Albert Ingham
Albert Edward Ingham FRS was an English mathematician.Education
Ingham was born in Northampton. He went to Stafford Grammar School and Trinity College, Cambridge.Research
Ingham supervised the Ph.D.s of C. Brian Haselgrove, Wolfgang Fuchs and Christopher Hooley. Ingham died in Chamonix, France.
Ingham proved in 1937 that if
for some positive constant c, then
for any θ > /. 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
where pn the n-th prime number and gn = pn+1 − pn denotes the n-th prime gap.
