On \(n\)-dimensional Kloosterman sums
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Publication:1258766
DOI10.1016/0022-314X(79)90006-4zbMath0409.10024MaRDI QIDQ1258766
Publication date: 1979
Published in: Journal of Number Theory (Search for Journal in Brave)
Related Items (31)
On the character sums analogous to high dimensional Kloosterman sums ⋮ A sum analogous to Kloosterman sum and its fourth power mean ⋮ TERNARY DIVISOR FUNCTIONS IN ARITHMETIC PROGRESSIONS TO SMOOTH MODULI ⋮ The fourth power mean of the general 2-dimensional Kloostermann sums mod \(p\) ⋮ Classical scattering of a charged particle on an extended magnetic monopole ⋮ A new hybrid power mean involving the generalized quadratic Gauss sums and sums analogous to Kloosterman sums ⋮ Fourth power mean of the general \(s\)-dimensional Kloosterman sum mod \(p\) ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ The generalized divisor problem over arithmetic progressions ⋮ High-dimensional D. H. Lehmer problem over short intervals ⋮ A generalization on the difference between an integer and its inverse modulo \(q\) ⋮ Fourth power mean of the general 4-dimensional Kloosterman sum mod \(p\) ⋮ Upper bounds on \(n\)-dimensional Kloosterman sums ⋮ The fourth power mean of the general 3-dimensional Kloostermann sums mod \(p\) ⋮ Gauss sums and Kloosterman sums over residue rings of algebraic integers ⋮ Hybrid mean value results for a generalization on a problem of D.H. Lehmer and hyper-Kloosterman sums ⋮ Three-dimensional analogues of the Heath-Brown and Selberg identities ⋮ Manin's conjecture for a cubic surface with 2A2 + A1 singularity type ⋮ Two identities related to dirichlet character of polynomials ⋮ On the order of the high-dimensional Cochrane sum and its mean value ⋮ Explicit values of multi-dimensional Kloosterman sums for prime powers, II ⋮ On \(s\)-dimensional incomplete Kloosterman sums ⋮ On the character sum of polynomials and the two-term exponential sums ⋮ Kloosterman sums for prime powers in \(p\)-adic fields ⋮ Bounds for incomplete hyper-Kloosterman sums ⋮ A NOTE ON LEHMER k-TUPLES ⋮ Mean value of some exponential sums and applications to Kloosterman sums ⋮ A note on high-dimensional D. H. Lehmer problem ⋮ POWER-FREE VALUES OF THE POLYNOMIAL t1⋯tr−1 ⋮ Arithmetic properties of Heilbronn sums ⋮ A generalization on the difference between an integer and its inverse modulo \(q\). II
Cites Work
- Some exponential sums
- On exponential sums in finite fields. II
- La conjecture de Weil. I
- A note on multiple exponential sums
- An Asymptotic Formula in the Theory of Numbers
- L-Functions of a Quadratic Form
- On Kloosterman's sum
- On Some Exponential Sums
- Numbers of solutions of equations in finite fields
- On the Riemann Hypothesis in Function-Fields
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