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Title: | Simultaneous rational approximation via Rickert’s integrals |
Authors: | Sharma, Divyum |
Keywords: | Mathematics Simultaneous approximation Padé approximation Contour integrals |
Issue Date: | Jan-2015 |
Publisher: | Elsevier |
Abstract: | Using Rickert’s contour integrals, we give effective lower bounds for simultaneous rational approximations to numbers in the sets Here are integers, is a rational number and at least one of the radicals is irrational in each set. The result is valid for all where denotes the denominator of the approximating rational number. |
URI: | https://www.sciencedirect.com/science/article/pii/S001935771400055X http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11447 |
Appears in Collections: | Department of Mathematics |
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