EULER PRODUCT EXPRESSION OF TRIPLE ZETA FUNCTIONS
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We construct multiple zeta functions considered as absolute tensor products of usual zeta functions. We establish Euler product expressions for triple zeta functions [Formula: see text] with p, q, r distinct primes, via multiple sine functions by using the signatured Poisson summation formula. We also establish Euler product expressions for triple zeta functions [Formula: see text] with a prime p, via the theory of multiple sine functions.
2004 ◽
Vol 140
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pp. 1176-1190
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1961 ◽
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pp. 133-138
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1980 ◽
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pp. 1901-1901
2000 ◽
Vol 61
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pp. 36-50
1997 ◽
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pp. 81-92
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1979 ◽
Vol 32
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pp. 204-232
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