On the number of representations of n by ax²+by(y-1)/2, ax²+by(3y-1)/2 and ax(x-1)/2+by(3y-1)/2
On the number of representations of positive integers by a direct sum of binary quadratic forms with discriminant .
On the number of representations of positive integers by quadratic forms as the basis of the space .
On the number of representations of positive integers by the quadratic form .
On the number of semigroups of natural numbers.
On the number of sign changes in the remainder-term of the prime-ideal theorem
On the Number of S-Integral Solutions to Ym = f(x).
On the number of solutions of a congruence in GF[q,x]
On the number of solutions of congruences and equations in
On the number of solutions of decomposable polynomial equations
On the number of solutions of exponential congruences
On the number of solutions of f(n) = a for additive functions
On the number of solutions of linear equations in units of an algebraic number field.
On the number of solutions of N - p = Pr.
On the Number of Solutions of p + h = Pr.
On the number of solutions of simultaneous Pell equations
On the number of solutions of simultaneous Pell equations II
On the number of solutions of the generalized Ramanujan-Nagell equation
On the number of square classes of a field of finite level.
On the number of subgroups of finite abelian groups
Letwhere denotes the number of subgroups of all abelian groups whose order does not exceed and whose rank does not exceed , and is the error term. It is proved that