Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
Ten lectures on the interface between analytic number theory and harmonic analysis
- H. Montgomery
- Mathematics
- 1994
Uniform distribution van der Corput sets Exponential sums I: The methods of Weyl and van der Corput Exponential sums II: Vinogradov's method An introduction to Turan's method Irregularities of…
Topics in Multiplicative Number Theory
- H. Montgomery
- Mathematics
- 1971
Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value…
Primes in Short Intervals
- H. Montgomery, K. Soundararajan
- Mathematics
- 15 September 2004
Contrary to what would be predicted on the basis of Cramér’s model concerning the distribution of prime numbers, we develop evidence that the distribution of ψ(x+H)−ψ(x), for 0≤x≤N, is approximately…
Minimal theta functions
- H. Montgomery
- MathematicsGlasgow Mathematical Journal
- 1 January 1988
Let be a positive definite binary quadratic form with real coefficients and discriminant b2 − 4ac = −1. Among such forms, let . The Epstein zeta function of f is denned to be Rankin [7], Cassels [1],…
Pair Correlation of Zeros and Primes in Short Intervals
- D. Goldston, H. Montgomery
- Mathematics
- 1987
In 1943, A. Selberg [15] Deduced From The Riemann Hypothesis (Rh) that
$$\int\limits_{\rm{1}}^{\rm{X}} {{{\left( {\psi \left( {\left( {{\rm{1 + }}\delta } \right){\rm{x}}} \right){\rm{ - }}\psi…
A bound for the least prime ideal in the Chebotarev Density Theorem
- J. Lagarias, H. Montgomery, A. Odlyzko
- Mathematics
- 1 October 1979
as x --, oc. In [7] two versions of the Chebotarev density theorem were proved, one unconditional and the other on the assumption of the Generalized Riemann Hypothesis (GRH), each of which expressed…
Extreme values of the Riemann zeta function
- H. Montgomery
- Mathematics
- 1 December 1977
The exceptional set in Goldbach''s problem
- H. Montgomery, R. Vaughan
- Physics
- 1975
An electromagnetic release device for cameras which may selectively be operated continuously comprises a motor circuit, a first switching means adapted to turn the motor circuit on or off, a stopper…
...
...