Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields
Tohoku Mathematical Journal, 1989 The authors study the class numbers of genera of \({\mathcal O}\)-lattices in a positive definite Hermitian space (V,H), the space being defined over an arbitrary imaginary quadratic field K with the ring of integers \({\mathcal O}\). Let \({\mathbb{G}}\) and \({\mathbb{G}}^{(1)}\) be the unitary group and the special unitary group of (V,H ...
Hashimoto, Ki-ichiro, Koseki, Harutaka
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Applications of Hyperbolic Geometry to Continued Fractions and Diophantine Approximation [PDF]
, 2019 This dissertation explores relations between hyperbolic geometry and Diophantine approximation, with an emphasis on continued fractions over the Euclidean imaginary quadratic fields, Q(√−d), d = 1, 2, 3, 7, 11, and explicit examples of badly ...
Hines, Robert
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Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields
Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fieldsKoseki, Harutaka +1 more
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Levels and sublevels of composition algebras [PDF]
, 2007 Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
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Classification of Hermitian Forms With the Neighbour Method [PDF]
, 1998 The neighbour method of Kneser can be adapted to the hermitian case. Generalizing results of [Hof91], we show that it can be used to classify any genus in a hermitian space of dimension 2 by neighbour steps at suitable primes. The method was implemented
Schiemann, A, Alexander Schiemann
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Ten problems on quadratic forms [PDF]
, 2001 We describe the structure of the Witt group WOS(K) of any Hasse domain OS(K) of a global field K by explicitly determining its cyclic direct summands and generators of each such summand.
Szymiczek, Kazimierz, Czogała, Alfred
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Unitary periods, Hermitian forms and points on flag varieties
, 2007 Let E be an imaginary quadratic extension of Q of class number one. We examine certain representation numbers associated to Hermitian forms over E, which involve counting integral points on flag ...
Gautam Chinta +3 more
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On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields
, 1987 SIGLETIB: RO 2556 (1987,23) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische ...
Koseki, H. +3 more
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Hermitian and Unitary Almost-Companion Matrices of Polynomials on Demand. [PDF]
Entropy (Basel), 2023 Markovich LA, Migliore A, Messina A.
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Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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