Character sums over integers with restricted \(g\)-ary digits

zbMath1026.11068MaRDI QIDQ1856421

Igor E. Shparlinski, Alessandro Conflitti, William D. Banks

Publication date: 12 December 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

upper boundsexponential sumsmultiplicative character sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Estimates on character sums (11L40) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Weyl sums (11L15)

Related Items (21)

Arithmetics properties of substitutions and infinite automata ⋮ Distribution of exponential functions with squarefull exponent in residue rings. ⋮ Existentially closed graphs via permutation polynomials over finite fields ⋮ Primes with one excluded digit ⋮ Primes with restricted digits ⋮ Character sums over elements of extensions of finite fields with restricted coordinates ⋮ Weyl sums over integers with digital restrictions ⋮ Prescribing the binary digits of squarefree numbers and quadratic residues ⋮ Multiplicative character sums and products of sparse integers in residue classes ⋮ On the multiplicative properties modulo \(m\) of numbers with missing digits ⋮ Distribution of exponential functions with \(k\)-full exponent modulo a prime ⋮ Weyl sums over integers with affine digit restrictions ⋮ On large families of subsets of the set of the integers not exceeding \(N\) ⋮ Character sums with exponential functions over smooth numbers ⋮ On gaps between quadratic non-residues in the Euclidean and Hamming metrics ⋮ Exponential sums with automatic sequences ⋮ On the distribution of low Hamming weight products ⋮ О квадратах во множестве элементов конечного поля с ограничениями на коэффициенты при разложении по базису ⋮ The sum of digits function in finite fields ⋮ Polynomial values and generators with missing digits in finite fields ⋮ The ternary Goldbach problem with two Piatetski–Shapiro primes and a prime with a missing digit

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