Hugh L. Montgomery

E577185

Hugh L. Montgomery is an American mathematician renowned for his work in analytic number theory, particularly on the distribution of prime numbers and the zeros of the Riemann zeta function.

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Label Occurrences
Hugh L. Montgomery canonical 3

Statements (31)

Predicate Object
instanceOf human
mathematician
academicAdvisor Harold Davenport NERFINISHED
coAuthor Alan Odlyzko NERFINISHED
Enrico Bombieri NERFINISHED
Robert C. Vaughan NERFINISHED
countryOfCitizenship United States of America
doctoralStudent Andrew Granville NERFINISHED
Jeffrey Vaaler NERFINISHED
K. Soundararajan NERFINISHED
Peter Sarnak NERFINISHED
educatedAt Cambridge University
surface form: University of Cambridge

University of Michigan
employer University of Michigan NERFINISHED
fieldOfWork analytic number theory
mathematics
number theory
hasReceivedAward Steele Prize for Mathematical Exposition NERFINISHED
knownFor connections between random matrix theory and zeta zeros
pair correlation of zeros of the Riemann zeta function
results on exponential sums
results on large sieve inequalities
results on multiplicative functions
languageOfWorkOrName English
memberOf American Mathematical Society NERFINISHED
notableWork Montgomery pair correlation conjecture NERFINISHED
Montgomery–Vaughan book "Multiplicative Number Theory I. Classical Theory" NERFINISHED
Montgomery–Vaughan multiplicative number theory results NERFINISHED
work on distribution of primes
work on zeros of the Riemann zeta function
positionHeld professor of mathematics at the University of Michigan

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