Generalized Newman Phenomena and Digit Conjectures on Primes
We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o(1) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a d...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/908045 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685933840924672 |
|---|---|
| author | Vladimir Shevelev |
| author_facet | Vladimir Shevelev |
| author_sort | Vladimir Shevelev |
| collection | DOAJ |
| description | We prove that the ratio of the Newman sum over numbers
multiple of a fixed integer, which is not a multiple of 3, and the Newman
sum over numbers multiple of a fixed integer divisible by 3 is o(1)
when the upper limit of summing tends to infinity. We also discuss a
connection of our results with a digit conjecture on primes. |
| format | Article |
| id | doaj-art-bba1bb6be76b4ec5a6c623ff85fea64d |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bba1bb6be76b4ec5a6c623ff85fea64d2025-08-20T03:22:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/908045908045Generalized Newman Phenomena and Digit Conjectures on PrimesVladimir Shevelev0Departments of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, IsraelWe prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o(1) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.http://dx.doi.org/10.1155/2008/908045 |
| spellingShingle | Vladimir Shevelev Generalized Newman Phenomena and Digit Conjectures on Primes International Journal of Mathematics and Mathematical Sciences |
| title | Generalized Newman Phenomena and Digit Conjectures on Primes |
| title_full | Generalized Newman Phenomena and Digit Conjectures on Primes |
| title_fullStr | Generalized Newman Phenomena and Digit Conjectures on Primes |
| title_full_unstemmed | Generalized Newman Phenomena and Digit Conjectures on Primes |
| title_short | Generalized Newman Phenomena and Digit Conjectures on Primes |
| title_sort | generalized newman phenomena and digit conjectures on primes |
| url | http://dx.doi.org/10.1155/2008/908045 |
| work_keys_str_mv | AT vladimirshevelev generalizednewmanphenomenaanddigitconjecturesonprimes |