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How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

score 1k · Answer 1 · 2026-03-25 01:16:27

1k

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How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

Published on 25 Mar 2026 - 1:16

score 471 · Answer 2 · 2018-11-15 21:24:52

471

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Location of the zeros of Dedekind Eta Function

Published on 15 Nov 2018 - 21:24

score 650 · Answer 3 · 2019-04-10 09:56:53

650

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Proof of the transformation formula of the Dedekind eta function using the Euler-Maclaurin formula

Published on 10 Apr 2019 - 9:56

score 75 · Answer 4 · 2019-06-06 21:06:56

75

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Closed form of $\eta^{(k)}(i)$.

Published on 06 Jun 2019 - 21:06

score 393 · Answer 5 · 2020-01-09 15:22:49

393

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Doubt in proof of Siegel of Dedekind eta function in transformation $S=-\frac{1}{\tau} $

Published on 09 Jan 2020 - 15:22

score 116 · Answer 6 · 2020-02-17 23:45:24

116

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Level $8$ modular form eta-quotient discrepancy - vanish of order $1/2$?

Published on 17 Feb 2020 - 23:45

score 85 · Answer 7 · 2020-02-18 08:45:46

85

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Dedekind eta function at cusp other than infinity

Published on 18 Feb 2020 - 8:45

score 302 · Answer 8 · 2020-03-05 21:21:20

302

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Euler product exists for the Dedekind zeta function

Published on 05 Mar 2020 - 21:21

score 40 · Answer 9 · 2023-06-14 12:42:15

40

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The error function for the numerical Dedekind eta function?

Published on 14 Jun 2023 - 12:42

score 26 · Answer 10 · 2023-07-24 10:16:51

26

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Summiation of the greatest integer function with terms of dedekind sums

Published on 24 Jul 2023 - 10:16

score 24 · Answer 11 · 2024-03-02 22:00:12

24

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For which of the Weierstrass elliptic function periods do this equation of the modular discriminant and the Dedekind eta function apply?

Published on 02 Mar 2024 - 22:00

score 40 · Answer 12 · 2024-03-11 07:07:14

40

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The Dedekind eta function $\eta(\tau)=q^{\frac{1}{24}} \prod_{n=1}^\infty (1-q^n)$ and $|\tau|^{1/2} |\eta(\tau)|^2$

Published on 11 Mar 2024 - 7:07

score 745 · Answer 13 · 2016-04-22 11:48:32

745

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Which role does the $\frac{1}{24}$ in the Dedekind $\eta$-function play?

Published on 22 Apr 2016 - 11:48

score 1.5k · Answer 14 · 2016-06-05 23:49:23

1.5k

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Modular transformations of $\eta(\tau)$

Published on 05 Jun 2016 - 23:49

score 196 · Answer 15 · 2021-06-04 17:41:43

196

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Modularity of Euler $q$-series.

Published on 04 Jun 2021 - 17:41

List Question

How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

Location of the zeros of Dedekind Eta Function

Proof of the transformation formula of the Dedekind eta function using the Euler-Maclaurin formula

Closed form of $\eta^{(k)}(i)$.

Doubt in proof of Siegel of Dedekind eta function in transformation $S=-\frac{1}{\tau} $

Level $8$ modular form eta-quotient discrepancy - vanish of order $1/2$?

Dedekind eta function at cusp other than infinity

Euler product exists for the Dedekind zeta function

The error function for the numerical Dedekind eta function?

Summiation of the greatest integer function with terms of dedekind sums

For which of the Weierstrass elliptic function periods do this equation of the modular discriminant and the Dedekind eta function apply?

The Dedekind eta function $\eta(\tau)=q^{\frac{1}{24}} \prod_{n=1}^\infty (1-q^n)$ and $|\tau|^{1/2} |\eta(\tau)|^2$

Which role does the $\frac{1}{24}$ in the Dedekind $\eta$-function play?

Modular transformations of $\eta(\tau)$

Modularity of Euler $q$-series.

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