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On a conjecture of Erdos
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pilehrood, Tatiana Hessami Pilehrood, Khodabakhsh Hessami |
| Copyright Year | 2008 |
| Abstract | In this paper, we use the following standard notation: Z is the ring of integers, Q and Q are the fields of rational and algebraic numbers, respectively, φ(q) is the Euler function, and ω(q) is the number of different prime divisors of a number q. In the 1960s, Erdős put forward the following conjecture [1, p. 430], which has not been either proved or disproved: for any natural number q and any arbitrary numerical function f(n) with period q taking the values +1, −1 for n = 1, 2, . . . , q − 1 and 0 for n = q, the sum of the convergent series |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0001434608010306 |
| Alternate Webpage(s) | http://www.sku.ac.ir/academic/members/hessami-k/files/MatZametki2008.pdf |
| Alternate Webpage(s) | https://doi.org/10.1134/S0001434608010306 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
