Simple and Critical Zeros
by: Goldston, Daniel Alan, et al.
Published: (2025)

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function
by: Baluyot, Siegfred Alan C., et al.
Published: (2025)

Pair Correlation of Zeros of the Riemann Zeta Function I: Proportions of Simple Zeros and Critical Zeros
by: Baluyot, Siegfred Alan C., et al.
Published: (2025)

Zeta Zeros on the Critical Line
by: Goldston, Daniel A., et al.
Published: (2025)

Zeta Zeros in a Narrow Vertical Box
by: Goldston, Daniel A., et al.
Published: (2026)

The $a$-points of the Riemann zeta-function and the functional equation
by: Sourmelidis, Athanasios, et al.
Published: (2022)

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

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)

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

The Average Number of Goldbach Representations and Zero-Free Regions of the Riemann Zeta-Function
by: Billington, Keith, et al.
Published: (2023)

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

On a smoothed average of the number of Goldbach representations
by: Goldston, Daniel A., et al.
Published: (2023)

Explicit extreme values of the argument of the Riemann zeta-function
by: Inoue, Shōta, 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)

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function
by: Hughes, Christopher, et al.
Published: (2021)

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

The $θ= \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
by: Dong, Anji, et al.
Published: (2026)

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

Mean values of the Riemann zeta function at shifted zeros under the Riemann Hypothesis
by: Garunkštis, Ramūnas, et al.
Published: (2025)

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

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

New explicit bounds for Mertens function and the reciprocal of the Riemann zeta-function
by: Lee, Ethan S., et al.
Published: (2022)

Comparing zeros of distinct Dirichlet L-functions
by: Banks, William D.
Published: (2023)

On the joint second moment of zeta and its logarithmic derivative
by: Fazzari, Alessandro
Published: (2023)

Unconditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
by: Hiary, Ghaith, et al.
Published: (2025)

Conditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
by: Zhao, Tianyu
Published: (2025)

Riemann's hypothesis via Robin's Theorem
by: Martila, Dmitri, et al.
Published: (2024)

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

Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field
by: Li, Zhonghua, et al.
Published: (2025)

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

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

An explicit form of Ingham's zero density estimate
by: Chourasiya, Shashi, et al.
Published: (2025)

On Product Formulas of Guillera and Sondow
by: Kanungo, Shihan, et al.
Published: (2024)

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

Riemann-Type Functional Equations -- Julia Line and Counting Formulae --
by: Sourmelidis, Athanasios, et al.
Published: (2020)

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

Equivalent criteria for the Riemann hypothesis for a general class of $L$-functions
by: Garg, Meghali, et al.
Published: (2024)