Relations between cusp forms sharing Hecke eigenvalues
Relations between cusp forms sharing Hecke eigenvalues
复制标题
共享 Hecke 特征值的尖点形式之间的关系
DOI:
--
复制
发表时间:
2020
期刊:
影响因子:
--
通讯作者:
R. Raghunathan
中科院分区:
文献类型:
--
作者:
Dipendra Prasad;R. Raghunathan
<p>In this paper we consider the question of when the set of Hecke eigenvalues of a cusp form on <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G upper L Subscript n Baseline left-parenthesis double-struck upper A Subscript upper F Baseline right-parenthesis">
<mml:semantics>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow class="MJX-TeXAtom-ORD">
<mml:mi mathvariant="double-struck">A</mml:mi>
</mml:mrow>
<mml:mi>F</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:annotation encoding="application/x-tex">GL_n(mathbb {A}_F)</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> is contained in the set of Hecke eigenvalues of a cusp form on <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G upper L Subscript m Baseline left-parenthesis double-struck upper A Subscript upper F Baseline right-parenthesis">
<mml:semantics>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow class="MJX-TeXAtom-ORD">
<mml:mi mathvariant="double-struck">A</mml:mi>
</mml:mrow>
<mml:mi>F</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:annotation encoding="application/x-tex">GL_m(mathbb {A}_F)</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> for <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n less-than-or-equal-to m">
<mml:semantics>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>≤<!-- ≤ --></mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:annotation encoding="application/x-tex">n leq m</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>. This question is closely related to a question about finite dimensional representations of an abstract group, which also we consider in this work.</p>
DOI:
10.5802/crmath.129
发表时间:
2020
期刊:
Comptes rendus
影响因子:
--
作者:
Khare, Chandreshekhar;Larsen, Michael:
通讯作者:
Larsen, Michael: