Background
Ingham was born in Northampton.
Ingham was born in Northampton.
Ingham was born in Northampton. He went to Stafford Grammar School and, Cambridge.
Ingham died in Chamonix, France. Ingham proved in 1937 that if for some positive constant c, then for any θ > (1+4c)/(2+4c). Here ζ denotes the Riemann zeta function and π the prime-counting function.
Using the best published value for c at the time, an immediate consequence of his result was that gn < pn5/8, where pn the n-th prime number and gn = pn+1 − pn denotes the n-th prime gap.
Royal Society.
