In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.
The main purpose of this paper is to study this problem, and use the elementary method and some new inequalities to give two interesting identities for (1) with (s=2) and 3.
In this paper, we use the elementary method and some new inequalities to study the computational problem of one kind of reciprocal sums related to the Riemann zeta-function at the integer point (sgeq2), and for the special values (s=2, 3), we give two exact identities for the integer part of the reciprocal sums of the Riemann zeta-function.
In this paper, we use the elementary method and the reciprocity theorem of Dedekind sums to study the computational problem of one kind Dedekind sums, and give two interesting computational formulae related to Dedekind sums and the second-order linear recurrence polynomials.
In this paper, we use the elementary method and the reciprocity theorem of Dedekind sums to study the computational problem of one kind Dedekind sums, and obtain some interesting identities related to Dedekind sums and the second-order linear recurrence polynomials.
The main purpose of this paper is using the elementary methods and the properties of Gauss sums to give a sharp estimate for some character sums.
The main purpose of this paper is, using the elementary method and the properties of the third-order linear recurrence sequence, to unify the above results by proving the following theorem.
The main purpose of this paper is using the elementary method and the properties of the second-order linear recurrence sequence to study these problems and to prove a generalized conclusion.
In this paper, we shall use the elementary and combination methods to study the arithmetical properties of Lucas polynomials, and give some new identities for them.
Use the elementary chain theorem to find an elementary extension of A that sits on top of this chain.
