scientific article; zbMATH DE number 837822

zbMath0846.11029MaRDI QIDQ4863731

Eric Urban

Publication date: 26 September 1996

Full work available at URL: http://www.numdam.org/item?id=CM_1995__99_3_283_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

imaginary quadratic fieldsautomorphic formsperiodRankin-Selberg methodspecial values of \(L\)-functionsautomorphic cusp formscongruence modulemotivic \(L\)-function

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items

On \(p\)-adic \(L\)-function associated with cusp forms on \(\mathrm{GL}_2\), Integral period relations and congruences, Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\), An \(R = T\) theorem for imaginary quadratic fields, On mod \(p\) nonvanishing of special values of \(L\)-functions associated with cusp forms on \(\mathrm{GL}_{2}\) over imaginary quadratic fields, Bianchi modular symbols and \(p\)-adic \(L\)-functions, Congruence module for \(\text{GL}(2)\) of an imaginary quadratic field and Iwasawa theory of biquadratic CM field, Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms, Arithmetic properties of similitude theta lifts from orthogonal to symplectic groups, Denominators of Eisenstein cohomology classes for \(\text{GL}_2\) over imaginary quadratic fields, Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms, Ihara's lemma for imaginary quadratic fields, Arithmetic Aspects of Bianchi Groups, Selmer groups and the Eisenstein-Klingen ideal.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(p\)-adic \(L\)-functions for CM fields
• On Artin L-functions associated to Hilbert modular forms of weight one
• Higher regulators and values of \(L\)-functions
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• Congruences of cusp forms and special values of their zeta functions
• On congruence divisors of cusp forms as factors of the special values of their zeta functions
• Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms
• \(p\)-ordinary cohomology groups for \(\text{SL}(2)\) over number fields
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On the eigenvalues of Hecke operators
• On automorphic forms on \(\mathrm{GL}_2\) and Hecke operators
• Dirichlet series and automorphic forms
• On some results of Atkin and Lehner
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• Homology theory for locally compact spaces
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• Automorphic Forms on Adele Groups. (AM-83)
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$