# The Library

### Browse by Warwick Author

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**10**.## 2019

Ford, Kevin, Harper, Adam and Lamzouri, Youness
(2019)
*Extreme biases in prime number races with many contestants.*
Mathematische Annalen
.
doi:10.1007/s00208-019-01810-x
(In Press)

Granville, Andrew, Harper, Adam and Soundararajan, K.
(2019)
*A new proof of Halász’s theorem, and its consequences.*
Compositio Mathematica, 155
(1).
pp. 126-163.
doi:10.1112/S0010437X18007522

Harper, Adam J.
(2019)
*Moments of random multiplicative functions, I : low moments, better than squareroot cancellation, and critical multiplicative chaos.*
Forum of Mathematics, Pi
.
(In Press)

Harper, Adam J.
(2019)
*Moments of random multiplicative functions, II : high moments.*
Algebra and Number Theory
.

## 2018

Granville, Andrew, Harper, Adam and Soundararajan, Kannan
(2018)
*A more intuitive proof of a sharp version of Halász's theorem.*
Proceedings of the American Mathematical Society, 146
.
4099-4104 .
doi:10.1090/proc/14095

Harper, Adam and Lamzouri, Youness
(2018)
*Orderings of weakly correlated random variables, and prime number races with many contestants.*
Probability Theory and Related Fields, 170
(3-4).
pp. 961-1010.
doi:10.1007/s00440-017-0800-2

## 2016

Harper, Adam
(2016)
*Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers.*
Compositio Mathematica, 152
(6).
pp. 1121-1158.
doi:10.1112/S0010437X15007782

## 2015

Elsholtz, Christian and Harper, Adam J.
(2015)
*Additive decompositions of sets with restricted prime factors.*
Transactions of the American Mathematical Society, 367
(10).
pp. 7403-7427.
doi:10.1090/S0002-9947-2014-06384-8

Harper, Adam J., Nikeghbali, Ashkan and Radziwiłł, Maksym
(2015)
*A note on Helson’s conjecture on moments of random multiplicative functions.*
Analytic Number Theory
.
pp. 145-169.
doi:10.1007/978-3-319-22240-0_11

## 2014

Green, Ben and Harper, Adam
(2014)
*Inverse questions for the large sieve.*
Geometric and Functional Analysis, 24
(4).
pp. 1167-1203.
doi:10.1007/s00039-014-0288-1

This list was generated on

**Sat Dec 14 08:49:57 2019 GMT**.