Origin of Hecke operatorsDefinition of Hecke operatorsDefinition of Hecke operators on orthogonal modular formsDeligne-Scholl's motives for modular forms: Hecke operators vs. transposed Hecke operatorsRiemann hypothesis for the Hecke operators and modular formsWhat is the matter with Hecke operators?Volumes of Hecke operatorsOrigin of definitions of ramified Hecke operatorsHecke operators for hermitian modular forms of general levelHecke algebra $mathcal H(operatornameGL_2(mathbb Q_p)/operatornameGL_2(mathbb Z_p))$ and Hecke operatorsHecke operators that lower level
Origin of Hecke operators
Definition of Hecke operatorsDefinition of Hecke operators on orthogonal modular formsDeligne-Scholl's motives for modular forms: Hecke operators vs. transposed Hecke operatorsRiemann hypothesis for the Hecke operators and modular formsWhat is the matter with Hecke operators?Volumes of Hecke operatorsOrigin of definitions of ramified Hecke operatorsHecke operators for hermitian modular forms of general levelHecke algebra $mathcal H(operatornameGL_2(mathbb Q_p)/operatornameGL_2(mathbb Z_p))$ and Hecke operatorsHecke operators that lower level
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What is the original paper in which Erich Hecke had first introduced the Hecke operators?
nt.number-theory reference-request modular-forms hecke-operators
asked Jun 2 at 22:56
ShimrodShimrod
600516
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add a comment |
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What is the original paper in which Erich Hecke had first introduced the Hecke operators?
nt.number-theory reference-request modular-forms hecke-operators
asked Jun 2 at 22:56
ShimrodShimrod
600516
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2
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To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
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– paul garrett
Jun 3 at 17:46
add a comment |
$begingroup$
What is the original paper in which Erich Hecke had first introduced the Hecke operators?
nt.number-theory reference-request modular-forms hecke-operators
asked Jun 2 at 22:56
ShimrodShimrod
600516
$endgroup$
What is the original paper in which Erich Hecke had first introduced the Hecke operators?
nt.number-theory reference-request modular-forms hecke-operators
nt.number-theory reference-request modular-forms hecke-operators
asked Jun 2 at 22:56
ShimrodShimrod
600516
asked Jun 2 at 22:56
ShimrodShimrod
600516
asked Jun 2 at 22:56
ShimrodShimrod
600516
asked Jun 2 at 22:56
ShimrodShimrod
600516
asked Jun 2 at 22:56
ShimrodShimrod
600516
600516
2
$begingroup$
To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
$endgroup$
– paul garrett
Jun 3 at 17:46
add a comment |
2
$begingroup$
To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
$endgroup$
– paul garrett
Jun 3 at 17:46
2
2
$begingroup$
To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
$endgroup$
– paul garrett
Jun 3 at 17:46
$begingroup$
To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
$endgroup$
– paul garrett
Jun 3 at 17:46
add a comment |
1 Answer
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Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I, Math. Ann. 114 (1937), 1-28; II, ibid., 316-351. These two papers are available here and here.
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
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Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I, Math. Ann. 114 (1937), 1-28; II, ibid., 316-351. These two papers are available here and here.
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
$endgroup$
add a comment |
$begingroup$
Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I, Math. Ann. 114 (1937), 1-28; II, ibid., 316-351. These two papers are available here and here.
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
$endgroup$
add a comment |
$begingroup$
Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I, Math. Ann. 114 (1937), 1-28; II, ibid., 316-351. These two papers are available here and here.
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
$endgroup$
Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I, Math. Ann. 114 (1937), 1-28; II, ibid., 316-351. These two papers are available here and here.
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
answered Jun 2 at 23:50
GH from MOGH from MO
61.1k5154234
61.1k5154234
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To be fair, Mordell had used "Hecke operators" in proving the weak multiplicativity of Ramanujan's tau-function, that is, of the Fourier coefficients of the holomorphic cuspform of weight 12.
$endgroup$
– paul garrett
Jun 3 at 17:46