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Distribution of exponential functions with squarefull exponent in residue rings.

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Publication:1890429
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DOI10.1016/S0019-3577(04)90020-1zbMath1108.11070MaRDI QIDQ1890429

Igor E. Shparlinski

Publication date: 3 January 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)


zbMATH Keywords

exponential sumscharacter sumsdiscrepency of sequence


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Exponential sums (11T23) Distribution of integers with specified multiplicative constraints (11N25)


Related Items

Distribution of exponential functions with \(k\)-full exponent modulo a prime, Character sums with exponential functions over smooth numbers, Bilinear sums with exponential functions



Cites Work

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  • Sequences, discrepancies and applications
  • Character sums over integers with restricted \(g\)-ary digits
  • On the Distribution of Diffie--Hellman Triples with Sparse Exponents
  • Double exponential sums over thin sets
  • Quasi-Monte Carlo methods and pseudo-random numbers
  • Exponential sums over Mersenne numbers
  • Character sums with exponential functions
  • Some doubly exponential sums over Zm
  • ON THE DISTRIBUTION OF DIGITS IN PERIODIC FRACTIONS
  • The distribution of square-full integers
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