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When adding integers in base $m$, carries occur. The same happens modulo ageneric integer $q$ when the set of digits is a complete set of residues modulo$m$ for some positive integer $m$ dividing $q$. In this paper we prove thatasymptotically every digital set in this setting induces carries with frequencyat least $1/4$, thus generalizing results of Alon, Diaconis, Shao andSoundararajan.

Minimizing the frequency of carries in modular addition