A lemma about the Epstein zeta-function
1964 ◽
Vol 6
(4)
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pp. 198-201
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Keyword(s):
Let h (m, n) = αm2 + 2δmn + βn2 be a positive definite quadratic form with determinant αβ–δ2 = 1. It may be put in the shapewith y > 0. We write (for s > 1)The function Zn(s) may be analytically continued over the whole s-plane. Its only singularity is a simple pole with residue π at s = 1.
1973 ◽
Vol 14
(1)
◽
pp. 1-12
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1959 ◽
Vol 4
(2)
◽
pp. 73-80
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1964 ◽
Vol 60
(4)
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pp. 855-875
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Keyword(s):
1988 ◽
Vol 30
(1)
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pp. 75-85
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1935 ◽
Vol 54
◽
pp. 12-16
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1959 ◽
Vol 1
(1)
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pp. 47-63
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Keyword(s):
1956 ◽
Vol 8
◽
pp. 293-304
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1953 ◽
Vol 5
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pp. 384-392
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1966 ◽
Vol 62
(4)
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pp. 719-719
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