• Corpus ID: 115160688

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}
}
  • V. Shevelev
  • Published 6 October 2007
  • Mathematics, Philosophy
  • arXiv: Number Theory
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. 

Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence

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

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

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

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

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