The term for omitting conjunctions between clauses, as in "I came, I saw, I conquered," is asyndeton. The device removes expected connecting words such as "and" or "but," giving a sentence a brisk, compressed, and often emphatic rhythm.
The example is a translation of the Latin phrase "veni, vidi, vici," traditionally associated with Julius Caesar's report of his rapid victory at the Battle of Zela in 47 BCE. Because each clause arrives without a conjunction, the sequence feels immediate and unstoppable. Writers and speakers use asyndeton to speed up pacing, sharpen contrast, or make a list more memorable.
Asyndeton is a rhetorical and literary device, but grammar also uses the related term "asyndetic coordination" for coordinated words or clauses without a coordinating conjunction. The device can appear in prose, poetry, speeches, advertising, and headlines.
It is commonly confused with polysyndeton, which deliberately repeats conjunctions, as in "and this, and that, and the other." Ellipsis means leaving out understood words, while anaphora repeats a word or phrase at the beginnings of successive clauses. Those devices may appear alongside asyndeton, but they are not synonyms.