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標(biāo)題: Titlebook: Basic Structures of Function Field Arithmetic; David Goss Book 1998 Springer-Verlag Berlin Heidelberg 1998 Dimension.Drinfeld module.Grad. [打印本頁]

作者: 相反    時間: 2025-3-21 17:42
書目名稱Basic Structures of Function Field Arithmetic影響因子(影響力)




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書目名稱Basic Structures of Function Field Arithmetic讀者反饋學(xué)科排名





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CPU Architecture Modelling and Co-designWe retain the notation of Section 4; thus . is our base curve over . (. = .) with fixed closed point ∞ ∈ ., function field . and where Spec(.) = .?∞. We let . be the completion of an algebraic closure of the completion . of . at ∞. Let . be the algebraic closure and . . the separable closure. Set
作者: STING    時間: 2025-3-22 12:25
Lecture Notes in Computer ScienceIn this section we will introduce .-functions into the arithmetic of function fields. We do this by building on a basic, and still quite mysterious, construction of L. Carlitz in the . = .[.]-case. Recall that in Section 3.3 we introduced the Carlitz exponential .where . for . > 1, and .. In Proposition 3.1.6 we showed that
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Additional Topics,In this last section, we will briefly describe . current areas of research into the arithmetic described in the previous nine sections. We emphasize the word “some” as this section is not meant to be considered exhaustive.
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作者: separate    時間: 2025-3-24 01:33
978-3-540-63541-3Springer-Verlag Berlin Heidelberg 1998
作者: CLAMP    時間: 2025-3-24 02:45
David GossA new and fascinating area of math *.The author is a fundamental contributor to the field *.The first systematic treatment of this subject * Introduces vital areas of current research * Clear expositi
作者: HAIL    時間: 2025-3-24 07:39

作者: 惡名聲    時間: 2025-3-24 13:32
The Carlitz Module,e, most essential ideas about Drinfeld modules appear in the theory of the Carlitz module. Thus it is an excellent example for the reader to master and keep in mind when reading the more abstract general theory. Our basic reference is [C1], but see also [Go2].
作者: 煤渣    時間: 2025-3-24 14:58
Sign Normalized Rank 1 Drinfeld Modules, .. This basic construction is due to David Hayes [Ha3] [Ha2]. Thus we will also call them “Hayes-modules.” We will use Hayes-modules to construct a “cyclotomic theory” of function fields. The reader will find much that is familiar in these extensions from classical theory.
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作者: Emmenagogue    時間: 2025-3-25 08:53
https://doi.org/10.1007/978-3-031-32041-5reover, most of the salient features of Drinfeld modules are seen on the Carlitz module. Among these are: 1. The “l(fā)attice” .[.].; 2. The exponential of .[.]. (= the Carlitz exponential .(.)); 3. The multiplication law of .(.) (= the Carlitz module .); 4. The algebraicity of . and its reductions to f
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作者: 人造    時間: 2025-3-25 21:18
miliar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss‘clear exposition and lively style make this book an excellent introduction to this fascinating field." .MR 97i:11062.978-3-540-63541-3978-3-642-61480-4
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作者: 施舍    時間: 2025-3-26 12:31
Introduces vital areas of current research * Clear expositiFrom the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive
作者: Bravado    時間: 2025-3-26 14:37
https://doi.org/10.1007/978-3-031-32041-5f .[.]. (= the Carlitz exponential .(.)); 3. The multiplication law of .(.) (= the Carlitz module .); 4. The algebraicity of . and its reductions to fields of “finite” characteristic; and 5. The action of .[.] on rational points via ..
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作者: hemoglobin    時間: 2025-3-27 05:08
Lecture Notes in Computer Sciencemodel of this action, i.e., the shtukas will be certain locally free sheaves on the . curve . corresponding to . (or . base changed to an overfield of .). One can then study shtukas through powerful projective methods.
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Shtukas,lobal field over the finite field . and . is the subring of functions regular away from a fixed place ∞. As in Sections 4 and 5, we have seen that Drinfeld modules and .-modules correspond to representing . as a ring of operators on . for some .. The notion of a shtuka, then corresponds to a proper
作者: anarchist    時間: 2025-3-27 20:13
Sign Normalized Rank 1 Drinfeld Modules, .. This basic construction is due to David Hayes [Ha3] [Ha2]. Thus we will also call them “Hayes-modules.” We will use Hayes-modules to construct a “cyclotomic theory” of function fields. The reader will find much that is familiar in these extensions from classical theory.
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The Historical Background of Pentecostalism and Higher Education twentieth century, these efforts were rudimentary and limited to theological education but, contrary to popular opinion, it was not just because pentecostals had an anti-intellectual bias. Rather, other factors were at play as well, including (1) historical, (2) theological, and (3) socioeconomic f
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Sustainable Branding – Konzept, Wirkungen und empirische Befundewerden sollten und welche Wirkungen Sustainable Branding besitzt. Vor diesem Hintergrund wird im Folgenden eine begriffliche Abgrenzung und Interpretation von Sustainable Branding vorgenommen. Darauf aufbauend werden zentrale Gestaltungsfragen nachhaltiger Markensubstanz und Markenkommunikation er?r
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0302-9743 , Theories and Applications, Multimedia Processing and Analysis; Low-level Vision and Image Processing; Biomedical Image Processing and Analysis; Machine Learning, Neural Network and Deep Learning, and New Advances in Visual Perception and Understanding..978-3-030-88003-3978-3-030-88004-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Book 2019es has been unsustainable and has created global environmental change and multiple conflicts over scarce and polluted resources. Peace and development policies aiming at gender equity and sustainable environmental management, where water and food are crucial for the survival of humankind, focus on s
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Class I Antiarrhythmic Drugs: Na+ Channel Blockers, Brugada syndrome, LQT3 syndrome, familial AF, and many others. The novel indications of I. blockers such as low dose quinidine in Brugada syndrome, and Mexiletine in LQT3 syndrome, provide new therapeutic options in patients with sodium channelopathies..Discoveries of ion channels and their respect
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A Convex Optimization Toolbox,ial calculus, which appears to be nothing but a partial subdifferential rule. Applications are provided to the infimal convolution, as well as recession and perspective functions. The relaxation of some nonconvex problems is analyzed thanks to the Shapley–Folkman theorem.




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