Arithmetic distribution of tempered components of cuspidal representations of \(\mathrm{GL}(3)\)
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Publication:2689261
DOI10.1007/s00209-023-03213-wOpenAlexW4321087837MaRDI QIDQ2689261
Publication date: 9 March 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-023-03213-w
Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)
Cites Work
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- Galois representations arising from some compact Shimura varieties
- On the Ramanujan conjecture over number fields
- On the size of Satake parameters for unitary cuspidal automorphic representations for \(\mathrm{GL}(4)\)
- Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
- On the coefficients of cusp forms
- La conjecture de Weil. I
- Cuspidality of symmetric powers with applications.
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- Linnik-type problems for automorphic \(L\)-functions
- Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
- Construction of automorphic Galois representations. II
- Artin-root numbers and normal integral bases for quaternion fields
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- Binomial Coefficients and the Distribution of the Primes
- Two Linnik-type problems for automorphic L-functions
- Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura
- Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
- Formes modulaires de poids $1$
- A relation between automorphic forms on GL (2) and GL (3)
- Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
- The role of the Ramanujan conjecture in analytic number theory
- The Ramanujan conjecture and its applications
- Upper Bounds on L-Functions at the Edge of the Critical Strip
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