Akshaa Vatwani

We consider L-functions L 1, . . . , L k from the Selberg class having polynomial Euler product and satisfying Selberg’s orthonormality condition. We show that on every vertical line s = σ+it in the complex plane with σ ∈ (1/2, 1), these L-functions...

It is well known that the prime numbers are equidistributed in arithmetic progression. Such a phenomenon is also observed more generally for a class of multiplicative functions. We derive some variants of such results and give an application to...