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This tag is used if a reference is needed in a paper or textbook on a specific result.

2 votes
0 answers
112 views

Reference request: "A result of Siegel" related to Ramanujan-Nagell type equations

Wikipedia refers to the Diophantine equation $ x^2 + D = AB^n $ as an "equation of Ramanujan–Nagell type". It also says that "A result of Siegel implies that the number of solutions in each case is fi …
Eric Nathan Stucky's user avatar
14 votes
1 answer
415 views

Hilbert series of graded Cohen-Macaulay domains, 28 years later?

I am reading through Richard Stanley's 1990 paper "On the Hilbert Function of a Graded Cohen-Macaulay Domain" to present in a seminar. I am trying to provide a reasonable conclusion for this talk, and …
Eric Nathan Stucky's user avatar
2 votes
0 answers
66 views

Beyond the Bring Radical: What is known about "generating radicals" for roots of polynomials...

Famously, there is no general solution by radicals to find roots of polynomials (real, say) with degree $d\geq 5$. Somewhat less famously, there is a general solution[?] in degree $5$ using the so-cal …
Eric Nathan Stucky's user avatar