The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor

DOI10.4007/annals.2020.192.2.3zbMath1460.11111arXiv1811.02452OpenAlexW3084002814MaRDI QIDQ2206344

Matthew P. Young, Ian N. Petrow

Publication date: 22 October 2020

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02452

zbMATH Keywords

momentssubconvexityKuznetsov formula\(\ell\)-adic trace functionsWeyl bound

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (24)

Product of three primes in large arithmetic progressions ⋮ Some recents advances on Duke’s equidistribution theorems ⋮ Subconvexity bounds for twisted 𝐿-functions, II ⋮ On Motohashi’s formula ⋮ Subconvexity for twisted GL$_3$ $L$-functions ⋮ Sub-convexity bound for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions: the depth aspect ⋮ The Weyl bound for triple product \(L\)-functions ⋮ Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ Algebraic twists of GL3 × GL2 L-functions ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Hybrid subconvexity bounds for twists of \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ Analytic number theory in the last decade ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Explicit Burgess bound for composite moduli ⋮ Quantum unique ergodicity for Eisenstein series in the level aspect ⋮ On the conductor of cohomological transforms ⋮ PERIODIC TWISTS OF -AUTOMORPHIC FORMS ⋮ Arithmetic exponent pairs for algebraic trace functions and applications ⋮ A subconvex bound for twisted \(L\)-functions ⋮ The cubic moment of automorphic \(L\)-functions in the weight aspect ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums] ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

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