Balasubramanian, R. ; Ramachandra, K. (1980) Effective and noneffective results on certain arithmetical functions Journal of Number Theory, 12 (1). pp. 10-19. ISSN 0022-314X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...
Related URL: http://dx.doi.org/10.1016/0022-314X(80)90068-2
Abstract
Some Ω results are proved in this paper. It suffices to state a particular result. Write D(n) for the number of square free divisors of n. Next put ∑Nn−1 D(n) − x/ζ (2) × (log x + (2y − 1 − 2ζ(2)/ζ(2))) = E(x), where N is the integral part of x. Given any ε > 0 we define explicitly a sequence of intervals in each of which max |E(x)|x−1/4+ε > 1.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 1293 |
| Deposited On: | 04 Oct 2010 07:54 |
| Last Modified: | 16 May 2011 05:03 |
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