Almost periodicity and large oscillations of prime counting functions |
Jun 21, 2024 |
Jan-Christoph Schlage-Puchta |

A race problem arising from elliptic curves |
Jun 21, 2024 |
Kin Ming Tsang |

Ramanujan sums and the Hardy–Littlewood prime tuple conjecture |
Jun 21, 2024 |
Shivani Goel |

Number theory versus random matrix theory: the joint moments story |
Jun 21, 2024 |
Andrew Pearce-Crump |

Zero-free regions of the Riemann zeta-function |
Jun 21, 2024 |
Andrew Yang |

Spacing statistics of the Farey sequence |
Jun 21, 2024 |
Bittu |

Unconditional comparative prime number theory over function fields |
Jun 21, 2024 |
Alexandre Bailleul |

Oscillation results for the summatory functions of fake \mu |
Jun 20, 2024 |
Chi Hoi (Kyle) Yip |

On the generalised Dirichlet divisor problem |
Jun 20, 2024 |
Chiara Bellotti |

Average value of $\pi(t) - li(t)$ |
Jun 20, 2024 |
Daniel Johnston |

Moments in the Chebotarev density theorem |
Jun 20, 2024 |
Florent Jouve |

The Riemann hypothesis via the generalized von Mangoldt function |
Jun 20, 2024 |
Saloni Sinha |

A simple proof of the Wiener–Ikehara Tauberian theorem |
Jun 19, 2024 |
Jagannath Sahoo |

Shifting the ordinates of zeros of the Riemann zeta function |
Jun 19, 2024 |
William Banks |

Distribution of Gaussian primes and zeros of L-functions |
Jun 19, 2024 |
Lucile Devin |

Quantitative upper bounds related to an isogeny criterion for elliptic curves |
Jun 18, 2024 |
Tian Wang |

Joint Distribution of primes in multiple short intervals |
Jun 18, 2024 |
Sun Kai Leung |

Explicit estimates for the Mertens function |
Jun 18, 2024 |
Nicol Leong |

Counting “supersingularity” in arithmetic statistics |
Jun 18, 2024 |
Wanlin Li |

A Mertens function analogue for the Rankin–Selberg L-function |
Jun 18, 2024 |
Amrinder Kaur |

Oscillations in Mertens’ product theorem for number fields |
Jun 18, 2024 |
Ethan Lee |

Remarks on Landau–Siegel zeros |
Jun 18, 2024 |
Debmalya Basak |

The influence of the Galois group structure on the Chebyshev bias in number fields |
Jun 18, 2024 |
Mounir Hayani |

Modular forms and an explicit Chebotarev variant of the Brun–Titchmarsh theorem |
Jun 17, 2024 |
Hari Iyer |

The distribution of analytic ranks of elliptic curve over prime cyclic number fields |
Jun 17, 2024 |
Gyeongwon Oh |

Joint distribution of central values and orders of Sha groups of quadratic twists of an elliptic curve |
Jun 17, 2024 |
Peng-Jie Wong |

Bias for the kappa factor function |
Jun 17, 2024 |
Sneha Chaubey |

Prime Number Error Terms |
Jun 17, 2024 |
Nathan Ng |

The Shanks–Rényi prime number race problem |
Jun 17, 2024 |
Youness Lamzouri |

Fake mu's: Make Abstracts Great Again! |
Jun 17, 2024 |
Tim Trudgian |

Bounds on the Number of Solutions to Thue Equations |
Apr 10, 2024 |
Greg Knapp |

Zeros of linear combinations of Dirichlet L-functions on the critical line |
Mar 25, 2024 |
Jérémy Dousselin |

Zeros of linear combinations of Dirichlet L-functions on the critical line |
Mar 25, 2024 |
Jérémy Dousselin |

The fourth moment of quadratic Dirichlet L-functions |
Mar 18, 2024 to Apr 18, 2024 |
Quanli Shen |

Primes in arithmetic progressions to smooth moduli |
Mar 4, 2024 |
Julia Stadlmann |

L-functions in Analytic Number Theory: Biitu |
Feb 26, 2024 |
Bittu |

Consecutive sums of two squares in arithmetic progressions |
Feb 9, 2024 |
Vivian Kuperberg |

Fourier optimization and the least quadratic non-residue |
Jan 29, 2024 |
Emily Quesada-Herrera |

Mean values of long Dirichlet polynomials |
Jan 22, 2024 |
Winston Heap |

Explicit bounds for $\zeta$ and a new zero free region |
Jan 16, 2024 |
Chiara Bellotti |

Möbius function, an identity factory with applications |
Dec 4, 2023 |
Sebastian Zuniga Alterman |

Twisted moments of characteristic polynomials of random matrices |
Nov 27, 2023 |
Siegfred Baluyot |

Characteristic polynomials, the Hybrid model, and the Ratios Conjecture |
Nov 20, 2023 |
Andrew Pearce-Crump |

