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Conference Paper: Sign changes of Fourier coefficients of cusp forms and representations of integers by quadratic polynomials
Title | Sign changes of Fourier coefficients of cusp forms and representations of integers by quadratic polynomials |
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Authors | |
Issue Date | 2017 |
Citation | Postech-HIT International Number Theory Workshop on Arithmetics of Automorphic Forms, Harbin Institute of Technology (HIT), Harbin, China, 27-30 June 2017 How to Cite? |
Abstract | In this talk, we discuss an application of recent results involving sign changes of Fourier coefficients of cusp forms. In particular, we discuss their applications to the study of representations of integers by totally positive ternary quadratic polynomials. Part of this is work in progress, while another is based on joint work with K.C. Fung, with a specific application of the latter part in showing the halting of an algorithm to compute a supersingular elliptic with a given enfomorphism ring. |
Persistent Identifier | http://hdl.handle.net/10722/285137 |
DC Field | Value | Language |
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dc.contributor.author | Kane, BR | - |
dc.date.accessioned | 2020-08-10T03:23:09Z | - |
dc.date.available | 2020-08-10T03:23:09Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Postech-HIT International Number Theory Workshop on Arithmetics of Automorphic Forms, Harbin Institute of Technology (HIT), Harbin, China, 27-30 June 2017 | - |
dc.identifier.uri | http://hdl.handle.net/10722/285137 | - |
dc.description.abstract | In this talk, we discuss an application of recent results involving sign changes of Fourier coefficients of cusp forms. In particular, we discuss their applications to the study of representations of integers by totally positive ternary quadratic polynomials. Part of this is work in progress, while another is based on joint work with K.C. Fung, with a specific application of the latter part in showing the halting of an algorithm to compute a supersingular elliptic with a given enfomorphism ring. | - |
dc.language | eng | - |
dc.relation.ispartof | Postech-HIT International Number Theory Workshop on Arithmetics of Automorphic Forms, HIT, Harbin, China | - |
dc.title | Sign changes of Fourier coefficients of cusp forms and representations of integers by quadratic polynomials | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Kane, BR: bkane@hku.hk | - |
dc.identifier.authority | Kane, BR=rp01820 | - |
dc.identifier.hkuros | 273170 | - |