Rudnick and Soundararajan's theorem for function fields

DOI10.1016/j.ffa.2015.10.007zbMath1402.11112DBLPjournals/ffa/Andrade16arXiv1511.01148OpenAlexW3124450853WikidataQ57934816 ScholiaQ57934816MaRDI QIDQ897341

Julio C. Andrade

Publication date: 17 December 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01148

zbMATH Keywords

function fieldsfinite fieldshyperelliptic curvesrandom matrix theorymoments of \(L\)-functionsquadratic Dirichlet \(L\)-functionslower bounds for moments

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50)

Related Items (7)

Mean values of derivatives of \(L\)-functions in function fields. I. ⋮ Moments of moments of primes in arithmetic progressions ⋮ Mean values of derivatives of $L$-functions in function fields: IV ⋮ Correlation of shifted values of \(L\)-functions in the hyperelliptic ensemble ⋮ A simple proof of the mean value of \(|K_2(\mathcal O)|\) in function fields ⋮ Polya-Vinogradov inequality for polynomial character sums over finite fields ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields

Cites Work

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• Estimates for coefficients of \(L\)-functions for function fields
• Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
• Fractional Moments of the Riemann Zeta-Function
• Zeroes of zeta functions and symmetry
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS
• Integral moments of L-functions
• Lower bounds for moments of L -functions
• THE FOURTH MOMENT OF DIRICHLET L-FUNCTIONS FOR THE RATIONAL FUNCTION FIELD
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Random matrix theory and \(\zeta(1/2+it)\).

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