Question

Are there asymptotic expressions for multiple zetas $\small \zeta(s),\zeta(s,s),\zeta(s,s,s),\ldots$ where $\small s=1+\delta, \delta\to 0$?

score 223 · Answer 1 · 2026-03-30 16:46:44

223

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Are there asymptotic expressions for multiple zetas $\small \zeta(s),\zeta(s,s),\zeta(s,s,s),\ldots$ where $\small s=1+\delta, \delta\to 0$?

Published on 30 Mar 2026 - 16:46

score 1.1k · Answer 2 · 2012-04-28 04:52:12

1.1k

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Can $e_n$ always be written as a linear combination of $n$-th powers of linear polynomials?

Published on 28 Apr 2012 - 4:52

score 166 · Answer 3 · 2026-03-26 21:10:25

166

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Identifying $k[x_1,x_2,y_1,y_2]^{\epsilon}$ with $k[x,y]\wedge k[x,y]$

Published on 26 Mar 2026 - 21:10

score 4.7k · Answer 4 · 2012-06-25 13:47:46

4.7k

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A system of equations with 5 variables: $a+b+c+d+e=0$, $a^3+b^3+c^3+d^3+e^3=0$, $a^5+b^5+c^5+d^5+e^5=10$

Published on 25 Jun 2012 - 13:47

score 52 · Answer 5 · 2012-07-12 22:50:40

52

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Existence of a Root of Elementary Monomials

Published on 12 Jul 2012 - 22:50

score 925 · Answer 6 · 2026-03-26 18:57:11

925

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Primitive Element for Field Extension of Rational Functions over Symmetric Rational Functions

Published on 26 Mar 2026 - 18:57

score 427 · Answer 7 · 2012-08-23 18:42:44

427

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Analog of Newton's theorem for symmetric polynomials

Published on 23 Aug 2012 - 18:42

score 2.1k · Answer 8 · 2012-09-07 22:50:20

2.1k

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A proof of the fundamental theorem of symmetric polynomials

Published on 07 Sep 2012 - 22:50

score 64 · Answer 9 · 2026-03-26 18:50:34

64

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Symmetrizing a sequence of vectors

Published on 26 Mar 2026 - 18:50

score 198 · Answer 10 · 2012-09-11 12:02:32

198

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Three inequalities with sums of fractions over two positive integers

Published on 11 Sep 2012 - 12:02

score 115 · Answer 11 · 2026-03-29 02:30:32

115

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Free software for expresing a resolvent as function of coefficients

Published on 29 Mar 2026 - 2:30

score 596 · Answer 12 · 2012-10-08 19:25:20

596

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A generalized (MacLaurin's) average for functions

Published on 08 Oct 2012 - 19:25

score 210 · Answer 13 · 2026-03-28 07:00:02

210

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Is the application of $\mu$ on $P_x(s)^k$ analogous to the differentiation $\frac{d^k f(\lambda) }{d\lambda^k}\biggr|_{\lambda=0}$?

Published on 28 Mar 2026 - 7:00

score 432 · Answer 14 · 2026-03-30 14:22:21

432

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The roots of $x^3+4x-1=0$ are $a$, $b$, $c$. Find $(a+1)^{-3}+(b+1)^{-3}+(c+1)^{-3}$

Published on 30 Mar 2026 - 14:22

score 1.3k · Answer 15 · 2012-12-05 17:43:53

1.3k

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expressing some polynomial in terms of symmetric polynomials

Published on 05 Dec 2012 - 17:43

List Question

Are there asymptotic expressions for multiple zetas $\small \zeta(s),\zeta(s,s),\zeta(s,s,s),\ldots$ where $\small s=1+\delta, \delta\to 0$?

Can $e_n$ always be written as a linear combination of $n$-th powers of linear polynomials?

Identifying $k[x_1,x_2,y_1,y_2]^{\epsilon}$ with $k[x,y]\wedge k[x,y]$

A system of equations with 5 variables: $a+b+c+d+e=0$, $a^3+b^3+c^3+d^3+e^3=0$, $a^5+b^5+c^5+d^5+e^5=10$

Existence of a Root of Elementary Monomials

Primitive Element for Field Extension of Rational Functions over Symmetric Rational Functions

Analog of Newton's theorem for symmetric polynomials

A proof of the fundamental theorem of symmetric polynomials

Symmetrizing a sequence of vectors

Three inequalities with sums of fractions over two positive integers

Free software for expresing a resolvent as function of coefficients

A generalized (MacLaurin's) average for functions

Is the application of $\mu$ on $P_x(s)^k$ analogous to the differentiation $\frac{d^k f(\lambda) }{d\lambda^k}\biggr|_{\lambda=0}$?

The roots of $x^3+4x-1=0$ are $a$, $b$, $c$. Find $(a+1)^{-3}+(b+1)^{-3}+(c+1)^{-3}$

expressing some polynomial in terms of symmetric polynomials

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