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Displaying 201 – 220 of 309

On the infinite fern of Galois representations of unitary type

Gaëtan Chenevier (2011)

Annales scientifiques de l'École Normale Supérieure

Let $E$ be a CM number field, $p$ an odd prime totally split in $E$ , and let $X$ be the $p$ -adic analytic space parameterizing the isomorphism classes of $3$ -dimensional semisimple $p$ -adic representations of $Gal (\bar{E} / E)$ satisfying a selfduality condition “of type $U (3)$ ”. We study an analogue of the infinite fern of Gouvêa-Mazur in this context and show that each irreducible component of the Zariski-closure of the modular points in $X$ has dimension at least $3 [E : ℚ]$ . As important steps, and in any rank, we prove that any first order...

On the infinite product exponents of meromorphic modular forms for certain arithmetic groups

SoYoung Choi, Chang Heon Kim (2010)

Acta Arithmetica

On the infinite volume Hecke surfaces

Thomas A. Schmidt, Mark Sheingorn (1995)

Compositio Mathematica

On the intersection of modular correspondences.

Benedict H. Gross, Kevin Keating (1993)

Inventiones mathematicae

On the invariants of the Hecke groups

L. Parson (1982)

Acta Arithmetica

On the Iwahori-spherical discrete series for $p$ -adic Chevalley groups; formal degrees and $L$ -packets

Mark Reeder (1994)

Annales scientifiques de l'École Normale Supérieure

On the Kodaira Dimension of the Moduli Space of Abelian Varieties.

Yung-sheng Tai (1982)

Inventiones mathematicae

On the Kodaira dimensions of Hilbert modular varieties.

Shigeaki Tsuyumine (1985)

Inventiones mathematicae

On the Kronecker Pairing for Mixed Cusp Forms.

Min Ho Lee (1991)

Manuscripta mathematica

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 l-adic cohomology of Siegel threefolds.

Richard Taylor (1993)

Inventiones mathematicae

On the Linear Independence of Certain Theta-Series.

Jürg Kramer (1988)

Mathematische Annalen

On the local behaviour of ordinary $Λ$ -adic representations

Eknath Ghate, Vinayak Vatsal (2004)

Annales de l'Institut Fourier

Let $f$ be a primitive cusp form of weight at least 2, and let $ρ_{f}$ be the $p$ -adic Galois representation attached to $f$ . If $f$ is $p$ -ordinary, then it is known that the restriction of $ρ_{f}$ to a decomposition group at $p$ is “upper triangular”. If in addition $f$ has CM, then this representation is even “diagonal”. In this paper we provide evidence for the converse. More precisely, we show that the local Galois representation is not diagonal, for all except possibly finitely many of the arithmetic members of a non-CM...

On the local theta-correspondence.

Stephen S. Kudla (1986)

Inventiones mathematicae

On the location of poles of the triple $L$ -functions

Tamotsu Ikeda (1992)

Compositio Mathematica

On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products

Kohji Matsumoto (1991)

Acta Arithmetica

On the mean value of Dedekind sum weighted by the quadratic Gauss sum

Tingting Wang, Wenpeng Zhang (2013)

Czechoslovak Mathematical Journal

Various properties of classical Dedekind sums $S (h, q)$ have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to...

On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1

Huaning Liu, Wenpeng Zhang (2006)

Acta Arithmetica

On the mean values of Dedekind sums

Wenpeng Zhang (1996)

Journal de théorie des nombres de Bordeaux

In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.

Currently displaying 201 – 220 of 309

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