# Mathematician:Hugh Lowell Montgomery

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## Mathematician

American mathematician best known for his work in analytic number theory and mathematical analysis.

## Nationality

American

## History

- Born: 26 August 1944

## Theorems and Definitions

## Publications

- 1971:
*Topics in Multiplicative Number Theory* - 1973:
*The Large Sieve*(*Mathematika*: 119 – 134) (with Robert Charles Vaughan) - 1973:
*The pair correlation of zeros of the zeta function*(*Proc. Sympos. Pure Math.***Vol. XXIV**: 181 – 193) (in which Montgomery's Pair Correlation Conjecture is presented) - 1974:
*Zeros of the Derivatives of the Riemann Zeta Function*(*Acta Math.***Vol. 133**: 49 – 65) (with Norman Levinson) - 1990:
*Products of Polynomials in Many Variables*(*Journal of Number Theory***Vol. 36**,*no. 2*: 219 – 245) (with Bernard Beauzamy, Enrico Bombieri and Per Enflo) - 1991:
*An Introduction to the Theory of Numbers, 5th ed.*(with Ivan Niven and Herbert S. Zuckerman) - 1994:
*Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis* - 2000: Preface to
*Multiplicative Number Theory (3rd ed.)*by Harold Davenport - 2007:
*Multiplicative number theory: I. Classical Theory*(with Robert C. Vaughan)