The irreducibility of some level 1 Hecke polynomials

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Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group over Q for k 2000 and p < 2000, p prime.

D. W. Farmer, K. James

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Characteristic Polynomial | Cusp Forms | Hecke Operator Tp | MOC 2002 |

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Added	22 Dec 2010
Updated	22 Dec 2010
Type	Journal
Year	2002
Where	MOC
Authors	D. W. Farmer, K. James

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The irreducibility of some level 1 Hecke polynomials

Characteristic Polynomial | Cusp Forms | Hecke Operator Tp | MOC 2002 |

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