Colgate University

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19972026

most citedThe Arecibo Legacy Fast ALFA Survey: The alpha.40 HI Source Catalog, its Characteristics and their Impact on the Derivation of the HI Mass Function

683 citations

Showing 2012 · math.COShow all

2 papers · 2 filters

math.CO2012★ 1 cited

The 2-color Rado number of $x_{1} + x_{2} + ... + x_{m - 1} = a x_{m}$

Dan Saracino

In 1982, Beutelspacher and Brestovansky proved that for every integer $m \geq 3,$ the 2-color Rado number of the equation $x_{1} + x_{2} + ... + x_{m - 1} = x_{m}$ is $m^{2} - m - 1.$ In 2008, Schaal a…

math.CO2012

A Probabilistic Threshold for Monochromatic Arithmetic Progressions

Aaron Robertson

We show that $k \cdot r^{k /2}$ is a threshold interval length where, under mild conditions, almost every $r$ -coloring of an interval of longer length contains a monochromatic…

The 2-color Rado number of x1​+x2​+...+xm−1​=axm​

A Probabilistic Threshold for Monochromatic Arithmetic Progressions

The 2-color Rado number of $x_{1} + x_{2} + ... + x_{m - 1} = a x_{m}$