Zeros of Rankin–Selberg L-functions in families (Q6125790)

scientific article; zbMATH DE number 7831321

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English	Zeros of Rankin–Selberg <i>L</i>-functions in families	scientific article; zbMATH DE number 7831321

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instance of

scholarly article

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title

Zeros of Rankin–Selberg L-functions in families (English)

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Compositio Mathematica

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publication date

11 April 2024

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full work available at URL

https://arxiv.org/abs/2103.05634

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zbMATH Keywords

automorphic forms

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Rankin-Selberg $L$-functions

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zero density estimate

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subconvexity

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MaRDI profile type

MaRDI publication profile

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cites work

Twisted symmetric-square $L$-functions and the nonexistence of Siegel zeros on $\mathrm{GL}(3)$

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Period integrals and Rankin-Selberg $L$-functions on $\mathrm{GL}(n)$

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Density theorems for $\mathrm{GL}(n)$

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On the Ramanujan conjecture over number fields

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Nonvanishing of L-functions, the Ramanujan Conjecture, and Families of Hecke Characters

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On the large sieve

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Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions

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Second order average estimates on local data of cusp forms

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Zeros of Rankin-Selberg $L$-functions at the edge of the critical strip

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Lie Groups

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An upper bound on conductors for pairs

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Kloosterman sums and Fourier coefficients of cusp forms

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A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan

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Bombieri's mean value theorem

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A large sieve density estimate near $\sigma = 1$

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Zeta functions of simple algebras

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Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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Q4853473

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Standard zero-free regions for Rankin-Selberg $L$-functions via sieve theory

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Towards a 𝐺𝐿_{𝑛} variant of the Hoheisel phenomenon

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Q4830109

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Q2739350

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Rankin-Selberg Convolutions

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On Euler Products and the Classification of Automorphic Representations I

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Applications of analytic newvectors for $\operatorname{GL}(N)$

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The second moment of Rankin–Selberg L-functions

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A Bombieri–Vinogradov Theorem for Higher-Rank Groups

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Q5494370

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Upper Bounds on L-Functions at the Edge of the Critical Strip

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Q5844339

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A theorem on analytic strong multiplicity one

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On Selberg's eigenvalue conjecture

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Q4263342

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The subconvexity problem for $\mathrm{GL}_2$

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Le spectre résiduel de ${\rm GL}(n)$

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Analytic Proof of the Strong Multiplicity One Theorem

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Absolute convergence of the spectral side of the Arthur trace formula for $\text{GL}_n$

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Q3755522

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Q3856975

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Modularity of the Rankin-Selberg $L$-series, and multiplicity one for $\mathrm{SL}(2)$

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Weak subconvexity without a Ramanujan hypothesis

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A unified and improved Chebotarev density theorem

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An unconditional $\mathrm{GL}_n$ large sieve

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The least prime ideal.

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BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS

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Identifiers

arXiv ID

2103.05634

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DOI

10.1112/s0010437x24007085

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6125790

Zeros of Rankin–Selberg <i>L</i>-functions in families (Q6125790)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)