On the Newman sum over multiples of a prime with a primitive or semiprimitive root 2
@article{Shevelev2007OnTN, title={On the Newman sum over multiples of a prime with a primitive or semiprimitive root 2}, author={Vladimir Shevelev}, journal={arXiv: Number Theory}, year={2007} }
We obtain a simple relations for the Newman sum over multiples of a prime with a primitive or semiprimitive root 2. We consider the case of p=17 as well.
One Citation
Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence
- Mathematics
- 2014
Nous d\'ecrivons quelques r\'esultats r\'ecents sur la suite de Thue-Morse, ainsi que des questions ou conjectures, dont l'une, due \`a Shevelev, est r\'esolue dans cet article.
We describe some…
References
SHOWING 1-7 OF 7 REFERENCES
Two Digit Theorems
- Mathematics
- 2007
We prove that if p is a prime with a primitive root 2 then S_p(2^p)=p and give a sufficient condition for an equality of kind S_p(2^p)=+or-p.
New Digit Results and Several Problems
- Mathematics, Computer Science
- 2007
Some new relations for Newman digit sums respectively different modulos are given and an important conjecture is put for the odd prime modulo for which there are problems.
Rarified sums of the Thue-Morse sequence
- Mathematics
- 1999
Let q be an odd number and Sq,O(n) the difference between the number of k 0 for all n. In this paper it is proved that the same assertion holds if q is divisible by 3 or q = 4N + 1. On the other…
TWO ALGORITHMS FOR EXACT EVALUATION OF THE NEWMAN DIGIT SUM AND THE SHARP EXTIMATES
- Mathematics
- 2007
Using the periodicity of F the process of the extension of the uniquedefinition of η(x) (13), (15), ...should be infinitely continuable. In ouropinion, only after that there is a sense to say about…
Sur les nombers qui ont des proprietes additives of multiplicatives donnees, Acta Arithmetica XIII (1968),259-263
- 1968
Automatic Sequences
- Automatic Sequences
- 2003
Sur les nombers qui ont des proprietes additives of multiplicatives donnees
- Acta Arithmetica XIII
- 1968