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On values of binary quadratic forms at integer points
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
On values of binary quadratic forms at integer points
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| Creator |
CHOUDHURI, M
DANI, SG |
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| Description |
We obtain estimates for the number of integral solutions in large balls, of inequalities of the form vertical bar Q(x, y)vertical bar < epsilon, where Q is an indefinite binary quadratic form, in terms of the Hurwitz continued fraction expansions of the slopes of the lines on which Q vanishes. The method is based on a coding of geodesics on the modular surface via Hurwitz expansions of the endpoints of their lifts in the Poincare half-plane.
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| Publisher |
INT PRESS BOSTON, INC
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| Date |
2016-01-15T11:02:54Z
2016-01-15T11:02:54Z 2015 |
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| Type |
Article
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| Identifier |
MATHEMATICAL RESEARCH LETTERS, 22(4)1023-1045
1073-2780 1945-001X http://dspace.library.iitb.ac.in/jspui/handle/100/18415 |
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| Language |
en
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