25 citations · 72 across the 5 of their papers we have counts for
5 papers
The fourth moment of individual Dirichlet L-functions on the critical line
Berke Topacogullari
We prove an asymptotic formula for the second moment of a product of two Dirichlet L-functions on the critical line, which has a power saving in the error term and which is uniform…
Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions
Sary Drappeau, Berke Topacogullari
Given a multiplicative function which is periodic over the primes, we obtain a full asymptotic expansion for the shifted convolution sum , where…
The shifted convolution of generalized divisor functions
Berke Topacogullari
We prove an asymptotic formula for the shifted convolution of the divisor functions and with , which is uniform in the shift parameter and which has a pow…
On a certain additive divisor problem
Berke Topacogullari
We prove an asymptotic formula for a variant of the binary additive divisor problem with linear factors in the arguments, which has a power saving error term and which is uniform i…
The Shifted Convolution of Divisor Functions
Berke Topacogullari
We prove an asymptotic formula for the shifted convolution of the divisor functions and , which is uniform in the shift parameter and which has a power-saving error…