Double Character Sums over Subgroups and Intervals

DOI10.1017/S0004972714000227zbMath1316.11076arXiv1401.6611OpenAlexW2148344359MaRDI QIDQ2933687

Mei-Chu Chang, Igor E. Shparlinski

Publication date: 5 December 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6611

zbMATH Keywords

intervalcharacter summultiplicative subgroup of finite field

Mathematics Subject Classification ID

Estimates on character sums (11L40)

Related Items

Bounds of double multiplicative character sums and gaps between residues of exponential functions ⋮ On small gaps between the elements of multiplicative subgroups of finite fields ⋮ Double character sums with intervals and arbitrary sets ⋮ Ratios of Small Integers in Multiplicative Subgroups of Residue Rings ⋮ ON BILINEAR EXPONENTIAL AND CHARACTER SUMS WITH RECIPROCALS OF POLYNOMIALS

Cites Work

• Sequences, discrepancies and applications
• On the distribution of the residues of small multiplicative subgroups of \(\mathbb F_p\)
• On gaps between quadratic non-residues in the Euclidean and Hamming metrics
• On a question of Davenport and Lewis and new character sum bounds in finite fields
• The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
• Sum-Product Theorems and Applications
• Sums and products of sets and estimates of rational trigonometric sums in fields of prime order
• ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• Mordell’s exponential sum estimate revisited
• On the Hidden Shifted Power Problem
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

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