Distribution of Kloosterman paths to high prime power moduli

DOI10.1090/btran/98arXiv2005.08865OpenAlexW4379745009MaRDI QIDQ6112901

Unnamed Author, Djordje Milićević

Publication date: 10 July 2023

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

Full work available at URL: https://arxiv.org/abs/2005.08865

zbMATH Keywords

momentsconvergence in lawKloosterman sumsrandom Fourier seriessums of productsshort exponential sums\(p\)-adic method of stationary phase

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Sample path properties (60G17) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hybrid bounds for Dirichlet L-functions
• Divisor problem in arithmetic progressions modulo a prime power
• Kloosterman paths of prime powers moduli
• Kloosterman paths and the shape of exponential sums
• A study in sums of products
• Sato-Tate distributions
• $p$-adic analytic twists and strong subconvexity
• The graphs of exponential sums
• The distribution of exponential sums
• Incomplete Gauss sums
• KLOOSTERMAN PATHS OF PRIME POWERS MODULI, II
• An Introduction to Probabilistic Number Theory
• A Remark on a Modular Analogue of the Sato–Tate Conjecture
• On Some Exponential Sums

This page was built for publication: Distribution of Kloosterman paths to high prime power moduli