On sums of Kloosterman and Gauss sums

DOI10.1090/tran/7506zbMath1453.11105OpenAlexW2789438085MaRDI QIDQ5380509

Igor E. Shparlinski

Publication date: 5 June 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7506

zbMATH Keywords

cancellationKloosterman sumdouble sumtrilinear sum

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Congruences in many variables (11D79)

Related Items (18)

Non-commutative methods in additive combinatorics and number theory ⋮ Bilinear sums of Gauss sums ⋮ Congruences with intervals and arbitrary sets ⋮ Energy bounds, bilinear forms and their applications in function fields ⋮ On the error term in a mixed moment of L‐functions ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ Chowla and Sarnak conjectures for Kloosterman sums ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate ⋮ CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS ⋮ Modular hyperbolas and bilinear forms of Kloosterman sums ⋮ Double sums of Kloosterman sums in finite fields ⋮ Bounds of trilinear sums with Kloosterman fractions ⋮ Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions ⋮ Exponential sum estimates over prime fields ⋮ Sums of algebraic trace functions twisted by arithmetic functions ⋮ Bounds on average values of double incomplete Kloosterman sums ⋮ Bounds on bilinear sums of Kloosterman sums

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