On Maass Wave Forms and the Imaginary Quadratic Doi Â? Naganuma Lifting.
On Manin's conditional algorithm
On Manin's conjecture for a certain singular cubic surface
On Marsaglia's Lattice test for pseudorandom numbers.
On Maslanka's representation for the Riemann zeta function.
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 Measures of Uniformly Distributed Sequences and Benford's Law.
On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function}
On Mellin-Ramanujan expansions
On metacyclic extensions
Galois extensions with various metacyclic Galois groups are constructed by means of a Kummer theory arising from an isogeny of certain algebraic tori. In particular, our method enables us to construct algebraic tori parameterizing metacyclic extensions.
On metric diophantine approximation and subsequence ergodic theory.
On metric Diophantine approximation in positive characteristic
On metric diophantine approximation of complex numbers, complex continued fractions
On metric theorems in the theory of uniform distribution
On metric theory of Diophantine approximation for complex numbers
In 1941, R. J. Duffin and A. C. Schaeffer conjectured that for the inequality |α - m/n| < ψ(n)/n with g.c.d.(m,n) = 1, there are infinitely many solutions in positive integers m and n for almost all α ∈ ℝ if and only if . As one of partial results, in 1978, J. D. Vaaler proved this conjecture under the additional condition . In this paper, we discuss the metric theory of Diophantine approximation over the imaginary quadratic field ℚ(√d) with a square-free integer d < 0, and show that a Vaaler...
On metrical theory of diophantine approximation over imaginary quadratic field
On minimal solutions of Diophantine equations.