Might mean (unverified): Valued fields with formal series.
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We found 2 dictionaries that define the word Hahn series:

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  1. Hahn series: Wiktionary
  2. Hahn series: Wikipedia, the Free Encyclopedia

Definitions from Wiktionary (Hahn series)

noun:  (mathematics) A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group.

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