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The Ramanujan conjecture and its applications (Q4993489)

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scientific article; zbMATH DE number 7359657

Language	Label	Description	Also known as
English	The Ramanujan conjecture and its applications	scientific article; zbMATH DE number 7359657

Statements

scholarly article

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The Ramanujan conjecture and its applications (English)

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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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publication date

15 June 2021

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full work available at URL

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6939229

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zbMATH Keywords

zeta functions

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Ramanujan conjecture

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Ramanujan graphs

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Riemann hypothesis

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Ramanujan complexes

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quantum computing

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combinatorics

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number theory

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Wen-Ch'ing Winnie Li

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MaRDI profile type

MaRDI publication profile

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Expander graphs and their applications

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Ramanujan graphs

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Ramanujan hypergraphs

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Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).

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Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators

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Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)

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Explicit construction of a Ramanujan \((n_1,n_2,\dots,n_{d-1})\)-regular hypergraph

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Automorphic forms and the distribution of points on odd-dimensional spheres.

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Hecke operators and distributing points on the sphere I

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Hecke operators and distributing points on <i>S</i><sup>2</sup>. II

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From Ramanujan graphs to Ramanujan complexes

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Super-Golden-Gates for \(PU(2)\)

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Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura

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Construction of automorphic Galois representations. II

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Formes modulaires de poids $1$

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Proof of Peterson's conjecture for GL(2) over a global field of \(characteristic\quad p\).

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Eine Verallgemeinerung der Abelschen Integrale

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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Drinfeld shtukas and Langlands correspondence.

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\({\mathcal D}\)-elliptic sheaves and the Langlands correspondence

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Automorphic Representation of Unitary Groups in Three Variables. (AM-123)

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On integrals attached to automorphic forms

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Galois representations arising from some compact Shimura varieties

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La conjecture de Weil. I

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Global Jacquet-Langlands Correspondence for Division Algebras in Characteristic $p$

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Automorphic forms on GL (2)

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Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale

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Functoriality for the Classical Groups over Function Fields

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Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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On discrete subgroups of the two by two projective linear group over \(p\)-adic fields

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Zeta functions of complexes arising from \(\mathrm{PGL}(3)\)

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Zeta and 𝐿-functions in Number Theory and Combinatorics

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Riemann hypothesis and strongly Ramanujan complexes from \(\mathrm{GL}_{n}\)

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Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I

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On the Ramanujan conjecture for automorphic forms over function fields I. Geometry

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Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))

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On the Ramanujan conjecture over number fields

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Explicit Concentrators from Generalized <i>N</i>-Gons

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\(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators

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On negative eigenvalues of regular graphs

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Ramanujan complexes of type \(\widetilde A_d\)

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Interlacing families. I: Bipartite Ramanujan graphs of all degrees

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The zeta functions of complexes from \(\mathrm{PGL}(3)\): a representation-theoretic approach

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Artin<i>L</i>-Functions on Finite Quotients of PGL<sub>3</sub>

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ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS

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Identifiers

zbMATH Open document ID

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10.1098/rsta.2018.0441

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4993489

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