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Displaying 101 – 120 of 309

On Minkowski units constructed by special values of Siegel modular functions

Takashi Fukuda, Keiichi Komatsu (2003)

Journal de théorie des nombres de Bordeaux

Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field $k_{6}$ of $ℚ (e x p (2 π i / 5))$ modulo $6$ . Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group $G (k_{6} / ℚ)$ for the special values. Futhermore we construct the full unit group of $k_{6}$ using modular and circular units under the GRH.

On Modular Forms Associated with Indefinite Quadratic Forms of Signature (2, n ?2).

Takayuki Oda (1977)

Mathematische Annalen

On Modular Forms whose Fourier Coefficients are Non-Negative Integers with the Constant Term Unity.

Michio Ozeki (1973)

Mathematische Annalen

On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3

Keiji Matsumoto (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On modular representations of Gal (.../Q) arising from modular forms.

K.A. Ribet (1990)

Inventiones mathematicae

On modular units.

A.J. Scholl (1989)

Mathematische Annalen

On non-basic Rapoport-Zink spaces

Elena Mantovan (2008)

Annales scientifiques de l'École Normale Supérieure

In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, given an isogeny class of Barsotti-Tate groups with unramified additional structures, we investigate how the associated (non-basic) moduli spaces compare to the (basic) moduli spaces associated with its isoclinic constituents. This aspect of the geometry of the Rapoport-Zink spaces is closely related to Kottwitz’s prediction that their $l$ -adic...

On ordinary ...-adic representations associated to modular forms.

A. Wiles (1988)

Inventiones mathematicae

On $p$ -adic analytic families of Galois representations

B. Mazur, A. Wiles (1986)

Compositio Mathematica

On $p$ -adic geometric representations of $G_{ℚ}$ .

Wintenberger, J.-P. (2007)

Documenta Mathematica

On $p$ -adic $L$ -functions of $G L (2) \times G L (2)$ over totally real fields

Haruzo Hida (1991)

Annales de l'institut Fourier

Let $D (s, f, g)$ be the Rankin product $L$ -function for two Hilbert cusp forms $f$ and $g$ . This $L$ -function is in fact the standard $L$ -function of an automorphic representation of the algebraic group $G L (2) \times G L (2)$ defined over a totally real field. Under the ordinarity assumption at a given prime $p$ for $f$ and $g$ , we shall construct a $p$ -adic analytic function of several variables which interpolates the algebraic part of $D (m, f, g)$ for critical integers $m$ , regarding all the ingredients $m$ , $f$ and $g$ as variables.

On p-adic Siegel modular forms of non-real Nebentypus

Toshiyuki Kikuta (2012)

Acta Arithmetica

On p-adic Siegel-Eisenstein series of weight k

Yoshinori Mizuno (2008)

Acta Arithmetica

On pairs of closed geodesics on hyperbolic surfaces

Nigel J. E. Pitt (1999)

Annales de l'institut Fourier

In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups $Γ$ . This links the intersection angles and common perpendiculars of pairs of closed geodesics on $Γ / H$ with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian $Δ$ . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.

Currently displaying 101 – 120 of 309

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Displaying 101 – 120 of 309

On Minkowski units constructed by special values of Siegel modular functions

On Modular Forms Associated with Indefinite Quadratic Forms of Signature (2, n ?2).

On Modular Forms whose Fourier Coefficients are Non-Negative Integers with the Constant Term Unity.

On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3

On modular representations of Gal (.../Q) arising from modular forms.

On modular units.

On non-basic Rapoport-Zink spaces

On ordinary ...-adic representations associated to modular forms.

On $p$ -adic analytic families of Galois representations

On $p$ -adic geometric representations of $G_{ℚ}$ .

On $p$ -adic $L$ -functions of $G L (2) \times G L (2)$ over totally real fields

On p-adic Siegel modular forms of non-real Nebentypus

On p-adic Siegel-Eisenstein series of weight k

On pairs of closed geodesics on hyperbolic surfaces

On Petersson Norms for Some Liftings.

On Poincaré series on Spm.

On powers of the theta-function greater than the eighth

On products of eigenforms

On quadratic character twists of Hecke L-functions attached to cusp forms of varying weights at the central point

On Ramanujan congruences between special values of Hecke and Dirichlet L-functions

Currently displaying 101 – 120 of 309