Colloquium De Giorgi 2013 and 2014

DOI10.1007/978-88-7642-515-8zbMath1408.11080OpenAlexW1182596529MaRDI QIDQ5890733

Étienne Fouvry, Philippe Michel, Emmanuel Kowalski

Publication date: 10 June 2016

Full work available at URL: https://doi.org/10.1007/978-88-7642-515-8

zbMATH Keywords

\(\ell\)-adic sheavestrace functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Distribution of integers with specified multiplicative constraints (11N25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Cancellation in algebraic twisted sums on \(\operatorname{GL}_m\) ⋮ TERNARY DIVISOR FUNCTIONS IN ARITHMETIC PROGRESSIONS TO SMOOTH MODULI ⋮ The Twelfth Moment of Dirichlet L-functions with Smooth Moduli ⋮ On the size of the maximum of incomplete Kloosterman sums ⋮ On short sums of trace functions ⋮ Gaussian distribution of short sums of trace functions over finite fields ⋮ ON THE DISTRIBUTION OF THE MAXIMUM OF CUBIC EXPONENTIAL SUMS ⋮ Distribution questions for trace functions with values in cyclotomic integers and their reductions ⋮ PERIODIC TWISTS OF -AUTOMORPHIC FORMS ⋮ When Kloosterman sums meet Hecke eigenvalues ⋮ The distribution of the maximum of partial sums of Kloosterman sums and other trace functions ⋮ Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums ⋮ Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series ⋮ The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions