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
On prime primitive roots
On q-orders in primitive modular groups
We prove an upper bound for the number of primes p ≤ x in an arithmetic progression 1 (mod Q) that are exceptional in the sense that has no generator in the interval [1,B]. As a consequence we prove that if with a sufficiently large absolute constant c, then there exists a prime q dividing Q such that for some positive integer b ≤ B. Moreover we estimate the number of such q’s under suitable conditions.
On Ramanujan's formula for values of Riemann zeta-function at positive odd integers
On Riemann's Zeta Function.
On sign-changes in the remainder-term of the prime-number formula, III
On some combinatorial relations for Tornheim's double series
On some conjectures and results for the Riemann zeta-function and Hecke series
On Some Integrals Involving the Mean Square Formula for the Riemann Zeta-function