Families of \(L\)-functions of automorphic forms and applications
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Publication:1424587
DOI10.5802/jtnb.403zbMath1056.11027OpenAlexW831070693MaRDI QIDQ1424587
Publication date: 16 March 2004
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_275_0
(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Related Items (4)
The shifted fourth moment of automorphic $L$-functions of prime power level ⋮ Subconvexity bounds for triple \(L\)-functions and representation theory ⋮ On sums of three squares. ⋮ Real zeros and size of Rankin-Selberg \(L\)-functions in the level aspect
Cites Work
- Decomposition of Eisenstein series: Rankin triple products
- Gross-Zagier formula for \(\text{GL}_ 2\).
- On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
- The central critical value of a triple product \(L\)-function
- Fourier coefficients of modular forms of half-integral weight
- Heegner points and derivatives of \(L\)-series
- Hyperbolic distribution problems and half-integral weight Maass forms
- Fourier transformat, constants of the functional equations and Weil conjecture
- A rigid analytic Gross-Zagier formula and arithmetic applications. (With an appendix by B. Edixhoven)
- Sur les coefficients de Fourier des formes modulaires de poids demi-entier
- La conjecture de Weil. II
- Bounds for automorphic \(L\)-functions
- On the nonvanishing of Rankin-Selberg \(L\)-functions
- A quadratic divisor problem
- Bounds for automorphic \(L\)-functions. II
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- Bilinear forms with Kloosterman fractions
- The subconvexity problem for Artin \(L\)-functions
- Real zeros of quadratic Dirichlet \(L\)-functions
- On sums of three squares.
- Exponential decay in the frequency of analytic ranks of automorphic \(L\)-functions
- The cubic moment of central values of automorphic \(L\)-functions
- Mollification of the fourth moment of automorphic \(L\)-functions and arithmetic applications.
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- On sums of Hecke series in short intervals
- Uniform distribution of Heegner points.
- Mazur's conjecture on higher Heegner points.
- The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points
- La conjecture de Weil. I
- Sur la nature non-cyclotomique des points d'ordre fini des courbes elliptiques. (On the noncyclotomic nature of finite-order points of elliptic curves). With an appendix by E. Kowalski and P. Michel
- Upper and lower bounds at \(s=1\) for certain Dirichlet series with Euler product.
- Cuspidality of symmetric powers with applications.
- Rankin-Selberg \(L\)-functions in the level aspect.
- Class group \(L\)-functions
- The rank of quotients of \(J_0(N)\)
- The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
- Zeta functions of simple algebras
- Rankin-Selberg Convolutions
- On Character Sums and L-Series†
- On Euler Products and the Classification of Automorphic Representations I
- The spectral growth of automorphic L-functions.
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- Zeroes of zeta functions and symmetry
- A subconvexity bound for Hecke L-functions
- A lower bound for the rank of $J_0(q)$
- Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip
- Linear Independence of Hecke Operators in the Homology of X 0 (N )
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Bounds for automorphic \(L\)-functions. III.
- Two non-vanishing theorems of special values of \(L\)-functions
- The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
- Heights of Heegner points on Shimura curves.
- Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity
- Heegner points on Mumford-Tate curves
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