The number of squarefull numbers in an interval

 Access to full text

 Full (PDF)

1. [1] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa (4) 13 (1986), 449-472. Zbl0615.10047
2. [2] M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3) 57 (1988), 1-24. 
3. [3] H. Iwaniec and C. J. Mozzochi, On the divisor and circle problems, J. Number Theory 29 (1988), 60-93. Zbl0644.10031
4. [4] G. Kolesnik, On the number of Abelian groups of a given order, J. Reine Angew. Math. 329 (1981), 164-175. Zbl0467.10035
5. [5] H. Liu, On square-full numbers in short intervals, Acta Math. Sinica (N.S.) (2) 6 (1990), 148-164. Zbl0708.11044
6. [6] E. Phillips, The zeta-function of Riemann, further developments of van der Corput's method, Quart. J. Math. Oxford 4 (1933), 209-225. Zbl59.0204.01
7. [7] H. E. Richert, On the difference between consecutive squarefree numbers, J. London Math. Soc. 28 (1953), 16-20. Zbl0055.04001
8. [8] P. G. Schmidt, Zur Anzahl quadratvoller Zahlen in kurzen Intervallen, Acta Arith. 46 (1986), 159-164. Zbl0565.10042
9. [9] P. G. Schmidt, Über die Anzahl quadratvoller Zahlen in kurzen Intervallen und ein verwandtes Gitterpunkproblem. Corrigendum zu Acta Arithmetica L (1988), 195-201, Acta Arith. 54 (1990), 251-254. 
10. [10] P. Shiu, On square-full integers in a short interval, Glasgow Math. J. 25 (1984), 127-134. Zbl0526.10035
11. [11] I. M. Vinogradov, A new estimate for ζ(1+it), Izv. Akad. Nauk SSSR Ser. Mat. 22 (1958), 161-164 

1. Hong-Quan Liu, The number of cube-full numbers in an interval
2. Hong-Quan Liu, Divisor problems of 4 and 3 dimensions
3. Hong-Quan Liu, On some divisor problems