EXCERPTED FROM SECTION 12.6 Computational Irreducibility

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REPORT ON THE IRREDUCIBILITY OF L-FUNCTIONS NICHOLAS M. KATZ Abstract. In this paper, in honor of the memory of Serge Lang, we apply ideas of Chavdarov and work of Larsen to study the Qirreducibility, or lack thereof, of

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Mathematical Research Letters 10, 709–IRREDUCIBILITY OF HECKE POLYNOMIALS Srinath Baba and M. Ram Murty

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Report on the Conference “Emergence and Causation” (Macerata, 23–25 SeptemberErnesto Graziani † The conference “Emergence and Causation” took place in Macerata on

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• Philosophy
• Metaphysics
• Causality
• Philosophy of science
• Emergence
• Emergentism
• Reductionism
• Downward causation
• Supervenience
• Philosophy of mind
• Ontology
• Irreducibility

Computational Irreducibility and Computational Analogy

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• Computability theory
• Theory of computation
• Turing machine
• Alan Turing
• Models of computation
• Computability
• ChurchTuring thesis
• Computable function
• Algorithm
• Reduction
• Turing completeness
• Machine that always halts

A NOTE ON THE IRREDUCIBILITY OF HECKE POLYNOMIALS Kevin James and Ken Ono Let S2k denote the space of modular cusp forms of weight 2k for SL2 (Z). If f (z) := P∞

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On an Irreducibility Theorem of A. Schinzel Associated with Coverings of the Integers by M. Filaseta*, K. Ford, and S. Konyagin**

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Stalk-local detection of irreducibility Andrew Critch, UC Berkeley September 28, 2008 I think this is one more “stalk-local detection” result that people should learn right away: Theorem. A locally Noetherian scheme

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D-spaces, irreducibility and trees Leandro F. Aurichi L´ ucia R. Junqueira

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An Algorithm to Detect Full Irreducibility by Bounding the Volume of Periodic Free Factors

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