Results 81 to 89 of about 111 (89)

A Second Approach to the Proper Cycles of Indefinite Quadratic Forms and Their Right Neighbors

, 2007
In (3), we proved that the proper cycle of an indefinite qua- dratic form F =( a, b, c) of discriminant Δ can be obtained using its con- secutive right neighbors R i (F ). We proved that if the length l of cycle of F is odd, then the proper cycle of F is
A. Tekcan
semanticscholar   +1 more source

Hecke fields of Hilbert modular analytic families

, 2014
Take a non CM p-slope 0 analytic family of Hilbert modular forms of level Np∞ for a prime p of the base totally real field F . We prove that the Hecke field over Q[μp∞ ] of members of the family grows indefinitely large over any infinite set of ...
H. Hida
semanticscholar   +1 more source

Spherical Designs Attached to Extremal Lattices and the Modulo p Property of Fourier Coefficients of Extremal Modular Forms

, 2006
A theorem of Venkov says that each nontrivial shell of an extremal even unimodular lattice in R with 24 | n is a spherical 11design. It is a difficult open question whether there exists any 12-design among them.
E. Bannai, M. Koike, M. Shinohara, M. Tagami   +3 more
semanticscholar   +1 more source

CUBIC MODULAR IDENTITIES OF RAMANUJAN, HYPERGEOMETRIC FUNCTIONS AND ANALOGUES OF THE ARITHMETIC-GEOMETRIC MEAN ITERATION

, 1993
There are four values of s for which the hypergeometric function 2F1( 1 2 − s, 1 2 + s; 1; ·) can be parametrized in terms of modular forms; namely, s = 0, 1 3 , 1 4 , 1 6 .
F. Garvan
semanticscholar   +1 more source

Orbital Functional Series on Picard Surfaces

, 2002
We introduce orbital functionals ∫ β simultaneously for each commensurability class of orbital surfaces. They are realized on infinitely dimensional orbital divisor spaces spanned by (arithmetic-geodesic real 2dimensional) orbital curves on any orbital ...
R. Holzapfel
semanticscholar   +1 more source

Linear Relations Between Modular form Coefficients and Non‐Ordinary Primes

, 2005
Y. Choie, W. Kohnen, K. Ono
semanticscholar   +1 more source

Formal Groups of Building Blocks Completely Defined Over Finite Abelian Extensions of Q

, 2006
F. Sairaiji
semanticscholar   +1 more source

Q‐Curves and Abelian Varieties of GL2‐Type

, 2000
J. Quer
semanticscholar   +1 more source