Science Record

Finally, it seems very possible that, by this method with some modifica-

; : : ; 12 . tions, we can even get a still better result, ie. Cee At the same time we

5 5 ‘ : 12 can improve on the result concerning the circle. problem to aa" These have been expected for a long time.

The author wishes to express his thanks to Prof. S. H. Min for his help.

REFERENCES

Hardy, G. H. 1916 Proc. Lond. Math. Soc, 2, 15, 1—25. Min, S. H. 1949 Trans. Amer. Math. Soc. 65, 448—472. [3] Chin, T. T. 1950 The Science Report of Tsing Hua University, 5, 4, 402—427. . [4] Richert, H. E. 1953 Math. Zeit. 58, 204—218. [5] Voronoi 1903 Jour. fur die reine und angewandte Math. 126, 241—282. [6] Van der Corput 1922 Math. Ann. 87, 39—65. [7] Van der Corput 1927—28 Math. Ann. 98, 697—716. [8] Hua, L. K. 1942 Quart. Jour. Math. (Oxf.) 13, 18—29. [9] Titchmarsh, E. C. 1951 The Theory of the Reimann Zeta-Function, Oxford. [10] Bunorpanos, MW. M. 1952 Haopannve Tpydv, 119—127, Mockea.