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According to Wikipedia , Adam Harper is a mathematician specialising in number theory, particularly in analytic, combinatorial and probabilistic number theory, and serving as Professor with University of Warwick, England. Harper was awarded the SASTRA Ramanujan Prize in 2019 "for several outstanding contributions to analytic and probabilistic number theory." This annual prize is awarded for outstanding contributions by individuals not exceeding the age of 32 in areas of mathematics influenced by Srinivasa Ramanujan. The age limit has been set at 32 because Ramanujan died at the age of 32 years.
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Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
2010 2020 0 50 100 150 200 250 300 350 400 450 500 550 Published Works Riemann's Zeta Function (2014) (472)Sharp conditional bounds for moments of the Riemann zeta function (2013) (81)Maxima of a randomized Riemann zeta function, and branching random walks (2015) Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function (2010) MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS (2017) A note on the maximum of the Riemann zeta function, and log-correlated random variables (2013) (36)A note on Helson's conjecture on moments of random multiplicative functions (2015) On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture (2019) (35)Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers (2012) (31)Pickands ’ constant Hα does not equal 1 / ( 1 / α ) , for small α (2016) (29)Moments of random multiplicative functions, II: High moments (2018) Two new proofs of the Erdös–Kac Theorem, with bound on the rate of convergence, by Stein's method for distributional approximations (2009) On the limit distributions of some sums of a random multiplicative function (2010) A new proof of Halász’s theorem, and its consequences (2017) On a paper of K. Soundararajan on smooth numbers in arithmetic progressions (2011) Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions (2016) Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers (2014) Mean values of multiplicative functions over function fields (2015) Almost sure large fluctuations of random multiplicative functions (2020) (15)Pickands' constant $H_{\alpha}$ does not equal $1/\Gamma(1/\alpha)$, for small $\alpha$ (2014) Inverse questions for the large sieve (2013) Additive decompositions of sets with restricted prime factors (2013) A more intuitive proof of a sharp version of Hal\'asz's theorem (2017) Orderings of weakly correlated random variables, and prime number races with many contestants (2015) Extreme biases in prime number races with many contestants (2017) The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwi\l\l, and Soundararajan] (2019) (5)Exposé Bourbaki 1161 : The Riemann zeta function in short intervals after Najnudel, and Arguin, Belius, Bourgade, Radziwiłł, and Soundararajan (2020) On finding many solutions to S-unit equations by solving linear equations on average (2011) (3)A note on character sums over short moving intervals (2022) (3)A version of Baker ’ s theorem on linear forms in logarithms (2012) (1)LECTURE NOTES 0 FOR CAMBRIDGE PART III COURSE ON “ELEMENTARY METHODS IN ANALYTIC NUMBER THEORY”, LENT 2015 (2015) (1)Orderings of weakly correlated random variables, and prime number races with many contestants (2017) LECTURE NOTES 0 FOR CAMBRIDGE PART III COURSE ON “PROBABILISTIC NUMBER THEORY”, MICHAELMAS 2015 (2015) (0)EXAMPLE SHEET 1 FOR CAMBRIDGE PART III COURSE ON “ELEMENTARY METHODS IN ANALYTIC NUMBER THEORY”, LENT 2015 (2015) (0)Some topics in analytic and probabilistic number theory (2012) The typical size of character and zeta sums is $o(\sqrt{x})$ (2023) (0)LECTURE NOTES 1 FOR CAMBRIDGE PART III COURSE ON \THE RIEMANN ZETA FUNCTION", LENT 2014 (2014) (0)FOR CAMBRIDGE PART III COURSE ON “ THE RIEMANN ZETA FUNCTION (2014) (0)3 FOR CAMBRIDGE PART III COURSE ON “ PROBABILISTIC NUMBER THEORY ” , MICHAELMAS 2015 (2016) (0)1 FOR CAMBRIDGE PART III COURSE ON “ THE RIEMANN ZETA FUNCTION (2014) (0)2 FOR CAMBRIDGE PART III COURSE ON “ THE RIEMANN ZETA FUNCTION ” , LENT 2014 (2014) (0)Inverse questions for the large sieve (2014) Extreme biases in prime number races with many contestants (2019) Mean values of multiplicative functions over function fields (2015) More Papers This paper list is powered by the following services:
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