|
|||||
|
|
|
|
|
|
|
|
|
Estimates for partial
sums of continued fraction partial quotients
Harold George Diamond and Jeffrey D. Vaaler |
|
Vol. 122 (1986), No. 1, 73–82
|
Abstract |
|
Metric-type estimates are given for a class of partial sums involving continued fraction partial quotients. These results extend a well known theorem of Khinchin and yield an almost-everywhere estimate for the quantity in the title. |
Mathematical Subject Classification 2000
Primary: 11K50
Secondary: 11J70
|
Milestones
Received: 28 August 1984
Revised: 22 January 1985
Published: 1 March 1986
|
Authors |
| Harold George Diamond | |
| Department of Mathematics University of Illinois 1409 W Green Street Urbana IL 61801-2917 United States |
|
| http://www.math.uiuc.edu/~diamond | |
| Jeffrey D. Vaaler | |
| Department of Mathematics University of Texas at Austin 1 University Station - C1200 Austin TX 78712-0257 United States |
|
|
