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The Waring Problem with the Ramanujan τ -Function, II
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\tau \left( n \right)$ be the Ramanujan $\text{ }\!\!\tau\!\!\text{ }$-function. We prove that for any integer $N$ with $\left| N \right|\,\ge \,2$ the diophantine equation
has a solution in positive integers ${{n}_{1}},\,{{n}_{2}},\,.\,.\,.\,,\,{{n}_{148000}}$ satisfying the condition
for some absolute constant $c\,>\,0$.
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- Copyright © Canadian Mathematical Society 2009
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