A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS

DOI10.1142/S1793042112500996zbMath1269.11110arXiv1208.2633OpenAlexW2964196687MaRDI QIDQ3166340

Julio C. Andrade

Publication date: 11 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2633

zbMATH Keywords

function fieldsclass numbersmean values of \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Class numbers, class groups, discriminants (11R29)

Related Items (11)

Average values of \(L\)-series for real characters in function fields ⋮ On the Northcott property of zeta functions over function fields ⋮ Average values of \(L\)-functions in even characteristic ⋮ Unnamed Item ⋮ On sums involving products and quotients of \(L\)-functions over function fields ⋮ The moments and statistical distribution of class number of primes over function fields ⋮ Mean value of the class number in function fields revisited ⋮ A note on the mean value of L(1, χ) in the hyperelliptic ensemble ⋮ COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS ⋮ The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields ⋮ REMARK ON AVERAGE OF CLASS NUMBERS OF FUNCTION FIELDS

Cites Work

• The fluctuations in the number of points on a hyperelliptic curve over a finite field
• The average measure of quadratic forms with given determinant and signature
• Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• Integral moments of L-functions

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