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Vesicovaginal fistula is a urinary complication occurred after gynecologic pelvic surgery or birth trauma. For its uncontrollable leakage, it has influence on patient’s quality of life seriously; and the clinical treatment is very difficult. Now in our hospital, 1 case was complicated with vesicovaginal fistula after laparoscopic hysterectomy so that we analyzed and learned from the etiology, diagnosis, treatment and lessons.
In this paper we generalize K. Alladi’s duality formula between prime factors to number theoretic functions valued in any commutative ring with identity, and deduce several other kind of duality formulae.