On exponential sums over multiplicative subgroups of medium size
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Publication:405956
DOI10.1016/j.ffa.2014.06.002zbMath1300.11085arXiv1311.5726OpenAlexW2015889047MaRDI QIDQ405956
Publication date: 8 September 2014
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5726
Estimates on exponential sums (11L07) Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Sequences (mod (m)) (11B50)
Related Items (18)
Estimates of trigonometric sums over subgroups and some of their applications ⋮ On small gaps between the elements of multiplicative subgroups of finite fields ⋮ On the additive energy of the Heilbronn subgroup ⋮ Bounds on exponential sums with quadrinomials ⋮ On the exponential large sieve inequality for sparse sequences modulo primes ⋮ Configurations of rectangles in \(\mathbb{F}_q^2\) ⋮ Double exponential sums with exponential functions ⋮ Weil Sums over Small Subgroups ⋮ Equidistribution of exponential sums indexed by a subgroup of fixed cardinality ⋮ On the few products, many sums problem ⋮ ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT ⋮ Differences of subgroups in subgroups ⋮ Multilinear exponential sums with a general class of weights ⋮ Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields ⋮ The congruence $x^{x}\equiv \lambda \pmod p$ ⋮ Ratios of Small Integers in Multiplicative Subgroups of Residue Rings ⋮ Homogeneous additive congruences ⋮ New sum-product type estimates over finite fields
Cites Work
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- Miller's primality test
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- On additive shifts of multiplicative subgroups
- Some new results on higher energies
- Pseudorandomness and Dynamics of Fermat Quotients
- Short character sums with Fermat quotients
- Matrix Analysis
- New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
- On the value set of Fermat quotients
- ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
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