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Main Authors:	Ray, Anwesh, Weston, Tom
Format:	Preprint
Published:	2021
Subjects:	Number Theory 11G05, 11F80 (primary), 11F11, 11F33 (secondary)
Online Access:	https://arxiv.org/abs/2108.13480
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A local analogue of the ghost conjecture of Bergdall-Pollack
by: Liu, Ruochuan, et al.
Published: (2022)

Distribution of slopes for $\mathscr{L}$-invariants
by: An, Jiawei
Published: (2024)

On anticyclotomic Euler and Kolyvagin systems
by: Mastella, Luca, et al.
Published: (2025)

Unramifiedness of weight one Hilbert Hecke algebras
by: Deo, Shaunak V., et al.
Published: (2019)

On the $μ$-invariants of residually reducible Galois representations
by: Ray, Anwesh, et al.
Published: (2021)

Constructing Galois representations with large Iwasawa $λ$-Invariant
by: Ray, Anwesh
Published: (2021)

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions
by: Michel, Philippe, et al.
Published: (2024)

The Twelfth Moment of Hecke $L$-Functions in the Weight Aspect
by: Humphries, Peter, et al.
Published: (2022)

Root Number Equidistribution for Self-Dual Automorphic Representations on $GL_N$
by: Dalal, Rahul, et al.
Published: (2024)

Galois representations over function fields that are ramified at one prime
by: Ray, Anwesh
Published: (2024)

L-functions and rational points for Galois twists of modular curves
by: Studnia, Elie
Published: (2025)

Families of p-adic fields
by: Rúbies, Jordi Guàrdia, et al.
Published: (2025)

Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions
by: Ganguly, Soumendra, et al.
Published: (2024)

Special values of Green's functions on hyperbolic $3$-space
by: Herrero, Sebastián, et al.
Published: (2024)

Twisted traces of modular functions on hyperbolic $3$-space
by: Herrero, Sebastián, et al.
Published: (2024)

Nonzero $\mathfrak{n}$-cohomology of Totally Degenerate Limit of Discrete Series representations
by: Lee, Jin Kunwoo
Published: (2025)

A weighted vertical Sato-Tate law for Maaß forms on $\rm{GSp}_4$
by: Comtat, Félicien
Published: (2024)

Periods of modular forms and applications to the conjectures of Oda and of Prasanna-Venkatesh
by: Guitart, Xavier, et al.
Published: (2025)

Mod-$2$ Hecke algebras of level $3$ and $5$
by: Deo, Shaunak V., et al.
Published: (2022)

Constructing Galois representations with prescribed Iwasawa $λ$-invariant
by: Ray, Anwesh
Published: (2023)

The Prime Geodesic Theorem in Arithmetic Progressions
by: Chatzakos, Dimitrios, et al.
Published: (2023)

Galois representations are surjective for almost all Drinfeld modules
by: Ray, Anwesh
Published: (2024)

The Second Moment of Rankin-Selberg $L$-Functions in Conductor-Dropping Regimes
by: Humphries, Peter, et al.
Published: (2025)

The $T$-adic Galois representation is surjective for a positive density of Drinfeld modules
by: Ray, Anwesh
Published: (2023)

Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations
by: Kumar, Arvind, et al.
Published: (2024)

The average analytic rank of elliptic curves with prescribed level structure
by: Cho, Peter J., et al.
Published: (2023)

Determination of certain mod $p$ Galois representations using local constancy
by: Ganguli, Abhik, et al.
Published: (2024)

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

Mixed Moments of the Riemann Zeta and Dirichlet $L$-Functions
by: Kaneko, Ikuya
Published: (2021)

$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation
by: Flórez, Jorge
Published: (2024)

Low-lying zeros in families of Maass form L-functions: an extended density theorem
by: Čech, Martin, et al.
Published: (2025)

Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields
by: Humphries, Peter, et al.
Published: (2022)

A modular framework for functions of Knopp and indefinite binary quadratic forms
by: Bringmann, Kathrin, et al.
Published: (2022)

Congruences modulo $23$ to $y^2=x^3-23$ are trivial
by: Studnia, Elie
Published: (2025)

Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$
by: Manji, Muhammad, et al.
Published: (2026)

Special $L$-values of certain CM weight three Hecke eigenforms
by: Arora, Paresh, et al.
Published: (2026)

A theta operator for the group $\mathrm{GSp}_4$
by: Fiore, Leonardo
Published: (2024)

Monodromy and irreducibility of type $A_1$ automorphic Galois representations
by: Hui, Chun-Yin, et al.
Published: (2024)

A Subconvex Metaplectic Prime Geodesic Theorem and the Shimura Correspondence
by: Kaneko, Ikuya
Published: (2025)

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