Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications (Q5866306)

scientific article; zbMATH DE number 7541113

Language	Label	Description	Also known as
English	Motohashi’s formula for the fourth moment of individual Dirichlet<i>L</i>-functions and applications	scientific article; zbMATH DE number 7541113

Statements

instance of

scholarly article

0 references

title

Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications (English)

0 references

author

Ikuya Kaneko

0 references

published in

Forum of Mathematics, Sigma

0 references

publication date

13 June 2022

0 references

full work available at URL

https://arxiv.org/abs/2110.08974

0 references

zbMATH Keywords

Motohashi's formula

0 references

Dirichlet $L$-functions

0 references

fourth moment

0 references

Riemann zeta-function

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG ‐FUNCTIONS

0 references

Hecke operators on $\Gamma_0(m)$

0 references

Twists of newforms and pseudo-eigenvalues of $W$-operators

0 references

Moments of the Riemann zeta function and Eisenstein series. I

0 references

On the 4-norm of an automorphic form

0 references

On the Ramanujan conjecture over number fields

0 references

A hybrid asymptotic formula for the second moment of Rankin-Selberg L -functions

0 references

Bounds for modular L-functions in the level aspect☆

0 references

Motohashi’s fourth moment identity for non-archimedean test functions and applications

0 references

Twisted moments of $L$-functions and spectral reciprocity

0 references

Uniform subconvexity and symmetry breaking reciprocity

0 references

A spectral reciprocity formula and non-vanishing for $L$-functions on $\mathrm{GL}(4)\times\mathrm{GL}(2)$

0 references

The second moment of twisted modular $L$-functions

0 references

Kloosterman sums in residue classes

0 references

Twist‐minimal trace formulas and the Selberg eigenvalue conjecture

0 references

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

0 references

A new approach to the spectral theory of the fourth moment of the Riemann zeta-function

0 references

Q4234990

0 references

Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method

0 references

Bounds for automorphic $L$-functions

0 references

The subconvexity problem for Artin $L$-functions

0 references

Q4196623

0 references

Q2996853

0 references

Q3084090

0 references

On the positivity of the central critical values of automorphic $L$-functions for $GL(2)$

0 references

Q3518705

0 references

THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION

0 references

The Fourth Power Moment of the Riemann Zeta Function

0 references

Density theorems for exceptional eigenvalues for congruence subgroups

0 references

Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level

0 references

On the random wave conjecture for dihedral Maaß forms

0 references

On the fourth power moment of the Riemann zeta-function

0 references

0 references

0 references

0 references

0 references

Low lying zeros of families of $L$-functions

0 references

Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.

0 references

Mean value estimates for exponential sums with applications to $L$-functions

0 references

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

0 references

Kloosterman sums and Fourier coefficients of Eisenstein series

0 references

Q4012861

0 references

Q3324043

0 references

Q5489384

0 references

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

0 references

Twelfth moment of Dirichlet L-functions to prime power moduli

0 references

Q3158972

0 references

An explicit formula for the fourth power mean of the Riemann zeta- function

0 references

Q4250398

0 references

Q4357058

0 references

Q3434457

0 references

The Twelfth Moment of Dirichlet L-functions with Smooth Moduli

0 references

A twisted Motohashi formula and Weyl-subconvexity for $L$-functions of weight two cusp forms

0 references

The Weyl bound for Dirichlet $L$-functions of cube-free conductor

0 references

On the general Kloosterman sums

0 references

Q4544427

0 references

The fourth moment of individual Dirichlet $L$-functions on the critical line

0 references

The fourth moment of Dirichlet $L$-functions

0 references

Explicit calculations with Eisenstein series

0 references

Periods and Reciprocity I

0 references

Identifiers

zbMATH Open document ID

1496.11114

0 references

DOI

10.1017/fms.2022.33

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5866306

Motohashi’s formula for the fourth moment of individual Dirichlet<i>L</i>-functions and applications (Q5866306)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)