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
On the permutations generated by cyclic shift.
On the Petersson norm of a Siegel-Hecke Eigenform of degree two in the Maass space.
On the Piatetski-Shapiro-Vinogradov Theorem
On the Piatetski-Shapiro-Vinogradov theorem
In this paper we consider the asymptotic formula for the number of the solutions of the equation where is an odd integer and the unknowns are prime numbers of the form . We use the two-dimensional van der Corput’s method to prove it under less restrictive conditions than before. In the most interesting case our theorem implies that every sufficiently large odd integer may be written as the sum of three Piatetski-Shapiro primes of type for < < .
On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic K3-Surfaces.
On the Piltz divisor problem in algebraic number fields
On the Poincaré series associated to the p-adic points on a curve
On the Poincaré series for diagonal forms over algebraic number fields