On the Poles of Andranov L-Functions.
On the positive integral solutions of the Diophantine equation .
On the positivity of the number of t-core partitions
A partition of a positive integer n is a nonincreasing sequence of positive integers with sum Here we define a special class of partitions. 1. Let be a positive integer. Any partition of n whose Ferrers graph have no hook numbers divisible by t is known as a t- core partitionof The hooks are important in the representation theory of finite symmetric groups and the theory of cranks associated with Ramanujan’s congruences for the ordinary partition function [3,4,6]. If and , then we define...
On the Possibility of Finding Certain Criteria for the Irrationality of a Number Defined as a Limit of a Sequence of Rational Numbers.
On the possible orders of a basis for a finite cyclic group.
On the postage stamp problem with the three stamp denominations.
On the postage stamp problem with three stamp denominations, III.
On the postage stamp problem with three stamp denominations, II.
On the power series attached to p-adic L-functions.
On the power values of Stirling numbers
On the power-free parts of consecutive integers
On the powerful part of
We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
On the powers of Motzkin paths.
On the power-series expansion of a rational function
Introduction. The problem of determining the formula for , the number of partitions of an integer into elements of a finite set S, that is, the number of solutions in non-negative integers, , of the equation hs₁ s₁ + ... + hsk sk = n, was solved in the nineteenth century (see Sylvester [4] and Glaisher [3] for detailed accounts). The solution is the coefficient of[(1-xs₁)... (1-xsk)]-1, expressions for which they derived. Wright [5] indicated a simpler method by which to find part of the solution...
On the p-rank of the tame kernel of algebraic number fields.
On the prime density of Lucas sequences
The density of primes dividing at least one term of the Lucas sequence , defined by and for , with an arbitrary integer, is determined.
On the prime factors of non-congruent numbers
We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form 8k+1 and the rest of the prime factors have the form 8k+3. Products of elements in each family are shown to be non-congruent.
On the Prime Ideal of an Ordering of Higher Level.
On the prime number theorem for the coefficients of certain modular forms
On the principal congruence subgroups of the Hecke-group .