On sums of Kloosterman and Gauss sums
From MaRDI portal
Publication:5380509
DOI10.1090/tran/7506zbMath1453.11105OpenAlexW2789438085MaRDI QIDQ5380509
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New sum-product type estimates over finite fields
- Generalized Dedekind sums and equidistribution mod 1
- Algebraic and transcendental formulas for the smallest parts function
- On the distribution of arguments of Gauss sums
- On short sums of trace functions
- Divisor problem in arithmetic progressions modulo a prime power
- Trilinear forms with Kloosterman fractions
- Bilinear forms with exponential sums with binomials
- Multiplicative congruences with variables from short intervals
- The congruence \(x_1 x_2 \equiv x_3 x_4\) and mean values of character sums
- Some applications of smooth bilinear forms with Kloosterman sums
- The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
- Bilinear forms with Kloosterman sums and applications
- On congruences with products of variables from short intervals and applications
- Algebraic trace functions over the primes
- THE DIVISOR FUNCTION IN ARITHMETIC PROGRESSIONS MODULO PRIME POWERS
- Cancellations amongst Kloosterman sums
- Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
- On moments of twisted L-functions
- On a ternary quadratic form over primes
- The least square-free number in an arithmetic progression.
- Almost-primes in arithmetic progressions and short intervals
- Analogues of Kloosterman sums
- BOUNDS FOR TRIPLE EXPONENTIAL SUMS WITH MIXED EXPONENTIAL AND LINEAR TERMS
- Large Sieve Inequalities for Algebraic Trace Functions
- CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS
- Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group
- Kloosterman sums in residue rings
- THE 3-PART OF CLASS NUMBERS OF QUADRATIC FIELDS
- The divisor problem for arithmetic progressions
This page was built for publication: On sums of Kloosterman and Gauss sums