Sums of quadratic characters.
dc.contributor.author | Armon, Mary Vlastnik | en_US |
dc.contributor.advisor | Montgomery, Hugh L. | en_US |
dc.date.accessioned | 2014-02-24T16:18:00Z | |
dc.date.available | 2014-02-24T16:18:00Z | |
dc.date.issued | 1994 | en_US |
dc.identifier.other | (UMI)AAI9423136 | en_US |
dc.identifier.uri | http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:9423136 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/103903 | |
dc.description.abstract | This thesis explores the question of determining the size of the sum$$S(X,Y) = \sum\sb{D\in{\cal Q}\atop\vert D\vert\le X}\left\vert\sum\sb{n\le Y}\left({D\over n}\right)\right\vert\sp2,$$where (D/n) is the Kronecker symbol and defines a quadratic character. In 1973 Jutila proved that S(X,Y) $\ll$ $XY\log\sp8X$. In 1975 Saparnijazov and Fainleib refined Jutila's method to obtain an upper bound of $XY\log\sp2X$; this was thought to be best possible. This thesis proves that in fact S(X,Y) $\ll$ $XY\log X$. | en_US |
dc.format.extent | 45 p. | en_US |
dc.subject | Mathematics | en_US |
dc.title | Sums of quadratic characters. | en_US |
dc.type | Thesis | en_US |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Mathematics | en_US |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/103903/1/9423136.pdf | |
dc.description.filedescription | Description of 9423136.pdf : Restricted to UM users only. | en_US |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
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