9 citations · 9 across the 3 of their papers we have counts for
5 papers · 1 filter
Extreme values of zeta and L-functions
K. Soundararajan
We introduce a "resonance" method to produce large values of and large and small central values of -functions.
Multiplicative functions in arithmetic progressions
Antal Balog, Andrew Granville, K. Soundararajan
We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…
The fourth moment of Dirichlet -functions
K. Soundararajan
Extending a result of Heath-Brown, we establish an asymptotic formula for the fourth moment of central values of Dirichlet -functions attached to primitive characters .
An uncertainty principle for arithmetic sequences
Andrew Granville, K. Soundararajan
Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are ``well-distributed'' in some appropriate sense. In various discrepancy proble…
Strong multiplicity one for the Selberg class
Kannan Soundararajan
In this note we investigate the problem of determining elements of the Selberg class from their Dirichlet series coefficients at the primes. We show that this is possible when the…