On the sum of k-th powers of the first n positive integers

• Main Authors: Malapascua, Jancheska Chyles Malilay, Alix, Arch Raphael Payang
• Format: text
• Language: English
• Published: Animo Repository 2023
• Subjects: Rings of integers; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etdb_math/31; https://animorepository.dlsu.edu.ph/context/etdb_math/article/1033/viewcontent/2023_Alix_Malapascua_On_the_sum_of_k_th_powers_of_the_first_n_positive_integers_Full_text.pdf
• Institution: De La Salle University

One of the many functions that has been widely studied and is of interest to mathematicians due to its historic applications is the sum of powers of positive integers. This paper is expository in nature and is based mainly on the article “On the sum of 𝑘th powers in terms of earlier sums” by Steven...