Zobrazeno 1 - 10 of 44 pro vyhledávání: '"Rudolf Scharlau"'
3
A weak multiplicity-one theorem for Siegel modular forms
Autor: Rudolf Scharlau, Lynne H. Walling
Publikováno v: Pacific Journal of Mathematics. 211:369-374
Using the explicit action of the Hecke operators T(p) acting on the Fourier coefficients of Siegel modular forms of arbitrary degree and level, a short and elementary proof and a generalization of a result by Breulmann and Kohnen is obtained, which s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::34cab6d32c5be02fd6649fafeba87167
https://doi.org/10.2140/pjm.2003.211.369
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4
Well-rounded sublattices of planar lattices
Autor: Rudolf Scharlau, Michael Baake, Peter Zeiner
A lattice in Euclidean $d$-space is called well-rounded if it contains $d$ linearly independent vectors of minimal length. This class of lattices is important for various questions, including sphere packing or homology computations. The task of enume
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4384ff6f611874dddd28de5920529889
https://doi.org/10.4064/aa166-4-1
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5
Symplectic group lattices
Autor: Pham Huu Tiep, Rudolf Scharlau
Publikováno v: Transactions of the American Mathematical Society. 351:2101-2139
Let p p be an odd prime. It is known that the symplectic group S p 2 n ( p ) Sp_{2n}(p) has two (algebraically conjugate) irreducible representations of degree ( p n + 1 ) / 2 (p^{n}+1)/2 realized over Q ( ϵ p ) \mathbb {Q}(\sqrt {\epsilon p}) , whe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9024793e7e0924513c7b7366424555ca
https://doi.org/10.1090/s0002-9947-99-02469-1
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6
Classification of integral lattices with large class number
Autor: Boris Hemkemeier, Rudolf Scharlau
Publikováno v: Mathematics of Computation. 67:737-749
A detailed exposition of Kneser’s neighbour method for quadratic lattices over totally real number fields, and of the sub-procedures needed for its implementation, is given. Using an actual computer program which automatically generates representat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8a9b6c5c291a71ff2841feed60f4296
https://doi.org/10.1090/s0025-5718-98-00938-7
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7
Symplectic Groups, Symplectic Spreads, Codes, and Unimodular Lattices
Autor: Rudolf Scharlau, Pham Huu Tiep
Publikováno v: Journal of Algebra. 194:113-156
It is known that the symplectic group Sp 2 n ( p ) has two (complex conjugate) irreducible representations of degree ( p n + 1)/2 realized over Q ( −p ) , provided that p ≡ 3 mod 4. In the paper we give an explicit construction of an odd unimodul
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::194d804054370440f6d2e70c328bd28f
https://doi.org/10.1006/jabr.1996.6902
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9
Similar sublattices of planar lattices
Autor: Rudolf Scharlau, Michael Baake, Peter Zeiner
The similar sublattices of a planar lattice can be classified via its multiplier ring. The latter is the ring of rational integers in the generic case, and an order in an imaginary quadratic field otherwise. Several classes of examples are discussed,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df4f7a9a18548c16a75944dc4ae2d900
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