The arithmetic Kuznetsov formula on $\mathrm{GL}(3)$. II: The general case (Q2153717)

scientific article; zbMATH DE number 7555981

Language	Label	Description	Also known as
English	The arithmetic Kuznetsov formula on $\mathrm{GL}(3)$. II: The general case	scientific article; zbMATH DE number 7555981

Statements

instance of

scholarly article

0 references

title

The arithmetic Kuznetsov formula on $\mathrm{GL}(3)$. II: The general case (English)

0 references

author

Jack Buttcane

0 references

published in

Algebra \& Number Theory

0 references

publication date

13 July 2022

0 references

full work available at URL

https://arxiv.org/abs/1909.09232

0 references

zbMATH Keywords

analytic number theory

0 references

Kloosterman sums

0 references

Kuznetsov formula

0 references

GL(3)

0 references

harmonic analysis on symmetric spaces

0 references

Bessel functions

0 references

0 references

0 references

On Bessel distributions for quasi-split groups

0 references

Bessel functions for $\text{GL}(3)$ over a $p$-adic field.

0 references

Bessel distributions for GL(3) over the $p$-adics

0 references

Bessel identities in the Waldspurger correspondence over the real numbers

0 references

A Whittaker-Plancherel inversion formula for $\mathrm{SL}(2,\mathbb R)$.

0 references

Applications of the Kuznetsov formula on $\mathrm{GL}(3)$

0 references

The Relative Trace Formula in Analytic Number Theory

0 references

Global decomposition of $\operatorname{GL}(3)$ Kloosterman sums and the spectral large sieve

0 references

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

0 references

Uniform subconvexity and symmetry breaking reciprocity

0 references

Distribution of Maass of holomorphic cusp forms

0 references

On moments of twisted L-functions

0 references

Fourier coefficients of cusp forms

0 references

Poincaré series and Kloosterman sums for SL(3, Z)

0 references

On sums of $\mathrm{SL}(3,\mathbb{Z})$ Kloosterman sums

0 references

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

0 references

Higher weight on $\mathrm{GL}(3)$. I: The Eisenstein series

0 references

Higher weight on $\mathrm{GL}(3)$. II: The cusp forms

0 references

The arithmetic Kuznetsov formula on $\mathrm{GL}(3)$. I: The Whittaker case

0 references

Kuznetsov, Petersson and Weyl on GL(3), I: The principal series forms

0 references

Kuznetsov, Petersson and Weyl on $\mathrm{GL}(3)$. II: The generalized principal series forms

0 references

On the fourth moment of Hecke–Maass forms and the random wave conjecture

0 references

Plancherel Distribution of Satake Parameters of Maass Cusp Forms on GL3

0 references

On an analogue of Selberg’s eigenvalue conjecture for 𝑆𝐿₃(𝐙)

0 references

Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters

0 references

Q3996745

0 references

More than two fifths of the zeros of the Riemann zeta function are on the critical line.

0 references

On the greatest prime factor of $(n^2)+1$

0 references

A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums

0 references

Hyperbolic distribution problems and half-integral weight Maass forms

0 references

Equidistribution of roots of a quadratic congruence to prime moduli

0 references

Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions

0 references

A Theory of Spherical Functions. I

0 references

Automorphic Forms and L-Functions for the Group<i>GL</i>(<i>n</i>, R)

0 references

On the determination of the Plancherel measure for Lebedev-Whittaker transforms on $\mathrm{GL}(n)$

0 references

Q4830109

0 references

Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

0 references

Generalizations of Whipple's theorem on the sum of a ${}_ 3 F_ 2$

0 references

Q5844214

0 references

Q2710128

0 references

Kuznetsov formulas for real rank one groups

0 references

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

0 references

Q3235963

0 references

SOME EIGENFUNCTION FORMULAE

0 references

Q3237356

0 references

On explicit integral formulas for $\text{GL}(n, \mathbb R)$-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein

0 references

Archimedean $L$-factors on $\text{GL}(n)\times\text{GL}(n)$ and generalized Barnes integrals

0 references

Poincaré series on $\mathrm{GL}(r)$ and Kloosterman sums

0 references

0 references

0 references

0 references

0 references

A Kuznetsov formula for Kloosterman sums on $\text{GL}_n$

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.2140/ANT.2022.16.567

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2153717

The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case (Q2153717)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)