A conditional density theorem for the zeros of the Riemann zeta-function
A family of deformations of the Riemann xi-function
We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.
A family of K3 surfaces and ... (3).
A further note on the P.N.T. error term
A generalization of Atkinson's formula to L-functions
A generalized square of the zeta function. The spectral decomposition.
A Joint Universality Theorem for Dirichlet L-Functions.
A limit theorem for the Riemann zeta-function in the complex space
A limit theorem for the Riemann zeta-function near the critical line in the complex space
A lower bound for the zeros of Riemann's zeta function on the critical line
A new irrationality measure for ζ(3)
A note on a formula of van der Pol
A note on arithmetic Diophantine series
We consider an asymptotic analysis for series related to the work of Hardy and Littlewood (1923) on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH. To accomplish this, Mellin inversion is applied to certain infinite series over arithmetic functions to apply Cauchy's residue theorem, and then the remainder of terms is estimated according to the assumption of the RH. In the last section, we use simple properties...
A note on colored Tornheim's double series.
A Note on Moments of Zeta'(1/2+i Gamma)
A note on moments of .
A note on the fourth moment of Dirichlet L-functions
A Note on the Hurwitz Zeta Function
A note on the zeros of the derivative of the Riemann zeta function near the critical line
A prime number theorem in the theory of the Riemann zeta function.