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Cubic metaplectic forms and theta functions
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Ei...
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Lenguaje: | eng |
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Springer
1998
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Acceso en línea: | https://dx.doi.org/10.1007/BFb0093533 http://cds.cern.ch/record/1691673 |
_version_ | 1780935804417212416 |
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author | Proskurin, Nikolai |
author_facet | Proskurin, Nikolai |
author_sort | Proskurin, Nikolai |
collection | CERN |
description | The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications. |
id | cern-1691673 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1998 |
publisher | Springer |
record_format | invenio |
spelling | cern-16916732021-04-21T21:08:00Zdoi:10.1007/BFb0093533http://cds.cern.ch/record/1691673engProskurin, NikolaiCubic metaplectic forms and theta functionsMathematical Physics and MathematicsThe book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.Springeroai:cds.cern.ch:16916731998 |
spellingShingle | Mathematical Physics and Mathematics Proskurin, Nikolai Cubic metaplectic forms and theta functions |
title | Cubic metaplectic forms and theta functions |
title_full | Cubic metaplectic forms and theta functions |
title_fullStr | Cubic metaplectic forms and theta functions |
title_full_unstemmed | Cubic metaplectic forms and theta functions |
title_short | Cubic metaplectic forms and theta functions |
title_sort | cubic metaplectic forms and theta functions |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/BFb0093533 http://cds.cern.ch/record/1691673 |
work_keys_str_mv | AT proskurinnikolai cubicmetaplecticformsandthetafunctions |