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

DOI10.1134/S000143461701028XzbMath1428.11046OpenAlexW2593932262MaRDI QIDQ2396417

Mikhail R. Gabdullin

Publication date: 8 June 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461701028x

zbMATH Keywords

finite fieldcharacter sumsquaresmissing digits

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) (p)-adic and power series fields (11D88)

Related Items (2)

Pseudorandom sequences derived from automatic sequences ⋮ Character sums over sparse elements of finite fields

Cites Work

• Unnamed Item
• Estimates of character sums in finite fields
• Successive-minima-type inequalities
• Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\)
• Character sums, primitive elements, and powers in finite fields
• Counting additive decompositions of quadratic residues in finite fields
• Polynomial values and generators with missing digits in finite fields
• Burgess inequality in \(\mathbb F_{p^2}\)
• The sum of digits function in finite fields
• On Character Sums and Primitive Roots^†
• Generators and irreducible polynomials over finite fields
• О квадратах во множестве элементов конечного поля с ограничениями на коэффициенты при разложении по базису
• Prescribing the binary digits of squarefree numbers and quadratic residues
• On the distribution of powers in finite fields.
• ESTIMATES OF CHARACTER SUMS

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