On the irreducibility of a truncated binomial expansion
Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it. Polynomials P_nk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak.
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Published: |
Rocky Mountain Mathematics Consortium
2007
|
| _version_ | 1797059499817697280 |
|---|---|
| author | Filaseta, M Kumchev, A Pasechnik, D |
| author_facet | Filaseta, M Kumchev, A Pasechnik, D |
| author_sort | Filaseta, M |
| collection | OXFORD |
| description | Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it. Polynomials P_nk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak. |
| first_indexed | 2024-03-06T20:05:08Z |
| format | Journal article |
| id | oxford-uuid:28aa8966-f92a-4ae1-818b-661a3ced8861 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:05:08Z |
| publishDate | 2007 |
| publisher | Rocky Mountain Mathematics Consortium |
| record_format | dspace |
| spelling | oxford-uuid:28aa8966-f92a-4ae1-818b-661a3ced88612022-03-26T12:14:17ZOn the irreducibility of a truncated binomial expansionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:28aa8966-f92a-4ae1-818b-661a3ced8861Symplectic Elements at OxfordRocky Mountain Mathematics Consortium2007Filaseta, MKumchev, APasechnik, DLet P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it. Polynomials P_nk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak. |
| spellingShingle | Filaseta, M Kumchev, A Pasechnik, D On the irreducibility of a truncated binomial expansion |
| title | On the irreducibility of a truncated binomial expansion |
| title_full | On the irreducibility of a truncated binomial expansion |
| title_fullStr | On the irreducibility of a truncated binomial expansion |
| title_full_unstemmed | On the irreducibility of a truncated binomial expansion |
| title_short | On the irreducibility of a truncated binomial expansion |
| title_sort | on the irreducibility of a truncated binomial expansion |
| work_keys_str_mv | AT filasetam ontheirreducibilityofatruncatedbinomialexpansion AT kumcheva ontheirreducibilityofatruncatedbinomialexpansion AT pasechnikd ontheirreducibilityofatruncatedbinomialexpansion |