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30 year-old Entertainer or Range Artist Wesley from Drumheller, really loves vehicle, property developers properties for sale in singapore singapore and horse racing. Finds inspiration by traveling to Works of Antoni Gaudí. Template:Use British English Template:Infobox scientist Albert Edward Ingham FRS (3 April 1900 – 6 September 1967) 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

$\zeta (1/2+it)\in O\left(t^c\right)$

for some positive constant c, then

$\pi (x+x^{\theta })-\pi (x)\sim \frac{x^{\theta }}{\log x},$

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

g_n < p_n^5/8,

where p_n the n-th prime number and g_n = p_n+1 − p_n denotes the n-th prime gap.