Some properties of sums of powers of integers
This thesis is an exposition on some attributes of the sums of powers of the first n positive integers: sk(n)=n i=1. Its central feature consists of the statement of three important theorems about these sums and their proofs provided in detail. Some consequences of these theorems are likewise given...
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1997
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oai:animorepository.dlsu.edu.ph:etd_bachelors-168552022-02-09T03:19:07Z Some properties of sums of powers of integers Escano, Ron Nino V. Gervacio, Annie Grace S. This thesis is an exposition on some attributes of the sums of powers of the first n positive integers: sk(n)=n i=1. Its central feature consists of the statement of three important theorems about these sums and their proofs provided in detail. Some consequences of these theorems are likewise given including derivations of identities relating any two of the sums. There is also a discussion about the derivations of sums of small powers using the Pascal triangle. 1997-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16342 Bachelor's Theses English Animo Repository Rings of integers Polynomials Combinations Binomial coefficients Induction (Mathematics) |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Rings of integers Polynomials Combinations Binomial coefficients Induction (Mathematics) |
| spellingShingle |
Rings of integers Polynomials Combinations Binomial coefficients Induction (Mathematics) Escano, Ron Nino V. Gervacio, Annie Grace S. Some properties of sums of powers of integers |
| description |
This thesis is an exposition on some attributes of the sums of powers of the first n positive integers: sk(n)=n i=1. Its central feature consists of the statement of three important theorems about these sums and their proofs provided in detail. Some consequences of these theorems are likewise given including derivations of identities relating any two of the sums. There is also a discussion about the derivations of sums of small powers using the Pascal triangle. |
| format |
text |
| author |
Escano, Ron Nino V. Gervacio, Annie Grace S. |
| author_facet |
Escano, Ron Nino V. Gervacio, Annie Grace S. |
| author_sort |
Escano, Ron Nino V. |
| title |
Some properties of sums of powers of integers |
| title_short |
Some properties of sums of powers of integers |
| title_full |
Some properties of sums of powers of integers |
| title_fullStr |
Some properties of sums of powers of integers |
| title_full_unstemmed |
Some properties of sums of powers of integers |
| title_sort |
some properties of sums of powers of integers |
| publisher |
Animo Repository |
| publishDate |
1997 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16342 |
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1772834962538496000 |