Exponential sums with multiplicative coefficients without the Ramanujan conjecture
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Publication:2225624
DOI10.1007/s00208-020-02108-zzbMath1464.11083OpenAlexW3108795105WikidataQ115609077 ScholiaQ115609077MaRDI QIDQ2225624
Guangshi Lü, Yujiao Jiang, Zhiwei Wang
Publication date: 8 February 2021
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-020-02108-z
Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Applications of sieve methods (11N36)
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Cites Work
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- Shifted convolution sums for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\)
- A family of Calabi-Yau varieties and potential automorphy. II.
- Weak subconvexity for central values of \(L\)-functions
- Sieving for mass equidistribution
- Hyperbolic prime number theorem
- Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
- A sieve method for shifted convolution sums
- On the absolute value of Ramanujan's \(\tau\)-function
- An upper bound on conductors for pairs
- An additive problem in the Fourier coefficients of cusp forms
- La conjecture de Weil. I
- Upper and lower bounds at \(s=1\) for certain Dirichlet series with Euler product.
- Absolute convergence of the spectral side of the Arthur trace formula for \(\text{GL}_n\)
- On Selberg's eigenvalue conjecture
- Zeros of principal \(L\)-functions and random matrix theory
- Weak subconvexity without a Ramanujan hypothesis
- Linnik-type problems for automorphic \(L\)-functions
- Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
- The circle method and bounds for \(L\)-functions. I
- Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
- On Certain L-Functions
- Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
- On exponential sums with multiplicative coefficients, II
- Sur L'Equirepartition Modulo 1 De Certaines Fonctions De Diviseurs
- Disjointness of Moebius from Horocycle Flows
- AN EXTENSION OF THE BOURGAIN–SARNAK–ZIEGLER THEOREM WITH MODULAR APPLICATIONS
- Upper Bounds on L-Functions at the Edge of the Critical Strip
- Cancellation in additively twisted sums on GL(n)
- Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
- ON A CERTAIN GENERAL EXPONENTIAL SUM
- Exponential sums with multiplicative coefficients