RAMANUJAN SUMS AND THE AVERAGE VALUE OF ARITHMETIC FUNCTIONS

被引:12
作者
BELLMAN, R
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D O I
10.1215/S0012-7094-50-01717-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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页码:159 / 168
页数:10
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[2]   THE SINGULAR SERIES FOR SUMS OF SQUARES OF POLYNOMIALS [J].
CARLITZ, L .
DUKE MATHEMATICAL JOURNAL, 1947, 14 (04) :1105-1120
[3]  
Carlitz L., 1932, Q J MATH, V3, P273, DOI DOI 10.1093/QMATH/OS-3.1.273
[4]  
Carmichael RD, 1932, P LOND MATH SOC, V34, P1
[5]   AN EXTENSION OF RAMANUJANS SUM [J].
COHEN, E .
DUKE MATHEMATICAL JOURNAL, 1949, 16 (01) :85-90
[6]  
Hardy GH, 1921, P CAMB PHILOS SOC, V20, P263
[7]  
Holder O., 1936, PRACE MAT FIZ, V43, P13
[8]  
Hua L., 1940, J CHINESE MATH SOC, V2, P301
[9]   Ramanujan sums and almost periodic functions [J].
Kac, M ;
Van Kampen, ER ;
Wintner, A .
AMERICAN JOURNAL OF MATHEMATICS, 1940, 62 :107-114
[10]  
Ramanujan S., 1918, T CAMBRIDGE PHILOS S, V22, P259