H. Montgomery

发表

Topics in Multiplicative Number Theory

H. Montgomery, 1971 .

A bound for the least prime ideal in the Chebotarev Density Theorem

A. Odlyzko, J. Lagarias, H. Montgomery, 1979 .

Hilbert’s inequality

H. Montgomery, R. Vaughan, 1974 .

Ten lectures on the interface between analytic number theory and harmonic analysis

H. Montgomery, 1994 .

The analytic principle of the large sieve

H. Montgomery, 1978 .

Primes in arithmetic progressions.

Hugh L. Montgomery, H. Montgomery, 1970 .

Multiplicative Number Theory I: Classical Theory

Hugh L. Montgomery, Robert C. Vaughan, H. Montgomery, 2006 .

Exponential sums with multiplicative coefficients

Hugh L. Montgomery, Robert C. Vaughan, H. Montgomery, 1977 .

Minimal theta functions

Hugh L. Montgomery, H. Montgomery, 1988, Glasgow Mathematical Journal.

Zeros of a Family of Approximations of the Riemann Zeta-Function

H. Montgomery, S. Gonek, 2013 .

Fluctuations in the mean of Euler’s phi function

H. Montgomery, 1987 .

Moments of a Thue–Morse generating function

C. Mauduit, H. Montgomery, J. Rivat, 2018, Journal d'Analyse Mathématique.

On the distribution of reduced residues

Hugh L. Montgomery, Robert C. Vaughan, H. Montgomery, 1986 .

A note on rearrangements of Fourier coefficients

H. Montgomery, 1976 .

Workshop: Analytic Number Theory Table of Contents

J. Beck, A. Arbor, H. Montgomery, 2014 .

Zeros of the derivatives of the Riemann zeta-function

N. Levinson, H. Montgomery, 1974 .

Primes in Short Intervals

H. Montgomery, K. Soundararajan, 2004, math/0409258.

A Note on the Large Sieve

H. Montgomery, 1968 .

Beyond pair correlation

H. Montgomery, K. Soundararajan, 2000, math/0003234.

An exponential polynomial formed with the Legendre symbol

H. Montgomery, 1980 .

Spirals of the Zeta Function I

H. Montgomery, S. Gonek, 2015 .

Mean and large values of Dirichlet polynomials

H. Montgomery, 1969 .

On the $L$-functions of canonical Hecke characters of imaginary quadratic fields, II

H. Montgomery, D. Rohrlich, 1980 .

Random Matrix Theory Predictions for the Asymptotics of the Moments of the Riemann Zeta Function and Numerical Tests of the Predictions

H. Montgomery, 2006 .

Low moments of Dirichlet series

H. Montgomery, G. Tenenbaum, 2014, Acta Mathematica Hungarica.

The mean values of logarithms of algebraic integers

H. Montgomery, 2017 .

Distribution of irregular primes

H. Montgomery, 1965 .

Elementary Problems: E2743-E2748

David Hammer, Emil Grosswald, Peter Ungar, 1978 .

The combinatorics of moment calculations

H. Montgomery, 2010 .

A Heuristic for the Prime Number Theorem

S. Wagon, H. Montgomery, 2006 .

Products of polynomials in many variables

Enrico Bombieri, Per Enflo, Hugh L. Montgomery, 1990 .

Extreme values of the Riemann zeta function

H. Montgomery, 1977 .

Notes on small class numbers

H. Montgomery, P. Weinberger, 1974 .

Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals

H. Montgomery, D. Goldston, S. Gonek, 2001 .

THE ANALYTIC PRINCIPLE OF THE LARGE SIEVE BY HUGH L. MONTGOMERY

H. Montgomery, 2007 .

Kronecker’s approximation theorem

H. Montgomery, S. Gonek, 2016 .

Zeros ofL-functions

Hugh L. Montgomery, H. Montgomery, 1969 .

The exceptional set in Goldbach''s problem

R. C. Vaughan, H. L. Montgomery, H. Montgomery, 1975 .

Exploring the Riemann Zeta Function : 190 years from Riemann's Birth

H. Montgomery, A. Nikeghbali, M. Rassias, 2017 .

Pair Correlation of Zeros and Primes in Short Intervals

Hugh L. Montgomery, Daniel A. Goldston, H. Montgomery, 1987 .

The large sieve

H. Montgomery, R. Vaughan, 1973 .

Note on a Diophantine inequality in several variables

J. Vaaler, H. Montgomery, Jeffrey T. Barton, 2000 .

ON MULTIPLICATIVE COMPOSITIONS of INTEGERS

H. Montgomery, G. Tenenbaum, 2017 .

Equivalent formulations of the Riemann hypothesis based on lines of constant phase

Paul Abbott, Hugh L. Montgomery, Moochan B. Kim, 2018 .

Harmonic Analysis as found in Analytic Number Theory

H. Montgomery, 2001 .

Selberg's Work on the Zeta-Function

H. Montgomery, 1989 .

Algebraic integers near the unit circle

Hugh L. Montgomery, H. Montgomery, P. E. Blanksby, 1971 .

On zeros of $p$-adic forms.

Hugh L. Montgomery, D. Lewis, H. Montgomery, 1983 .

Primes in short intervals

H. Montgomery, K. Soundararajan, 2008 .

Low moments of Dirichlet series

H. Montgomery, G. Tenenbaum, 2014 .

The order of magnitude of the mth coefficients of cyclotomic polynomials

H. Montgomery, R. Vaughan, 1985, Glasgow Mathematical Journal.

Mean values of multiplicative functions

R. C. Vaughan, Hugh L. Montgomery, H. Montgomery, 2002, Period. Math. Hung..