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**Date:** 2015
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1317344
**Description:** We prove a weighted analogue of the Khintchineâ€“Groshev theorem, where the distance to the nearest integer is replaced by the absolute value. This is applied to proving the optimality of several linear... More
**Reviewed:**
**Creators:**
Sutherland, Daniel James
**Date:** 2015
**Language:** eng
**Resource Type:** thesis
**Identifier:** http://hdl.handle.net/1959.13/1059943
**Description:** Research Doctorate - Doctor of Philosophy (PhD)
**Full Text:**
**Date:** 2013
**Keyword:** number theory | functional analysis | operator theory | operations research | management science
**Language:** eng
**Resource Type:** book chapter
**Identifier:** http://hdl.handle.net/1959.13/1294340
**Description:** Enlargements have proven to be useful tools for studying maximally monotone mappings. It is therefore natural to ask in which cases the enlargement does not change the original mapping. Svaiter has re... More
**Creators:**
Aragón Artacho, Francisco J. | Bailey, David H. | Borwein, Jonathan M. | Borwein, Peter B.
**Date:** 2013
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940125
**Description:** Motivated by the desire to visualize large mathematical data sets, especially in number theory, we offer various tools for representing ï¬‚oating point numbers as planar(or three dimensional) walks and ... More
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**Reviewed:**
**Date:** 2010
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/933159
**Description:** One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting nume... More
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**Reviewed:**
**Date:** 2008
**Resource Type:** journal article
**Identifier:** uon:5577
**Description:** The Fundamental Theorem of Arithmetic is usually stated in a form emphasizing how primes enter the structure of the positive integers, such as: Every positive integer is the product of a unique finite... More
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**Reviewed:**
**Date:** 1999
**Keyword:** number theory | 51M04 | 11D25 | diophantine equations | cubic and quartic equations | elementary problems in Euclidean geometries
**Language:** eng
**Resource Type:** journal article
**Identifier:** uon:6511
**Description:** We study triangles and cyclic quadrilaterals which have rational area and whose sides form geometric or arithmetic progressions. A complete characterization is given for the infinite family of triangl... More
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**Reviewed:**