Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field (Q5243123)

scientific article; zbMATH DE number 7130361

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English	Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field	scientific article; zbMATH DE number 7130361

Statements

instance of

scholarly article

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title

Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field (English)

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author

Zhi Qi

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published in

Transactions of the American Mathematical Society

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publication date

14 November 2019

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full work available at URL

https://arxiv.org/abs/1805.06026

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zbMATH Keywords

$L$-functions

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subconvexity

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Gaussian number field

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MaRDI profile type

Publication

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cites work

On the Ramanujan conjecture over number fields

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Subconvexity for $L$-functions of non-spherical cusp forms on ${\rm GL}(3)$

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Twisted $L$-functions over number fields and Hilbert's eleventh problem

0 references

Subconvexity for twisted <i>L</i>-functions on GL(3)

0 references

Sum formula for $SL_2$ over a number field and Selberg type estimates for exceptional eigenvalues

0 references

Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field

0 references

The spectral Kuznetsov formula on $\mathrm{SL}(3)$

0 references

The cubic moment of central values of automorphic $L$-functions

0 references

Kloosterman sums and Fourier coefficients of cusp forms

0 references

Q4368847

0 references

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

0 references

Subconvex bounds on $\mathrm{GL}_3$ via degeneration to frequency zero

0 references

The analysis of linear partial differential operators. IV: Fourier integral operators

0 references

Hybrid subconvexity bounds for twisted $L$-functions on $\mathrm{GL}(3)$

0 references

Q4830109

0 references

Low lying zeros of families of $L$-functions

0 references

On the Voronoĭ formula for GL(<i>n</i>)

0 references

Small eigenvalues of Laplacian for $Γ_{0}(N)$

0 references

On Euler Products and the Classification of Automorphic Representations I

0 references

Q4297087

0 references

PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS

0 references

Q4779929

0 references

The central value of the Rankin-Selberg $L$-functions

0 references

Bounds for $\mathrm{GL}(3) \times \mathrm{GL}(2)$ $L$-functions and $\mathrm{GL}(3)$ $L$-functions

0 references

A semi-adelic Kuznetsov formula over number fields

0 references

The spectral decomposition of shifted convolution sums over number fields

0 references

Subconvexity for twisted $L$-functions over number fields via shifted convolution sums

0 references

An elementary proof of a formula of Kuznecov for Kloosterman sums

0 references

Upper and lower bounds at $s=1$ for certain Dirichlet series with Euler product.

0 references

Q3158972

0 references

Automorphic distributions, $L$-functions, and Voronoi summation for $\text{GL}(3)$

0 references

Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase

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The circle method and bounds for $L$-functions. I

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The circle method and bounds for $L$-functions---II: Subconvexity for twists of ${\rm GL}(3)$ $L$-functions

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The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions

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The circle method and bounds for $L$-functions. IV: Subconvexity for twists of $\mathrm{GL}(3)$ $L$-functions

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

0 references

Q4059363

0 references

On the Fourier transform of Bessel functions over complex numbers—II: The general case

0 references

On the Kuznetsov trace formula for $\operatorname{PGL}_2(\mathbb{C})$

0 references

Q4544427

0 references

Q4875376

0 references

Q4693724

0 references

Bounds for $\mathrm{GL}_{3}\,L$-functions in depth aspect

0 references

Beyond Endoscopy and special forms on GL(2)

0 references

Q4856171

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Burgess-like subconvex bounds for $\mathrm{GL}_{2}\times \mathrm{GL}_{1}$

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Weyl-type hybrid subconvexity bounds for twisted $L$-functions and Heegner points on shrinking sets

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Identifiers

zbMATH Open document ID

1472.11151

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5243123