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Record Nr. |
UNINA9910461830703321 |
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Autore |
Katz Nicholas M. <1943-> |
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Titolo |
Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
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Pubbl/distr/stampa |
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Princeton ; ; Oxford, : Princeton University Press, c2012 |
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ISBN |
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1-283-37996-1 |
9786613379962 |
1-4008-4270-0 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (213 p.) |
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Collana |
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Annals of mathematics studies ; ; no. 180 |
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Classificazione |
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Disciplina |
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Soggetti |
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Mellin transform |
Convolutions (Mathematics) |
Sequences (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER |
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23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
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Sommario/riassunto |
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Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject. |
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2. |
Record Nr. |
UNINA9910818795403321 |
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Titolo |
Emerging vectors of narratology / / edited by Per Krogh Hansen [and three others] |
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Pubbl/distr/stampa |
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Berlin, [Germany] : , : De Gruyter, , 2017 |
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©2017 |
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ISBN |
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3-11-055488-7 |
3-11-055515-8 |
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Descrizione fisica |
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1 online resource (644 pages) |
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Collana |
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Narratologia, , 1612-8427 ; ; Volume 57 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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Frontmatter -- Preface -- Table of Contents -- Contexts -- "Contextualized Poetics" and Contextualized Rhetoric: Consolidation or Subversion? / Shen, Dan -- Rethinking the Unreliable Narrator: Is the Demarcation Heterodiegetic/ Homodiegetic Necessary? / Nilssen, Jannike Hegdal -- Autofiction and Authorial Unreliable Narration / Hansen, Per Krogh -- Beyond Unreliability: Resisting Naturalization of Normative Horizons / Stromberg, David -- Nabokov's "Ultima Thule": An Exercise in Generative Narratology / Timofeev, Valery -- Emerging Narrative Situations: A Definition of We-Narratives Proper / Bekhta, Natalya -- Critical Ethical Narratology as an Emerging Vector of Narrative Theory and Autobiographical End-of-Life Stories / Berning, Nora -- The Fictionalization of History in Metahistoriographic Fiction after the Constructivist Challenge / Kürschner, Manja -- Towards a Crossing of the Divide between Fiction and Non-Fiction in European Television Series and Movies: The Examples of the Italian Romanzo Criminale and the Danish Klovn -- Unnatural Narrative Theory: A Paradoxical Paradigm / Richardson, Brian -- Causal Expectation / Rossholm, Göran -- Eventfulness and Repetitiveness: Two Aesthetics of Storytelling / Schmid, Wolf -- The Garden of Forking Paths: Virtualities and Challenges for Contemporary Narratology / Baroni, Raphaël -- The Representation of Character Interiority in Film: Cinematic Versions of |
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Psychonarration, Free Indirect Discourse and Direct Thought / Alber, Jan -- Intermedial Transposition: From Verbal Story to Music. Narrative in Musical Works Based on Romeo and Juliet / Pawłowska, Małgorzata -- How to Measure Narrativity? Notes on Some Problems with Comparing Degrees of Narrativity Across Different Media / Brütsch, Matthias -- From Structural Narratology to Enunciative Pragmatics: Greek Poetic Forms between Mythical Narrative and Ritual Act / Calame, Claude -- Comparison of Chinese-Western Narrative Poetics: State of the Art / Luo, Huaiyu -- Openings -- What is Your Narrative? Lessons from the Narrative Turn / Roussin, Philippe -- How Many 'Turns' Does it Take to Change a Discipline? Narratology and the Interdisciplinary Rhetoric of the Narrative Turn / Dawson, Paul -- The Promise of an Embodied Narratology: Integrating Cognition, Representation and Interpretation / Caracciolo, Marco / Guédon, Cécile / Kukkonen, Karin / Müller, Sabine -- Beyond Fictional Worlds: Narrative and Spatial Cognition / Walsh, Richard -- Is There a Future for Neuro-Narratology? Thoughts on the Meeting of Cognitive Narratology and Neuroaesthetics / Schneider, Ralf -- In Search of Coherence: Tacit Negotiations between the Paradigmatic and the Syntagmatic in Narratology and Narrativity / Wagner, Eva Sabine -- Complexity: A Paradigm for Narrative? / Pier, John -- The Story behind any Story: Evolution, Historicity and Narrative Mapping / Landa, José Ángel García -- The Future of Narratology's Past: A Contribution to Metanarratology / Sommer, Roy -- Notes on Contributors -- Index |
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Sommario/riassunto |
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Narratology has been flourishing in recent years thanks to investigations into a broad spectrum of narratives, at the same time diversifying its theoretical and disciplinary scope as it has sought to specify the status of narrative within both society and scientific research. The diverse endeavors engendered by this situation have brought narrative to the forefront of the social and human sciences and have generated new synergies in the research environment.Emerging Vectors of Narratology brings together 27 state-of-the-art contributions by an international panel of authors that provide insight into the wealth of new developments in the field. The book consists of two sections. "Contexts" includes articles that reframe and refine such topics as the implied author, narrative causation and transmedial forms of narrative; it also investigates various historical and cultural aspects of narrative from the narratological perspective. "Openings" expands on these and other questions by addressing the narrative turn, cognitive issues, narrative complexity and metatheoretical matters.The book is intended for narratologists as well as for readers in the social and human sciences for whom narrative has become a crucial matrix of inquiry. |
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