21 citations · 26 across the 8 of their papers we have counts for
13 papers · 1 filter
Simultaneous extreme values of zeta and L-functions
Winston Heap, Junxian Li
We show that distinct primitive L-functions can achieve extreme values simultaneously on the critical line. Our proof uses a modification of the resonance method and can be applied…
Conditional mean values of long Dirichlet polynomials
Winston Heap
Conditionally on the Riemann hypothesis we prove asymptotic formulae for mean values of various long Dirichlet polynomials involving the von Mangoldt function. Our results avoid th…
A paucity problem associated with a shifted integer analogue of the divisor function
Winston Heap, Anurag Sahay, Trevor D. Wooley
Suppose that is irrational. Then almost all elements that may be written as a -fold product of the shifted integers are thus…
On the splitting conjecture in the hybrid model for the Riemann zeta function
Winston Heap
We show that the splitting conjecture in the hybrid model of Gonek--Hughes--Keating holds to order on the Riemann hypothesis. Our results are valid in a larger range of the paramet…
Lower bounds for moments of zeta and -functions revisited
Winston Heap, K. Soundararajan
This paper describes a method to compute lower bounds for moments of and -functions. The method is illustrated in the case of moments of , where the result…
Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function
Marco Aymone, Winston Heap, Jing Zhao
We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a model for the Riemann zeta function. We give a description of the tails and high…