Albert Ingham

Albert Ingham

Born
Albert Edward Ingham

(1900-04-03)3 April 1900
Died6 September 1967(1967-09-06) (aged 67)
Switzerland
Alma materTrinity College, Cambridge
Spouse(s)
(m. 1932)
AwardsSmith's Prize (1921)
Fellow of the Royal Society
Scientific career
InstitutionsKing's College, Cambridge
Doctoral studentsWolfgang Fuchs
C. Haselgrove
Christopher Hooley
Robert Rankin
InfluencesJohn Edensor Littlewood
Notes
Erdős Number: 1

Albert Edward Ingham FRS (3 April 1900 – 6 September 1967) was an English mathematician.

Biography

Ingham was born in Northampton. He went to Stafford Grammar School and began his studies at Trinity College, Cambridge in January 1919 after service in the British Army in World War One. Ingham received a distinction as a Wrangler in the Mathematical Tripos at Cambridge. He was elected a fellow of Trinity in 1922. He also received an 1851 Research Fellowship.

Ingham married Rose Marie "Jane" Tupper‑Carey in 1932; the couple had two sons. Ingham died in Switzerland in 1967.

Research

Ingham was appointed a Reader at Leeds University in 1926 and returned to Cambridge University as a fellow of King's College and lecturer in 1930. Ingham was appointed after the death of Frank Ramsey. Ingham was elected a Fellow of the Royal Society in 1945. Ingham's sole book, On the Distribution of Prime Numbers was published in 1932.

Ingham supervised the Ph.D.s of C. Brian Haselgrove, Wolfgang Fuchs and Christopher Hooley.

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+1pn denotes the n-th prime gap.


This page was last updated at 2022-04-24 13:49 UTC. Update now. View original page.

All our content comes from Wikipedia and under the Creative Commons Attribution-ShareAlike License.


Top

If mathematical, chemical, physical and other formulas are not displayed correctly on this page, please useFirefox or Safari