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Mar 20, 2018 at 9:44 comment added Henri Cohen If I remember correctly, Pierrette Cassou-Nogues has several papers on the subject.
Mar 19, 2018 at 22:19 history edited user39115 CC BY-SA 3.0
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Mar 19, 2018 at 20:26 comment added user39115 You are right, I corrected the question. This is part of the problem... I do not know if it extends meromorphically to the left of 1/k... It should be always the case I believe.
Mar 19, 2018 at 20:20 history edited user39115 CC BY-SA 3.0
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Mar 17, 2018 at 18:50 comment added A Stasinski For the first question to make sense, you need to know that $Z(s)$ extends meromorphically to the left of $1/k$. How do you know this? When all $P_i$s are equal, it is known, but in general?
Mar 16, 2018 at 19:49 history edited user39115 CC BY-SA 3.0
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Mar 16, 2018 at 19:48 comment added user39115 I intended the absolute value. If they are not uniformly bounded the result should fail.
Mar 16, 2018 at 19:34 comment added GH from MO What is $\|\delta_j^i\|$, i.e. what is the symbol $\|\cdot\|$?
Mar 16, 2018 at 18:25 history edited user39115 CC BY-SA 3.0
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Mar 16, 2018 at 18:14 comment added Greg Martin "holomorphic for Re$(s) > 1/k$ with possible poles at $1,0,-1,\dots$" doesn't make sense: if a pole at $s=1$ is possible then it could be meromorphic but not holomorphic; and talking about poles at $0,-1,\dots$ isn't reasonable if the function isn't even defined there. Please clarify.
Mar 16, 2018 at 17:58 history edited user39115 CC BY-SA 3.0
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Mar 16, 2018 at 16:13 history edited user39115 CC BY-SA 3.0
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Mar 16, 2018 at 15:53 history asked user39115 CC BY-SA 3.0