Jump to navigation Jump to search

General

Display information for equation id:math.242065.8 on revision:242065

* Page found: Hilbert modular form (eq math.242065.8)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 0f6f4e577681817576b132a249576597

TeX (original user input):

\gamma\cdot z = (\sigma_1(\gamma) z_1, \dots, \sigma_m(\gamma) z_m)

TeX (checked):

\gamma \cdot z=(\sigma _{1}(\gamma )z_{1},\dots ,\sigma _{m}(\gamma )z_{m})

LaTeXML (experimental; uses MathML) rendering

MathML (5.698 KB / 1.009 KB) :

γ z = ( σ 1 ( γ ) z 1 , , σ m ( γ ) z m ) 𝛾 𝑧 subscript 𝜎 1 𝛾 subscript 𝑧 1 subscript 𝜎 𝑚 𝛾 subscript 𝑧 𝑚 {\displaystyle\gamma\cdot z=(\sigma_{1}(\gamma)z_{1},\dots,\sigma_{m}(\gamma)z% _{m})}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\gamma\cdot z=(\sigma_{1}(\gamma)z_{1},\dots,\sigma_{m}(\gamma)z%&#10;_{m})}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">
      <mrow id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">γ</mi>
        <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml"></mo>
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">z</mi>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.24.2" xref="p1.1.m1.1.24.2.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.24.2.1.cmml">(</mo>
        <mrow id="p1.1.m1.1.24.2.2" xref="p1.1.m1.1.24.2.2.cmml">
          <msub id="p1.1.m1.1.24.2.2.2" xref="p1.1.m1.1.24.2.2.2.cmml">
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">σ</mi>
            <mn id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">1</mn>
          </msub>
          <mo id="p1.1.m1.1.24.2.2.1" xref="p1.1.m1.1.24.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.24.2.2.3" xref="p1.1.m1.1.24.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.24.2.2.cmml">(</mo>
            <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">γ</mi>
            <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.24.2.2.cmml">)</mo>
          </mrow>
          <mo id="p1.1.m1.1.24.2.2.1a" xref="p1.1.m1.1.24.2.2.1.cmml"></mo>
          <msub id="p1.1.m1.1.24.2.2.4" xref="p1.1.m1.1.24.2.2.4.cmml">
            <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">z</mi>
            <mn id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">1</mn>
          </msub>
        </mrow>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.24.2.1.cmml">,</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml"></mi>
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.24.2.1.cmml">,</mo>
        <mrow id="p1.1.m1.1.24.2.3" xref="p1.1.m1.1.24.2.3.cmml">
          <msub id="p1.1.m1.1.24.2.3.2" xref="p1.1.m1.1.24.2.3.2.cmml">
            <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">σ</mi>
            <mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">m</mi>
          </msub>
          <mo id="p1.1.m1.1.24.2.3.1" xref="p1.1.m1.1.24.2.3.1.cmml"></mo>
          <mrow id="p1.1.m1.1.24.2.3.3" xref="p1.1.m1.1.24.2.3.cmml">
            <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.24.2.3.cmml">(</mo>
            <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">γ</mi>
            <mo stretchy="false" id="p1.1.m1.1.20" xref="p1.1.m1.1.24.2.3.cmml">)</mo>
          </mrow>
          <mo id="p1.1.m1.1.24.2.3.1a" xref="p1.1.m1.1.24.2.3.1.cmml"></mo>
          <msub id="p1.1.m1.1.24.2.3.4" xref="p1.1.m1.1.24.2.3.4.cmml">
            <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">z</mi>
            <mi id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">m</mi>
          </msub>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.23" xref="p1.1.m1.1.24.2.1.cmml">)</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"></ci>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝛾</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑧</ci>
        </apply>
        <vector id="p1.1.m1.1.24.2.1.cmml" xref="p1.1.m1.1.24.2">
          <apply id="p1.1.m1.1.24.2.2.cmml" xref="p1.1.m1.1.24.2.2">
            <times id="p1.1.m1.1.24.2.2.1.cmml" xref="p1.1.m1.1.24.2.2.1"/>
            <apply id="p1.1.m1.1.24.2.2.2.cmml" xref="p1.1.m1.1.24.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.2.2.1.cmml" xref="p1.1.m1.1.24.2.2.2">subscript</csymbol>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝜎</ci>
              <cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">1</cn>
            </apply>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝛾</ci>
            <apply id="p1.1.m1.1.24.2.2.4.cmml" xref="p1.1.m1.1.24.2.2.4">
              <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.2.4.1.cmml" xref="p1.1.m1.1.24.2.2.4">subscript</csymbol>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑧</ci>
              <cn type="integer" id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">1</cn>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"></ci>
          <apply id="p1.1.m1.1.24.2.3.cmml" xref="p1.1.m1.1.24.2.3">
            <times id="p1.1.m1.1.24.2.3.1.cmml" xref="p1.1.m1.1.24.2.3.1"/>
            <apply id="p1.1.m1.1.24.2.3.2.cmml" xref="p1.1.m1.1.24.2.3.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.3.2.1.cmml" xref="p1.1.m1.1.24.2.3.2">subscript</csymbol>
              <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝜎</ci>
              <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝑚</ci>
            </apply>
            <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝛾</ci>
            <apply id="p1.1.m1.1.24.2.3.4.cmml" xref="p1.1.m1.1.24.2.3.4">
              <csymbol cd="ambiguous" id="p1.1.m1.1.24.2.3.4.1.cmml" xref="p1.1.m1.1.24.2.3.4">subscript</csymbol>
              <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑧</ci>
              <ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">𝑚</ci>
            </apply>
          </apply>
        </vector>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\gamma\cdot z=(\sigma_{1}(\gamma)z_{1},\dots,\sigma_{m}(\gamma)z%
_{m})}</annotation>
  </semantics>
</math>

SVG (8.607 KB / 2.814 KB) :

gamma dot z equals left-parenthesis sigma 1 times left-parenthesis gamma right-parenthesis times z 1 comma ellipsis comma sigma Subscript m Baseline times left-parenthesis gamma right-parenthesis times z Subscript m Baseline right-parenthesis

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Hilbert modular form page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results