On the squares in the set of elements of a finite field with constraints on the coefficients of its basis expansion-Reference-Cited by-同舟云学术

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On the squares in the set of elements of a finite field with constraints on the coefficients of its basis expansion

Published:2017-01 Issue:1-2 Volume:101 Page:234-249
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Gabdullin M. R.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/article/10.1134/S000143461701028X/fulltext.html

Reference15 articles.

1. C. Dartyge, C. Mauduit, and A. Sárközy, “Polynomial values and generators with missing digits in finite fields,” Funct. Approx. Comment. Math. 52 (1), 65–74 (2015).

2. C. Dartyge and A. Sárközy, “The sum of digits function in the finite field.,” Proc. Amer. Math. Soc. 141 (12), 4119–4124 (2013).

3. S. V. Konyagin, “Estimates of character sums in finite fields,” Mat. Zametki 88 (4), 529–542 (2010) [Math. Notes 88 (3–4), 503–515 (2010)].

4. R. Dietmann, C. Elsholtz, and I. E. Shparlinski, Prescribing the Binary Digits of Squarefree Numbers and Quadratic Residues, arXiv: 1601. 04754.

5. M. R. Gabdullin, “On squares in special sets in finite fields,” Chebyshevskii Sb. 17 (2), 56–63 (2016).

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