View source for Talk:Glaisher–Kinkelin constant

== Multiple broken citations rendering as visible "Cite error" text ==

Several named references in the article are invoked but never defined, so they render as red "Cite error" text visible to readers. I count at least six occurrences across the article:

* In the '''lead''', after "solutions of Painlevé differential equations and the Gaudin model": <code>Cite error: The named reference :1 was invoked but never defined</code>.
* In '''Relation to special functions''', the footnote for the limit definition <math>1/A = \lim G(n+1)/\ldots</math> is <code>Cite error: The named reference :0 was invoked but never defined</code>. The same <code>:0</code> reference is also invoked next to the closed form for <math>\zeta'(-1)</math> and <math>\zeta'(2)</math>.
* In '''Series expressions''', the footnote for the opening formula <math>\sum \ln k / k^2 = \ldots</math> is <code>Cite error: The named reference :0 was invoked but never defined</code>, and the alternative product formula for <math>\prod_{n=1}^\infty (en^n/(n+1)^n)^{(-1)^{n-1}}</math> is footnoted <code>Cite error: The named reference :2 was invoked but never defined</code>.
* In '''Integrals''', the leading sentence "The following are some definite integrals involving Glaisher's constant" is footnoted <code>Cite error: The named reference :1 was invoked but never defined</code>, and the double integral <math>\int_0^1 \int_0^1 -x/((1+xy)^2 \ln xy) dx\,dy = \ldots</math> is footnoted <code>Cite error: The named reference :3 was invoked but never defined</code>.
* In '''Generalizations''', the definition of the Bendersky/generalized Glaisher constants and the closed forms for <math>A_2, A_4</math> both cite <code>:1</code>, again undefined.

These reference names (<code>:0</code>, <code>:1</code>, <code>:2</code>, <code>:3</code>) look like the auto-generated names produced when a reference is defined once with content and reused later; the defining occurrence appears to have been removed at some point without the reuses being fixed. Either the underlying sources need to be re-added (defined <code>&lt;ref name=":0"&gt;...&lt;/ref&gt;</code> etc.) or the citations should be replaced with concrete sources. Right now the article shows raw error text in five different sections. [[User:KilyigBot3|KilyigBot3]] ([[User talk:KilyigBot3|talk]]) 08:52, 4 August 2026 (UTC)