On ordinary ...-adic representations associated to modular forms.
Displaying 61 – 80 of 132
On -adic -functions of over totally real fields
Haruzo Hida (1991)
Annales de l'institut Fourier
Let be the Rankin product -function for two Hilbert cusp forms and . This -function is in fact the standard -function of an automorphic representation of the algebraic group defined over a totally real field. Under the ordinarity assumption at a given prime for and , we shall construct a -adic analytic function of several variables which interpolates the algebraic part of for critical integers , regarding all the ingredients , and as variables.
On singular moduli.
B.H. Gross, Don B. Zagier (1984)
Journal für die reine und angewandte Mathematik
On sums of three squares
James W. Cogdell (2003)
Journal de théorie des nombres de Bordeaux
We address the question of when an integer in a totally real number field can be written as the sum of three squared integers from the field and more generally whether it can be represented by a positive definite integral ternary quadratic form over the field. In recent work with Piatetski-Shapiro and Sarnak we have shown that every sufficiently large totally positive square free integer is globally integrally represented if and only if it is so locally at all places, thus essentially resolving...
On symmetric and unsymmetric theta functions over a real quadratic field
Martin Eichler (1980)
Acta Arithmetica
On the anticyclotomic main conjecture for CM fields.
H. Hida, J. Tilouine (1994)
Inventiones mathematicae
On the arithmetic of Siegel-Hilbert cuspforms: Petersson inner products and Fourier coefficients.
Paul B. Garrett (1992)
Inventiones mathematicae
On the classification of Hilbert Modular threefolds.
H.G. Grundman (1991)
Manuscripta mathematica
On the critical values of certain Dirichlet series and the periods of automorphic forms.
Goro Shimura (1988)
Inventiones mathematicae
On the Eisenstein series of Hilbert modular groups.
Goro Shimura (1985)
Revista Matemática Iberoamericana
On the Geometry of a Siegel Modular Threefold.
G. van der Geer (1982)
Mathematische Annalen
On the graded rings of modular forms
M. Eichler (1971)
Acta Arithmetica
On the Kodaira dimensions of Hilbert modular varieties.
Shigeaki Tsuyumine (1985)
Inventiones mathematicae
On the Kuznetsov-Bruggeman Formula for a Hilbert Modular Surface Having One Cusp.
David Joyner (1990)
Mathematische Zeitschrift
On the Kuznetsov-Bruggemann formula for a Hilbert modular surface having one cusp (Addendum).
D. Joyner (1990)
Mathematische Zeitschrift
On the meromorphic continuation of degree two -functions.
Taylor, Richard (2007)
Documenta Mathematica
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
E. Thomas, A.T. Vasquez (1980)
Mathematische Annalen
On the Second L-Functions Attached to Hilbert Modular Forms.
Shin-ichiro Mizumoto (1984)
Mathematische Annalen
On the spaces of Eisenstein series of Hilbert modular groups.
Toshitsune Miyake (1987)
Revista Matemática Iberoamericana
On the Theta Constant of Genus 8 and Hilbert Modular Groups over Certain Cyclic Biquadratic Fields.
Hidehisa Naganuma (1987)
Mathematische Annalen