The eighth moment of $\Gamma_1(q)$ L-functions |
Nov 6, 2023 |
Vorrapan Chandee |

On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums |
Oct 30, 2023 |
Shivani Goel |

Conditional estimates for logarithms and logarithmic derivatives in the Selberg class |
Oct 16, 2023 |
Neea Palojärvi |

An explicit estimate on the mean value of the error in the prime number theorem in intervals |
Oct 3, 2023 |
Michaela Cully-Hugill |

Sign changes of the error term in the Piltz divisor problem |
Sep 25, 2023 |
Cruz Castillo |

The second moment of symmetric square L-functions over Gaussian integers |
Apr 5, 2023 |
Olga Balkanova |

Exceptional Chebyshev's bias over finite fields |
Mar 22, 2023 |
Alexandre Bailleul |

Euler's divergent series and primes in arithmetic progressions |
Mar 8, 2023 |
Anne-Maria Ernvall-Hytönen |

A new explicit bound for the Riemann zeta function |
Mar 1, 2023 |
Ghaith Hiary |

A logarithmic improvement in the Bombieri-Vinogradov theorem |
Feb 8, 2023 |
Alisa Sedunova |

An explicit error term in the prime number theorem for large x |
Jan 25, 2023 |
Daniel Johnston |

Least quadratic non-residue and related problems |
Jan 18, 2023 |
Enrique Treviño |

Zeros of linear combinations of L-functions near the critical line |
Jan 11, 2023 |
Youness Lamzouri |

A walk on Legendre paths |
Jan 9, 2023 |
Youness Lamzouri |

Negative moments of the Riemann zeta-function |
Dec 5, 2022 |
Alexandra Florea |

The value distribution of the Hurwitz zeta function with an irrational shift |
Dec 1, 2022 |
Anurag Sahay |

Quadratic Twists of Modular L-functions |
Nov 3, 2022 |
Xiannan Li |

Moments and Periods for GL(3) |
Oct 20, 2022 |
Chung-Hang (Kevin) Kwan |

Extreme Values of the Riemann Zeta Function and Dirichlet L-functions at the Critical Points of the Zeta Function |
Oct 13, 2022 |
Shashank Chorge |

Multiplicative functions in short intervals |
Oct 6, 2022 |
Paranedu Darbar |

Joint value distribution of L-functions |
Sep 22, 2022 |
Junxian Li |

Moments of the Hurwitz zeta function |
Jul 29, 2022 |
Anurag Sahay |

An extension of Venkatesh's converse theorem to the Selberg class |
Jul 29, 2022 |
Min Lee |

Averages of long Dirichlet polynomials with modular coefficients |
Jul 29, 2022 |
Alessandro Fazzari |

Local statistics for zeros of Artin--Schreier $L$-functions |
Jul 29, 2022 |
Alexei Entin |

Moments of $L$-functions in the world of number field counting |
Jul 29, 2022 |
Brandon Alberts |

The eighth moment of the Riemann zeta function |
Jul 29, 2022 |
Quanli Shen |

Geodesic restrictions of Maass forms and moments of Hecke $L$-functions |
Jul 28, 2022 |
Peter Humphries |

Twisted first moment of $GL(3)\times GL(2)$ $L$-function |
Jul 28, 2022 |
Jakob Streipel |

Double square moments and bounds for resonance sums for cusp forms |
Jul 28, 2022 |
Praneel Samanta |

$L^p$-norm bounds for automorphic forms |
Jul 28, 2022 |
Rizwanur Khan |

Moments of large families of Dirichlet $L$-functions |
Jul 27, 2022 |
Vorrapan Chandee |

Discrete Moments |
Jul 27, 2022 |
Fatma Cicek |

Quantum variance for automorphic forms |
Jul 27, 2022 |
Bingrong Huang, |

Logging of the zeta-function, but only for a few moments! |
Jul 26, 2022 |
Tim Trudgian |

The third moment of quadratic $L$-Functions |
Jul 26, 2022 |
Ian Whitehead |

Asymptotic mean square of product of higher derivatives of the zeta-function and Dirichlet polynomials |
Jul 26, 2022 |
Mithun Das |

Lambert series of logarithm and a mean value theorem for $\zeta(\frac{1}{2}-it)\zeta'(\frac{1}{2}+it)$ |
Jul 26, 2022 |
Atul Dixit |

Negative moments of the Riemann zeta function |
Jul 25, 2022 |
Alexandra Florea |

The recipe for moments of $L$-functions |
Jul 25, 2022 |
Siegfried Baluyot |

The generalised Shanks's conjecture |
Jul 25, 2022 to Jul 26, 2022 |
Andrew Pearce-Crump |

One-level density of zeros of Dirichlet L-functions over function fields |
Jul 25, 2022 |
Hua Lin |

Distributions of sums of the divisor function over function fields |
Jul 25, 2022 |
Matilde Lalín |

Selberg's central limit theorem for quadratic Dirichlet $L$-functions over function fields |
Jul 25, 2022 |
Allysa Lumley |