Question

Rate of Convergence of $A_{s,k}=\prod_{p}\left(1-p^{-1}\right)^{s-k+1}\sum_{m=0}^{k-1}{s\choose m}\left(1-p^{-1}\right)^{k-1-m}p^{-m}$

score 69 · Answer 1 · 2015-04-02 21:41:57

69

Views

Rate of Convergence of $A_{s,k}=\prod_{p}\left(1-p^{-1}\right)^{s-k+1}\sum_{m=0}^{k-1}{s\choose m}\left(1-p^{-1}\right)^{k-1-m}p^{-m}$

Published on 02 Apr 2015 - 21:41

score 422 · Answer 2 · 2015-04-03 09:54:37

422

Views

Power series expansion of Blaschke product

Published on 03 Apr 2015 - 9:54

score 304 · Answer 3 · 2015-04-04 17:35:19

304

Views

Infinite Product - Seems to telescope

Published on 04 Apr 2015 - 17:35

score 68 · Answer 4 · 2015-04-06 03:17:13

68

Views

Product over real interval? Is there a better way of putting this?

Published on 06 Apr 2015 - 3:17

score 124 · Answer 5 · 2015-04-08 21:20:34

124

Views

How could I get access to more than the first 2 mln non-trivial zeros of $\zeta(s)$?

Published on 08 Apr 2015 - 21:20

score 462 · Answer 6 · 2026-03-28 10:56:22

462

Views

To prove $\prod\limits_{n=1}^\infty\cos\frac{x}{2^n}=\frac{\sin x}{x},x\neq0$

Published on 28 Mar 2026 - 10:56

score 182 · Answer 7 · 2015-04-09 14:47:04

182

Views

Calculation of $\prod_{k=1}^\infty \left( 1 + \frac{a}{k^2} \right)$?

Published on 09 Apr 2015 - 14:47

score 176 · Answer 8 · 2015-04-10 00:42:38

176

Views

convergence of an infinite product (how to prove ?)

Published on 10 Apr 2015 - 0:42

score 78 · Answer 9 · 2015-04-11 08:22:58

78

Views

Maximise $y$ with respect to $x$ for $y=\prod_{k=1}^{\infty}(1-x^{-k})$

Published on 11 Apr 2015 - 8:22

score 133 · Answer 10 · 2015-04-16 20:19:23

133

Views

Solving $y=\prod_{n=1}^{\infty}\frac{d^ny}{dx^n}$

Published on 16 Apr 2015 - 20:19

score 147 · Answer 11 · 2015-04-16 21:35:19

147

Views

Is there anything known about the value where the Euler and Hadamard products for $\zeta(s)$ are equal?

Published on 16 Apr 2015 - 21:35

score 287 · Answer 12 · 2015-04-23 14:50:16

287

Views

What is the limit of this divergent infinite product multiplied by an exponential?

Published on 23 Apr 2015 - 14:50

score 620 · Answer 13 · 2015-04-26 06:02:54

620

Views

Factorization $\cos(z) - \sin(z)$

Published on 26 Apr 2015 - 6:02

score 97 · Answer 14 · 2015-04-26 19:25:49

97

Views

Compute the values of two infinite products whose factors are the same

Published on 26 Apr 2015 - 19:25

score 154 · Answer 15 · 2015-05-01 15:27:48

154

Views

Evaluation of $\prod_{k=1}^{\infty}\frac{a+k^2}{b+k^2}$

Published on 01 May 2015 - 15:27

List Question

Rate of Convergence of $A_{s,k}=\prod_{p}\left(1-p^{-1}\right)^{s-k+1}\sum_{m=0}^{k-1}{s\choose m}\left(1-p^{-1}\right)^{k-1-m}p^{-m}$

Power series expansion of Blaschke product

Infinite Product - Seems to telescope

Product over real interval? Is there a better way of putting this?

How could I get access to more than the first 2 mln non-trivial zeros of $\zeta(s)$?

To prove $\prod\limits_{n=1}^\infty\cos\frac{x}{2^n}=\frac{\sin x}{x},x\neq0$

Calculation of $\prod_{k=1}^\infty \left( 1 + \frac{a}{k^2} \right)$?

convergence of an infinite product (how to prove ?)

Maximise $y$ with respect to $x$ for $y=\prod_{k=1}^{\infty}(1-x^{-k})$

Solving $y=\prod_{n=1}^{\infty}\frac{d^ny}{dx^n}$

Is there anything known about the value where the Euler and Hadamard products for $\zeta(s)$ are equal?

What is the limit of this divergent infinite product multiplied by an exponential?

Factorization $\cos(z) - \sin(z)$

Compute the values of two infinite products whose factors are the same

Evaluation of $\prod_{k=1}^{\infty}\frac{a+k^2}{b+k^2}$

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