Websingle Kloosterman sums such as Weil’s bound, S(a, b, c) (a, b, c)12 c 1 2 +ε, or, more recently, for averages of Kloosterman sums, in particular the bounds of Deshouillers and … WebFeb 3, 2015 · Download PDF Abstract: We give new bounds for $\sum_{a, m ,n}\alpha_{m}\beta_n\nu_a {\textrm e}\left(\frac{a\overline m}{n}\right)$ where $\alpha_{m}$, $\beta_n$ and $\nu_a$ are arbitrary coefficients, improving upon a result of …
Trilinear forms with Kloosterman fractions - Archive
WebJul 1, 2013 · Bounds of trilinear sums with Kloosterman fractions. Archiv der Mathematik 2024-09-01 Journal article DOI: 10.1007/s00013-021 ... On the typical size and … WebOct 8, 2024 · Article. Trilinear Forms with Double Kloosterman Sums. October 2024; International Journal of Number Theory 14(5) fidelity investments manyata tech park
Bilinear forms with Kloosterman fractions - Springer
WebMar 1, 1997 · Invent. math. 128, 23–43 (1997) Springer-Verlag 1997 1; 2; 1; W. Duke , J. Friedlander , H. Iwaniec Rutgers University, New Brunswick, NJ 08903, USA Department of … WebThe Kloosterman sum with character ˜(mod c)is (1:1) S˜(a;b;c)= X x (mod c) ˜(x)e ax + bx c where e(t)=e2ˇit and xx 1 (mod c). If ˜is the principal character this is the classical … WebWe prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods … fidelity investments main number