Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\)
From MaRDI portal
Publication:1732979
DOI10.2140/ant.2019.13.19zbMath1464.11134OpenAlexW3124751536MaRDI QIDQ1732979
Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon
Publication date: 26 March 2019
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/ant.2019.13.19
Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50)
Related Items (3)
Quantitative sheaf theory ⋮ Moments of moments of primes in arithmetic progressions ⋮ Variance of sums in short intervals and \(L\)-functions in \(\mathbb{F}_q [t\)]
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
- Explicit relations between pair correlation of zeros and primes in short intervals
- Square-full polynomials in short intervals and in arithmetic progressions
- Autocorrelation of ratios of \(L\)-functions
- La conjecture de Weil. II
- Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
- Arithmetic functions in short intervals and the symmetric group
- Sums of divisor functions in \(\mathbb {F}_q[t\) and matrix integrals]
- \(\ell\)-adic perverse sheaves over a torus
- Big symplectic or orthogonal monodromy modulo \(\ell\)
- Good reduction of abelian varieties
- Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
- Linear functionals of eigenvalues of random matrices
- Twisted L-Functions and Monodromy. (AM-150)
- Arithmetic Correlations Over Large Finite Fields
- On the variance of sums of arithmetic functions over primes in short intervals and pair correlation forL-functions in the Selberg class
- The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
- Convolution and Equidistribution
- Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
- Néron Models
- On the Barban-Davenport-Halberstam theorem. I.
- On the Barban-Davenport-Halberstam Theorem-II
- On the Eigenvalues of Random Matrices
- MORE PRECISE PAIR CORRELATION OF ZEROS AND PRIMES IN SHORT INTERVALS
- Rigid Local Systems. (AM-139)
- On a Question of Keating and Rudnick about Primitive Dirichlet Characters with Squarefree Conductor
- Applications of theL-functions ratios conjectures
- Primes in short intervals
- Primes in arithmetic progressions
This page was built for publication: Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\)