On the pair correlation conjecture for zeros of the Riemann zeta-function.
On the papers of Ramachandra and Kátai
On the parity of generalized partition functions, III
Improving on some results of J.-L. Nicolas [15], the elements of the set , for which the partition function (i.e. the number of partitions of with parts in ) is even for all are determined. An asymptotic estimate to the counting function of this set is also given.
On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
On the parity of p(n)
On the parity of ranks of Selmer groups. III.
On the parity of the class number of the field
On the parity of the class numbers of real abelian fields
On the parity of the number of lattice points in certain tetrahedra.
On the parity of the number of multiplicative partitions
On the Partial Fraction Expansion for 0 (x).
On the partitions of a number into arithmetic progressions.
On the Pellian equation and the class number of indefinite binary quadratic forms.
On the period length of some special continued fractions
We investigate and refine a device which we introduced in [3] for the study of continued fractions. This allows us to more easily compute the period lengths of certain continued fractions and it can be used to suggest some aspects of the cycle structure (see [1]) within the period of certain continued fractions related to underlying real quadratic fields.
On the period of sequences in .
On the period of the continued fraction for values of the square root of power sums
On the periodicity of trigonometric functions generalized to quotient rings of R[x]
We apply a method of Euler to algebraic extensions of sets of numbers with compound additive inverse which can be seen as quotient rings of R[x]. This allows us to evaluate a generalization of Riemann’s zeta function in terms of the period of a function which generalizes the function sin z. It follows that the functions generalizing the trigonometric functions on these sets of numbers are not periodic.
On the Periods of Abelian Integrals and a Formula of Chowla and Selberg.
On the Periods of Modular Forms.
On the periods of the linear congruential and power generators