Image de couverture de livre

On the Critical Line Re(s) = 1/2, the Irrationality Measure of π, and the Automorphic Structure of the Flint Hills Series

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Zapata, Carlos Lopez
Format:	Preprint
Publié:	2026
Sujets:	General Mathematics 11M41, 11J82, 11B68, 11F72, 30B50, 37A30, 05A10, 11F66 11F72
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

A central limit theorem for Hilbert modular forms
par: Das, Jishu, et autres
Publié: (2023)

Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms
par: Dillon, Lawrence, et autres
Publié: (2025)

On the Symmetric Square Large Sieve for $\mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathrm{PSL}_2 (\mathbb{C}) $ and the Prime Geodesic Theorem for $ \mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathbb{H}^3 $
par: Qi, Zhi
Publié: (2024)

On a level analog of Selberg's result on $S(t)$
par: Sun, Qingfeng, et autres
Publié: (2024)

Moments and joint nonvanishing of symplectic $L$-functions
par: Blomer, Valentin, et autres
Publié: (2026)

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect
par: Xu, Zhao
Publié: (2025)

On an unconditional $\rm GL_3$ analog of Selberg's result
par: Sun, Qingfeng, et autres
Publié: (2025)

The spectral decomposition of shifted convolution sums
par: Blomer, Valentin, et autres
Publié: (2007)

A generalized PGL(2) Petersson/Bruggeman-Kuznetsov formula for analytic applications
par: Hu, Yueke, et autres
Publié: (2024)

A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms
par: Sun, Qingfeng, et autres
Publié: (2024)

Low-lying zeros of Hilbert modular $L$-functions weighted by powers of central $L$-values
par: Wei, Zhining, et autres
Publié: (2025)

Character sum, reciprocity and Voronoi formula
par: Kwan, Chung-Hang, et autres
Publié: (2024)

Weighted low-lying zeros of L-functions attached to Siegel modular forms
par: Zhao, Shifan
Publié: (2024)

Trace formula and functional equation
par: Kwan, Chung-Hang, et autres
Publié: (2024)

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

Moments of $L$-functions via a relative trace formula
par: Jana, Subhajit, et autres
Publié: (2023)

The $n^{th}$ centered moments of a large orthogonal family of automorphic $L$-functions
par: Chandee, Vorrapan, et autres
Publié: (2025)

One-level densities of large even and odd orthogonal families of automorphic L-functions
par: Chandee, Vorrapan, et autres
Publié: (2026)

Extreme values of $L$-functions of newforms
par: Gun, Sanoli, et autres
Publié: (2024)

On the asymptotics of certain colored partitions
par: Mauth, Lukas
Publié: (2024)

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 2: bounds towards the Ramanujan conjecture
par: Cheng, Yuhao
Publié: (2025)

Sign changes in Fourier coefficients of the symmetric power $L$-functions on sums of two squares
par: Kaur, Amrinder
Publié: (2025)

A GL(3) converse theorem via a "beyond endoscopy'' approach
par: Blomer, Valentin, et autres
Publié: (2024)

The Fourier coefficients and singular moduli of the elliptic modular function $j(τ)$, revisited
par: Matsusaka, Toshiki
Publié: (2025)

Distribution of integer points on determinant surfaces and a $\text{mod-}p$ analogue
par: Ganguly, Satadal, et autres
Publié: (2025)

Uniform bounds for Kloosterman sums of half-integral weight with applications
par: Sun, Qihang
Publié: (2023)

On the Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
par: Qi, Zhi
Publié: (2024)

On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
par: Qi, Zhi
Publié: (2024)

Inductive construction of supercuspidal $L$-packets
par: Beuzart-Plessis, Raphaël, et autres
Publié: (2025)

Twisted L-functions over number fields and Hilbert's eleventh problem
par: Blomer, Valentin, et autres
Publié: (2009)

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

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$
par: Molla, Esrafil Ali
Publié: (2025)

A note on the trace formula
par: Assaf, Eran
Publié: (2023)

Irrationality and transcendence questions in the "poor man's adèle ring"
par: Luca, Florian, et autres
Publié: (2025)

On the average size of the eigenvalues of the Hecke operators
par: Cason, William, et autres
Publié: (2024)

Nonvanishing of Second Coefficients of Hecke Polynomials on the Newspace
par: Cason, William, et autres
Publié: (2024)

A $p$-adic ($p\equiv 3\!\!\pmod 4$) depth-$5$ supercongruence for Gaussian $p$-th power sums over a square
par: Kalinin, Nikita, et autres
Publié: (2026)

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
par: Anamby, Pramath, et autres
Publié: (2025)

Counting locally supercuspidal newforms
par: Knightly, Andrew
Publié: (2023)

Root Number Equidistribution for Self-Dual Automorphic Representations on $GL_N$
par: Dalal, Rahul, et autres
Publié: (2024)