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In mathematics, the '''Herglotz–Zagier function''', named after [[Gustav Herglotz]] and [[Don Zagier]], is the function
 
:<math>F(x)= \sum^{\infty}_{n=1} \left\{\frac{\Gamma^{\prime}(nx)}{\Gamma (nx)} -\log (nx)\right\} \frac{1}{n}.</math>
 
introduced by {{harvtxt|Zagier|1975}} who used it to obtain a [[Kronecker limit formula]] for [[real quadratic field]]s.
 
==References==
*{{citation|first=G. |last=Herglotz | authorlink=Gustav Herglotz| journal=Berichte über die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse<!-- "Reports on the Proceedings of the Royal Saxon Association of Sciences at Leipzig, Mathematical-Physical Classification" --> |volume= 75 |year=1923|pages= 3–14}}
*{{Citation | last1=Masri | first1=Riad | title=The Herglotz–Zagier function, double zeta functions, and values of L-series | doi=10.1016/j.jnt.2004.01.004 | mr=2059072 | year=2004 | journal=[[Journal of Number Theory]] | issn=0022-314X | volume=106 | issue=2 | pages=219–237}}
*{{Citation | last1=Zagier | first1=Don | authorlink=Don Zagier| title=A Kronecker limit formula for real quadratic fields | doi=10.1007/BF01343950 | mr=0366877 | year=1975 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=213 | pages=153–184}}
 
{{DEFAULTSORT:Herglotz-Zagier function}}
[[Category:Special functions]]

Revision as of 14:48, 15 December 2013

In mathematics, the Herglotz–Zagier function, named after Gustav Herglotz and Don Zagier, is the function

F(x)=n=1{Γ(nx)Γ(nx)log(nx)}1n.

introduced by Template:Harvtxt who used it to obtain a Kronecker limit formula for real quadratic fields.

References

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    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

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    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

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    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

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