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Class invariants from a new kind of Weber-like modular equation
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Hart, William B. (2013) Class invariants from a new kind of Weber-like modular equation. Working Paper. [s.n.].
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Abstract
A technique is described for explicitly evaluating quotients of the Dedekind eta function at quadratic integers. These evaluations do not make use of complex approximations but are found by an entirely `algebraic' method. They are obtained by means of specialising certain modular equations related to Weber's modular equations of `irrational type'. The technique works for certain eta quotients evaluated at points in an imaginary quadratic field with discriminant d1 (mod 8).
| Item Type: | Working or Discussion Paper (Working Paper) | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Weber functions, Dedekind sums | ||||
| Publisher: | [s.n.] | ||||
| Official Date: | 2013 | ||||
| Dates: |
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| Status: | Not Peer Reviewed | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
| Grant number: | EP/G004870/1 (EPSRC) |
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