Concepedia

On congruences mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="fraktur">p</mml:mi><mml:mi>m</mml:mi></mml:msup></mml:math> between eigenforms and their attached Galois representations

Imin Chen, Ian Kiming, Jonas B. Rasmussen

Journal of Number Theory · 2009 · 15 citations · 5 references

Concepts

Natural SciencesMathematicsAlgebraRepresentation TheoryGalois RepresentationsGalois TheoryModular ArithmeticModular FormsQuadratic FormsCongruences Between Modular FormsGalois Representations Attached To Modular FormsHecke EigenformsModular Form ComputationsModular Galois RepresentationsP-adic Galois RepresentationsSpaces Of Modular Forms

References

5

The Magma Algebra System I: The User Language

Wieb Bosma, John Cannon, Catherine Playoust · Journal of Symbolic Computation · 1997 · 7.4K citations

Computing, Computer Science, Algebra +5

Congruences of cusp forms and special values of their zeta functions

Haruzo Hida · Inventiones mathematicae · 1981 · 164 citations

Natural Sciences, Mathematics, Number Theory +13

A first course in modular forms

Choice Reviews Online · 2005 · 136 citations

Natural Sciences, Mathematics, Mathematics Education +10

Adjoint <i>L</i> -Values and Primes of Congruence for Hilbert Modular Forms

Eknath Ghate · Compositio Mathematica · 2002 · 37 citations · Full text

Natural Sciences, Mathematics, Form-finding +12

On Fourier coefficients of modular forms of different weights

Winfried Kohnen · Acta Arithmetica · 2004 · 10 citations · Full text

Natural Sciences, Physics, Representation Theory +11