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Asymptotic formula for the sum of the sums of elements of the continued fractions for numbers of the form a/p

โœ Scribed by V. N. Popov


Publisher
Springer US
Year
1981
Tongue
English
Weight
534 KB
Volume
17
Category
Article
ISSN
1573-8795

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The asymptotics of a new exponential sum
โœ R.B. Paris ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 855 KB

The absolutely convergent exponential sum is studied for m โ†’ +โˆž and fixed p when the parameter ฮธ is allowed to become large such that ฮธ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of S p (ฮธ; m) consisting of a multiple spiral struc