On Sums of Sixteen Biquadrates
On Sums of Sixteen Biquadrates
By 1939 it was known that 13792 cannot be expressed as a sum of sixteen biquadrates (folklore), that there exist infinitely many natural numbers which cannot be written as sums of fifteen biquadrates (Kempner) and that every sufficiently large integer is a sum of sixteen biquadrates (Davenport).In this memoir it …