Ultra-short sums of trace functions

DOI10.4064/aa230308-11-5zbMath1530.11096arXiv2302.13670MaRDI QIDQ6071868

Unnamed Author, Emmanuel Kowalski

Publication date: 29 November 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.13670

zbMATH Keywords

equidistributionWeyl sumstrace functionslinear relations between algebraic numbersroots of polynomial congruences

Mathematics Subject Classification ID

Exponential sums (11T23) Weyl sums (11L15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions
• Rational products of singular moduli
• An explicit integral polynomial whose splitting field has Galois group \(W(E_8)\)
• Additive and multiplicative relations connecting conjugate algebraic numbers
• On short sums of trace functions
• Equidistribution of roots of a quadratic congruence to prime moduli
• Ax's theorem with an additive character
• Algebraic twists of modular forms and Hecke orbits
• Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
• Algebraic trace functions over the primes
• CM-Points on Straight Lines
• JMM Lecture Sampler
• Kloosterman paths and the shape of exponential sums
• A study in sums of products
• The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros
• The conjugate dimension of algebraic numbers
• An effective “Theorem of André” for CM-points on a plane curve
• Triples of singular moduli with rational product
• The graphic nature of Gaussian periods
• Gaussian distribution of short sums of trace functions over finite fields
• Théories spectrales
• No Singular Modulus Is a Unit

This page was built for publication: Ultra-short sums of trace functions