Equal Sums of Like Powers - my dissertation

This dissertation (written for the MMath degree at Oxford) looks at various problems of the form 'in how many ways can an integer be written as a sum of a given number of positive nth powers'. About the only proven result in this field is that there exist integers writable in arbitrarily many ways as a sum of two positive cubes; I give this result with a proof due to Hardy, and also the results of a large number of searches.

In summary:

If you're still interested, why not read the dissertation itself?

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