The distribution of values of \(L(1,\chi_d)\)
From MaRDI portal
Publication:1423509
DOI10.1007/s00039-003-0438-3zbMath1044.11080arXivmath/0206031OpenAlexW2149818552MaRDI QIDQ1423509
Andrew Granville, Kannan Soundararajan
Publication date: 4 March 2004
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0206031
Related Items (68)
Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip ⋮ Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Note on a paper by A. Granville and K. Soundararajan ⋮ Recent progress on the quantum unique ergodicity conjecture ⋮ The twisted moments and distribution of values of Dirichlet \(L\)-functions at 1 ⋮ A note on square totients ⋮ Corrigendum: Elliptic curves with a given number of points over finite fields ⋮ Sums of Euler products and statistics of elliptic curves ⋮ Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ The distribution of values of \(\frac{L^\prime}{L}(1 / 2 + \epsilon, \chi_D)\) ⋮ The distribution of class numbers in a special family of real quadratic fields ⋮ Absolute values of \(L\)-functions for \(\mathrm{GL}(n, \mathbb{R})\) at the point 1 ⋮ A lower bound for biases amongst products of two primes ⋮ Values of automorphic \(L\)-functions with prime power level at the point \(s=1\) ⋮ Amicable pairs and aliquot cycles on average ⋮ A density theorem and extreme values of automorphic L-functions at one ⋮ The moments and statistical distribution of class numbers of quadratic fields with prime discriminant ⋮ Distribution of Dirichlet L‐functions ⋮ Large deviations for values of \(L\)-functions attached to cusp forms in the level aspect ⋮ Zeta functions and asymptotic additive bases with some unusual sets of primes ⋮ The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect ⋮ Extreme residues of Dedekind zeta functions ⋮ LARGE MOMENTS AND EXTREME VALUES OF CLASS NUMBERS OF INDEFINITE BINARY QUADRATIC FORMS ⋮ Extreme values of derivatives of zeta and L‐functions ⋮ The distribution of values of zeta and \(L\)-functions ⋮ LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS ⋮ An asymptotic for the average number of amicable pairs for elliptic curves ⋮ Signatures of Dirichlet characters and elliptic curves ⋮ Randomness of character sums modulo \(m\) ⋮ Unnamed Item ⋮ Missing Class Groups and Class Number Statistics for Imaginary Quadratic Fields ⋮ A mean value theorem for the square of class number times regulator of quadratic extensions ⋮ Special values of symmetric power \(L\)-functions and Hecke eigenvalues ⋮ Large deviations of sums of random variables ⋮ On large values of L(σ,χ) ⋮ The distribution of Euler-Kronecker constants of quadratic fields ⋮ On the independence of Heegner points associated to distinct quadratic imaginary fields ⋮ On mean values of random multiplicative functions ⋮ On the average of the number of imaginary quadratic fields with a given class number ⋮ A note on Dirichlet \(L\)-functions ⋮ An effective universality theorem for the Riemann zeta function ⋮ Principal forms \(X^2+nY^2\) representing many integers ⋮ OMEGA THEOREMS FOR $\frac{L'}{L}(1, \chi_D)$ ⋮ On the mean square average of special values of \(L\)-functions ⋮ The maximum size of L-functions ⋮ Irregularity of distribution in Wasserstein distance ⋮ Comparing \(L(s,\chi)\) with its truncated Euler product and generalization ⋮ The moments and statistical distribution of class number of primes over function fields ⋮ Two dimensional value-distribution of cubic Hecke $L$-functions ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on \(\mathrm{GL}(n,\mathbb{R})\) with applications ⋮ The distribution of consecutive prime biases and sums of sawtooth random variables ⋮ BIG BIASES AMONGST PRODUCTS OF TWO PRIMES ⋮ An asymptotic version of the prime power conjecture for perfect difference sets ⋮ Functional distribution of 𝐿(𝑠,𝜒_{𝑑}) with real characters and denseness of quadratic class numbers ⋮ Expander graphs based on GRH with an application to elliptic curve cryptography ⋮ Distribution and non-vanishing of special values of L-series attached to Erdős functions ⋮ Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields ⋮ Comparing the density of $D_4$ and $S_4$ quartic extensions of number fields ⋮ Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms ⋮ Nonzero coefficients of half-integral weight modular forms mod \(\ell \) ⋮ Value-distribution of cubic Hecke \(L\)-functions ⋮ Euler’s constant: Euler’s work and modern developments ⋮ Large character sums: Pretentious characters and the Pólya-Vinogradov theorem ⋮ COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS ⋮ High moments of the Riemann zeta-function ⋮ The congruence equation a¯ + b¯ ≡c¯(modp) ⋮ Level repulsion for arithmetic toral point scatterers in dimension 3 ⋮ Uniform effective estimates for \(|L (1, \chi)|\)
This page was built for publication: The distribution of values of \(L(1,\chi_d)\)