On higher-power moments of E(t)
On higher-power moments of Δ(x)
On higher-power moments of Δ(x) (II)
On higher-power moments of Δ(x) (III)
On hypergeometric-type generating relations associated with the generalized zeta function.
On Karatsuba Conjecture and the Lindelöf Hypothesis
On Kronecker's limit formula for Dirichlet series with periodic coefficients
On large values of the Riemann zeta-function on short segments of the critical line
We obtain a series of new conditional lower bounds for the modulus and the argument of the Riemann zeta function on very short segments of the critical line, based on the Riemann hypothesis. In particular, we prove that for any large fixed constant A > 1 there exist(non-effective) constants T₀(A) > 0 and c₀(A) > 0 such that the maximum of |ζ (0.5+it)| on the interval (T-h,T+h) is greater than A for any T > T₀ and h = (1/π)lnlnln{T}+c₀.
On L-Functions.
On limit distribution of the Riemann zeta-function
On Linnik's constant.
On Linnik's constant
On mean values of Dirichlet polynomials with real characters
On mean values of L-functions and short character sums with real characters
On mean values of some zeta-functions in the critical strip
For a fixed integer , and fixed we considerwhere is the error term in the above asymptotic formula. Hitherto the sharpest bounds for are derived in the range min . We also obtain new mean value results for the zeta-function of holomorphic cusp forms and the Rankin-Selberg series.
On mean values of the zeta-function, II
On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function}
On Mellin-Ramanujan expansions
On multiple higher Mahler measures and multiple L values
On multiple Hurwitz zeta-function values at rational arguments