## Proceedings of the London Mathematical Society"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965. |

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absolutely convergent acnodes Actual Divisors algebra chasm functions coefficients conic conjugate continuous functions converges uniformly corresponding countable set cubic cubic surface denote differential equation divisors end-point equal expressed fn(x follows formula H. J. S. Smith harmonic conjugates Hence idempotent inequality infinite interval dP invariant sub-algebra Lebesgue integral limited total fluctuation limiting function lower function lower semi-continuous Math modulus nilpotent algebra numbers given obtain oscillation peak and chasm peak function points of uniform previous paper primitive proof proved quantities quintic rational real roots reciprocal factors residues respect result right-hand satisfied segment semi-continuous function semi-primary sequence set of points shew shewn Similarly suppose tends to infinity theorem theory triangular number uneven uniform convergence upper and lower upper function upper semi-continuous upper semi-continuous function values variable W. H. Young write zero