Add to ORKGWhen is the average of sums of powers of integers itself a sum of the first n integers raised to a power? We provide all solutions when averaging two sums, and provide some conditions regarding when larger averages may have solutions
When we have two estimates of the same quantity, it is desirable to combine them into a single more ...
We continue our work on averages for ternary additive problems with powers of prime numbers in Langu...
Abstract. We investigate power values of sums of products of consecutive integers. We give general f...
As an application of Faulhaber’s theorem on sums of powers of integers and the associated Faulhaber...
20 pagesFreiman and Scourfield proved that any large enough integer can be written as a sum of a cer...
This thesis is an exposition on some attributes of the sums of powers of the first n positive intege...
We continue our investigations on the average number of representations of a large positive integer ...
A number of sequences based on sums of powers of integers is pre-sented. This approach provides a si...
In this paper we extend and improve our results on weighted averages for the number of representatio...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
A mathematical paper detailing an averaging method to establish dominance by the Root-Mean-Square of...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
AbstractWe study certain sequences involving sums of powers of positive integers and in connection w...
Includes bibliographical references.After discovering that a pattern existed in the sums of the digi...
When we have two estimates of the same quantity, it is desirable to combine them into a single more ...
We continue our work on averages for ternary additive problems with powers of prime numbers in Langu...
Abstract. We investigate power values of sums of products of consecutive integers. We give general f...
As an application of Faulhaber’s theorem on sums of powers of integers and the associated Faulhaber...
20 pagesFreiman and Scourfield proved that any large enough integer can be written as a sum of a cer...
This thesis is an exposition on some attributes of the sums of powers of the first n positive intege...
We continue our investigations on the average number of representations of a large positive integer ...
A number of sequences based on sums of powers of integers is pre-sented. This approach provides a si...
In this paper we extend and improve our results on weighted averages for the number of representatio...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
A mathematical paper detailing an averaging method to establish dominance by the Root-Mean-Square of...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
AbstractWe study certain sequences involving sums of powers of positive integers and in connection w...
Includes bibliographical references.After discovering that a pattern existed in the sums of the digi...
When we have two estimates of the same quantity, it is desirable to combine them into a single more ...
We continue our work on averages for ternary additive problems with powers of prime numbers in Langu...
Abstract. We investigate power values of sums of products of consecutive integers. We give general f...