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R. Zemba's works acquired great renown among students since they were an unusual amalgam of the dialectical approach common in Poland and the logical and penetrating method of the Lithuanian yeshivot. He published Zera Avraham (1920), responsa dialogue with R. Abraham Luftbehr (son-in-law of R. Meir Simhah ha-Kohen of Dvinsk); Toze'ot Hayyim (1921) on the Law of carrying on the Sabbath; Ozar ha-Sifri (1929), Ozar ha-Sifra (1960), and a number of articles which appear in various collections. The manuscripts of many other important works were lost in the Holocaust. Among these were Menahem Yerushalayim, on the Jerusalem Talmud; Mahazeh la-Melekh, on Maimonides; four volumes of responsa; and a volume of sermons and dialectics which he had prepared for press. R. Zemba's remains were reinterred in Jerusalem in 1958.