Eta-products which are simultaneous eigenforms of Hecke operators
1993 ◽
Vol 35
(3)
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pp. 307-323
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Keyword(s):
The Dedekind eta-function is defined for any τ in the upper half-plane bywhere x = exp(2πiτ) and x1/24 = exp(2πiτ/24). By an eta-product we shall mean a functionwhere N ≥ 1 and eachrδ ∈ ℤ. In addition, we shall always assume that is an integer. Using the Legendre-Jacobi symbol (—), we define a Dirichlet character ∈ bywhen a is odd. If p is a prime for which ∈(p) ≠ 0and if F is a function with a Fourier seriesthen we define a Hecke operator Tp bywhereand
1984 ◽
Vol 25
(1)
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pp. 107-119
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Keyword(s):
2019 ◽
Vol 150
(3)
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pp. 1095-1112
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Keyword(s):
1999 ◽
Vol 42
(2)
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pp. 217-224
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Keyword(s):
1979 ◽
Vol 31
(5)
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pp. 1107-1120
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1982 ◽
Vol 34
(5)
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pp. 1183-1194
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Keyword(s):
1987 ◽
Vol 39
(6)
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pp. 1434-1445
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2001 ◽
Vol 44
(3)
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pp. 282-291
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Keyword(s):
1981 ◽
Vol 22
(2)
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pp. 185-197
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