Subconvexity of Shintani’s zeta function (Q5039737)

scientific article; zbMATH DE number 7595846

Language	Label	Description	Also known as
English	Subconvexity of Shintani’s zeta function	scientific article; zbMATH DE number 7595846

Statements

instance of

scholarly article

0 references

title

Subconvexity of Shintani’s zeta function (English)

0 references

0 references

0 references

0 references

Transactions of the American Mathematical Society

0 references

publication date

4 October 2022

0 references

full work available at URL

https://arxiv.org/abs/2104.13558

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

subconvexity

0 references

cubic ring

0 references

space of lattices

0 references

zeta function

0 references

prehomogeneous vector space

0 references

oscillatory integral

0 references

MaRDI profile type

MaRDI publication profile

0 references

0 references

0 references

The density of discriminants of quartic rings and fields

0 references

The density of discriminants of quintic rings and fields

0 references

Arithmetic invariant theory

0 references

The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields

0 references

Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0

0 references

Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves

0 references

On the Davenport-Heilbronn theorems and second order terms

0 references

On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields

0 references

EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE

0 references

The adelic zeta function associated to the space of binary cubic forms. II: Local theory.

0 references

On the density of discriminants of cubic fields. II

0 references

Bounds for automorphic $L$-functions

0 references

Maass form twisted Shintani $\mathcal {L}$-functions

0 references

The shape of cubic fields

0 references

Q4830109

0 references

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

0 references

Zeta integrals, Schwartz spaces and local functional equations

0 references

THE SUBCONVEXITY PROBLEM FOR <i>L</i>-FUNCTIONS

0 references

A conjecture on coincidence among the zeta functions associated with the space of binary cubic forms

0 references

Convergence of the zeta functions of prehomogeneous vector spaces

0 references

Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations

0 references

Zeta functions in several variables associated with prehomogeneous vector spaces. III: Eisenstein series for indefinite quadratic forms

0 references

Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms

0 references

On zeta functions associated with prehomogeneous vector spaces

0 references

On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

0 references

Q3158276

0 references

Q3142876

0 references

Secondary terms in counting functions for cubic fields

0 references

Shintani’s zeta function is not a finite sum of Euler products

0 references

Prehomogeneous vector spaces and field extensions

0 references

Q4282628

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5039737