Square-root cancellation for sums of factorization functions over short intervals in function fields
From MaRDI portal
Publication:2037850
DOI10.1215/00127094-2020-0060zbMath1506.11151arXiv1809.05137OpenAlexW3145580266MaRDI QIDQ2037850
Publication date: 8 July 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05137
Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38)
Related Items (4)
The tamely ramified geometric quantitative minimal ramification problem ⋮ An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t\) and a variant of the Ttchmarsh divisor problem] ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ The size of wild Kloosterman sums in number fields and function fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
- Equidistribution in \(\operatorname{Bun}_2(\mathbb{P}^1)\)
- On the number of points on a complete intersection over a finite field. (Appendix: Number of points on singular complete intersections by Nicholas M. Katz)
- The divisor problem for \(d_4(n)\) in short intervals
- La conjecture de Weil. II
- Arithmetic functions in short intervals and the symmetric group
- Divisor problem in arithmetic progressions modulo a prime power
- Sums of divisor functions in \(\mathbb {F}_q[t\) and matrix integrals]
- A trace formula for the distribution of rational \(G\)-orbits in ramified covers, adapted to representation stability
- The fourth power mean of Dirichlet \(L\)-functions in \(\mathbb{F}_q [T\)]
- Prime polynomials in short intervals and in arithmetic progressions
- Simultaneous non-vanishing for Dirichlet \(L\)-functions
- Algebraic twists of modular forms and Hecke orbits
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- THE DIVISOR FUNCTION IN ARITHMETIC PROGRESSIONS MODULO PRIME POWERS
- The number of primes in a short interval.
- Exponential Sums and Lattice Points III
- On square-free values of large polynomials over the rational function field
- The Riemann Zeta Function on Vertical Arithmetic Progressions
- Higher Moments of Arithmetic Functions in Short Intervals: A Geometric Perspective
- Witt Vectors and a Question of Keating and Rudnick
- Modeles de neron et monodromie
- THE FOURTH MOMENT OF DIRICHLET L-FUNCTIONS FOR THE RATIONAL FUNCTION FIELD
- On Some Exponential Sums
- Primes in short intervals
- On the difference between consecutive primes
- Sums of Betti numbers in arbitrary characteristic.
This page was built for publication: Square-root cancellation for sums of factorization functions over short intervals in function fields