Integral structures in algebraic tori

1995 ◽  
Vol 59 (5) ◽  
pp. 881-897 ◽  
Author(s):  
V E Voskresenskii ◽  
T V Fomina
1991 ◽  
Vol 124 ◽  
pp. 133-144 ◽  
Author(s):  
Masanori Morishita

As an interpretation and a generalization of Gauss’ genus theory on binary quadratic forms in the language of arithmetic of algebraic tori, Ono [02] established an equality between a kind of “Euler number E(K/k)” for a finite Galois extension K/k of algebraic number fields and other arithmetical invariants associated to K/k. His proof depended on his Tamagawa number formula [01] and Shyr’s formula [Sh] which follows from the analytic class number formula of a torus. Later, two direct proofs were given by Katayama [K] and Sasaki [Sa].


2016 ◽  
Vol 6 (4) ◽  
pp. 25 ◽  
Author(s):  
Nauman Al Amin Ali

Manifest intertextuality is a fundamental aspect of all academic discourse, and, hence, this study purports to explorethe myriad functions of citation in a representative and contrastive corpus drawn from 20 Literature Review chaptersin the domain of Applied Linguistics, and equally divided among Ph.D. theses successfully defended in Sudan andBritain. A variety of typologies were utilized to elicit citations, including Thompson’s (2005) classification ofintegral and non-integral citations, together with Hyland’s (2002) designation of denotative and evaluative functionsassociated with reporting verbs. Groom’s (2000) and Petric’s (2007) notions of averral and attribution, propositionalresponsibility and knowledge transformation also inform this investigation. Results indicate that the densedeployment of citations and the predilection both corpora have for integral structures, verbatim quotations andpresent active Discourse reporting verbs are largely dictated by the discursive and human-imbued nature of AppliedLinguistics. On the other hand, the findings reveal that Sudanese candidates formally and functionally employcitations in manners markedly different from their British peers. Thus, the Sudanese corpus is characterized byblatant errors, repetition and awkwardness in both documenting sources and reporting the findings of research.Moreover, naïve unwarranted quotations and authorial evaluations were ubiquitously observed, as compared to theBritish corpus. More significantly, there were ample variations in the way in which the two groups conceive of therole of the Literature Review. While the British adopted a range of Writer-oriented and metadiscoursal strategies toamalgamate and integrate the cited materials within their mainstream arguments, the Sudanese candidates werestrictly concerned with unmediated and uncontested attribution of ideas to their authors. Such is the synthetic natureof the resultant type of this Literature Review that the writer’s textual voice is submerged under the sheer burden ofsuccessive descriptive citations, thus eclipsing almost all of the objectives of this chapter in critiquing sources andsubordinating the cited literature to the overarching transformative perspective of the thesis writer. The Discussion isilluminated through extensive quotations from the two corpora.


1980 ◽  
Vol 79 ◽  
pp. 187-190 ◽  
Author(s):  
Shizuo Endo ◽  
Takehiko Miyata

There are some errors in Theorems 3.3 and 4.2 in [2]. In this note we would like to correct them.1) In Theorem 3.3 (and [IV]), the condition (1) must be replaced by the following one;(1) П is (i) a cyclic group, (ii) a dihedral group of order 2m, m odd, (iii) a direct product of a cyclic group of order qf, q an odd prime, f ≧ 1, and a dihedral group of order 2m, m odd, where each prime divisor of m is a primitive qf-1(q — 1)-th root of unity modulo qf, or (iv) a generalized quaternion group of order 4m, m odd, where each prime divisor of m is congruent to 3 modulo 4.


1953 ◽  
Vol 57 (508) ◽  
pp. 215-227 ◽  
Author(s):  
E. D. Keen

There has been considerable activity of recent years, particularly in America, in the field of integral structures for aircraft.The fundamental problem in aircraft structures is to make a relatively thin skin covering take applied compression, shear and bending loads. This has been achieved so far by the attachment of stiffeners, but this requires a large amount of riveting which in itself causes structural inefficiency and also spoils the smoothness of the skin, particularly when laminar flow is desired. Metal gluing shows great advantages over riveting in this respect but it is doubtful whether the bond strength will be great enough to attach very heavy stringers to very thick sheet. Where structural loadings become higher the required thickness of sheet and stringers may make the continued use of riveting difficult, if not impossible.


1987 ◽  
Vol 107 ◽  
pp. 121-133 ◽  
Author(s):  
Takashi Ono

Let k be an algebraic number field of finite degree over Q, the field of rationals, and K be an extension of finite degree over k. By the use of the class number of algebraic tori, we can introduce an arithmetical invariant E(K/k) for the extension K/k. When k = Q and K is quadratic over Q, the formula of Gauss on the genera of binary quadratic forms, i.e. the formula where = the class number of K in the narrow sense, the number of classes is a genus of the norm form of K/Q and tK = the number of distinct prime factors of the discriminant of K, may be considered as an equality between E(K/Q) and other arithmetical invariants of K.


2014 ◽  
Vol E97.D (3) ◽  
pp. 442-447
Author(s):  
Shuji ISOBE ◽  
Eisuke KOIZUMI ◽  
Yuji NISHIGAKI ◽  
Hiroki SHIZUYA

1963 ◽  
Vol 78 (1) ◽  
pp. 47 ◽  
Author(s):  
Takashi Ono
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document