# Superscript in Generalized Riemann Zeta function notation?

**URL:** <https://community.wolfram.com/t/superscript-in-generalized-riemann-zeta-function-notation/19792>\
**Category:** Questions\
**Created:** [March 22, 2022, 5:02pm UTC](https://community.wolfram.com/t/superscript-in-generalized-riemann-zeta-function-notation/19792 "2022-03-22T17:02:47Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![aarondave1415](https://avatars.discourse-cdn.com/v4/letter/a/8edcca/32.png) [@aarondave1415](https://community.wolfram.com/u/aarondave1415)\
**Post date:** [March 22, 2022, 5:02pm UTC](https://community.wolfram.com/t/superscript-in-generalized-riemann-zeta-function-notation/19792/1 "2022-03-22T17:02:47Z")

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Can someone please tell me what the superscript (1,0) attached to the generalized Riemann Zeta function means? I have attached a notebook. Thanks.

[Open in Wolfram Cloud ↗](https://www.wolframcloud.com/obj/2be61be4-7982-4b6a-8ba3-915ed6165b0d)

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<div class="post-metadata">

**Author:** ![mariuszi28cg](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/mariuszi28cg/32/308_2.png) [@mariuszi28cg](https://community.wolfram.com/u/mariuszi28cg)\
**Post date:** [March 23, 2022, 4:41pm UTC](https://community.wolfram.com/t/superscript-in-generalized-riemann-zeta-function-notation/19792/2 "2022-03-23T16:41:49Z")

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It’s mean first derivative for first variable.

```
  \!\(\*SuperscriptBox[\(Zeta\), 
  TagBox[
  RowBox[{"(", 
  RowBox[{"1", ",", "0"}], ")"}],
  Derivative],
  MultilineFunction->None]\)[-2, 3/2] // InputForm

  (*Derivative[1, 0][Zeta][-2, 3/2]*)

```

You can write it like this:

```
  Limit[D[Zeta[x, 3/2], x], x -> -2]
  % // FunctionExpand

  (*-(Log[2]/4) + (3 Zeta[3])/(16 \[Pi]^2)*)

  %//N
  (*-0.15045*)

```