Mentioning adverbs are provided in this article. The words listed here are commonly found along with the verb mentioning in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb MENTIONING.
barely, briefly
casually, directly
especially, explicitly
expressly, merely
particularly, simply
specifically
Hope this word list had the mentioning adverb you were looking for. In addition to adverbs used with mentioning, other example verb adverb pairings can be found on this site.
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