132 citations · 469 across the 54 of their papers we have counts for
6 papers · 1 filter
The mean square of the product of with Dirichlet polynomials
Sandro Bettin, Vorrapan Chandee, Maksym Radziwill
Improving earlier work of Balasubramanian, Conrey and Heath-Brown, we obtain an asymptotic formula for the mean-square of the Riemann zeta-function times an arbitrary Dirichlet pol…
Refinements of Gál's theorem and applications
Mark Lewko, Maksym Radziwill
We give a simple proof of a well-known theorem of Gál and of the recent related results of Aistleitner, Berkes and Seip [1] regarding the size of GCD sums. In fact, our method obta…
Counting arithmetic formulas
Edinah K. Gnang, Maksym Radziwill, Carlo Sanna
An arithmetic formula is an expression involving only the constant , and the binary operations of addition and multiplication, with multiplication by not allowed. We obtain…
Sign changes of Hecke eigenvalues
Kaisa Matomäki, Maksym Radziwill
Let be a holomorphic or Maass Hecke cusp form for the full modular group and write for the corresponding Hecke eigenvalues. We are interested in the signs of those eig…
Moments and distribution of central L-values of quadratic twists of elliptic curves
Maksym Radziwill, Kannan Soundararajan
We show that if one can compute a little more than a particular moment for some family of L-functions, then one has upper bounds of the conjectured order of magnitude for all small…
Discrepancy bounds for the distribution of the Riemann zeta-function and applications
Youness Lamzouri, Stephen Lester, Maksym Radziwill
We investigate the distribution of the Riemann zeta-function on the line . For we obtain an upper bound on the discrepancy between the distribution o…