A closer look at lattice points in rational simplices.
A closer look at some new identities.
A further omega result for the ellipsoid problem in algebraic number fields
A generalization of the classical circle problem
A lattice point problem associated with two polynomials
A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II
This article is concerned with estimations from below for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds. Concentrating on the case of odd ℓ, it continues the work done in part I [21] which dealt with even ℓ.
A mean value theorem on differences of two k-th powers of numbers in residue classes.
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
A new class of infinite products, and Euler's totient.
A non-convex generalization of the circle problem.
A note on Farey fractions with denominators in arithmetic progressions
A sharp estimate of the number of integral points in a 4-dimensional tetrahedra.
A sharp estimate of the number of integral points in a tetrahedron.
A third derivative test for mean values of exponential sums with application to lattice point problems
A uniform version of Jarník's theorem
An average formula for the class number
An Omega theorem on differences of two squares.
An -estimate for the number of lattice points in a sphere
Another Computation of .... .
Approximation of Lebesgue Integrals by Riemann Sums and Lattice Points in Domains with Fractal Boundary.