Multiplicative functions of polynomial values in short intervals

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1. [1] F. Delmer, Sur la somme de diviseurs ${\sum }_{k\le x}{d\left[f\right(k\left)\right]}^s$, C. R. Acad. Sci. Paris Sér. A-B 272 (1971), A849-A852. Zbl0213.05301
2. [2] P. Erdős, On the sum ${\sum }_{k=1}^{x}d\left(f\left(k\right)\right)$, J. London Math. Soc. 27 (1952), 7-15. 
3. [3] H. Halberstam and H.- E. Richert, Sieve Methods, Academic Press, London 1974. Zbl0298.10026
4. [4] T. Nagell, Introduction to Number Theory, 2nd ed., Chelsea, New York 1964. Zbl0221.10002
5. [5] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170. Zbl0412.10030
6. [6] D. Wolke, Multiplikative Funktionen auf schnell wachsenden Folgen, J. Reine Angew. Math. 251 (1971), 54-67.