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Search options not deleted user 1098

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

3 votes
Accepted

Upperbounding the number of regions induced by a set of unit disks

If you take a triangular packing of discs and slightly increase the radius of each disc then enclose the packing in a large regular square and remove all discs outside the square. Then inside the squa …
Kristal Cantwell's user avatar
4 votes

The missing Euler Idoneal numbers

The paper you have quoted says that if the generalized Riemann hypothesis holds then there are only 65 idoneal numbers(see corollary 23). This agrees with the first comment to your answer. According t …
Kristal Cantwell's user avatar
8 votes
Accepted

Sparse ramsey theory

Here there is a set of lecture notes from a course given by Imre Leader in 2003. On page 18 of these notes this is given as an open problem.
Kristal Cantwell's user avatar
2 votes
Accepted

4D Duoprisms based on nonconvex polygons

           There is some information about the product of two pentagrams here              
Kristal Cantwell's user avatar
3 votes

CLT for stationary sequences with infinite variance

I have found an article "A central limit theorem for independent summands with infinite variances" here: https://doi.org/10.1007/BF03048130 Also see page 235 of Financial modelling with jump processes …
Kristal Cantwell's user avatar
4 votes
1 answer
313 views

Origin of Fujimura set

If we have 10 coins arranged in an equilateral triangle and we want to know the minimum number of coins we can remove so that none of the remaining coins form an equilateral triangle the remaining coi …
Kristal Cantwell's user avatar
2 votes

Who invented the gamma function?

According to the Wikipedia article the question was of extending the factorial beyond the integers was first posed in the 1720's by Daniel Bernoulli and Christian Goldbach. It was first solved by Eule …
Kristal Cantwell's user avatar
8 votes

Most dense subset of numbers that avoids arbitrarily long arithmetic progressions

If a sequence avoids three term arithmetic progressions it is less than ((log log N)^4)N/log N according to "A Quantitative improvement for Roths’s Theorem On Arithmetic Progressions" which is availab …
Kristal Cantwell's user avatar
14 votes

What's that shape? Inferring a 3D shape from random shadows

If you have no information about the vertices and allow nonconvexity there could be problems first you will only get information about the surface of the 3d shape but even there you will have problems …
Kristal Cantwell's user avatar
27 votes

Scott-Solovay unpublished paper on ``Boolean valued models of set theory''

Scott was editor of the Oxford logic guides and was involved in the preparation of Set Theory: Boolean-Valued Models and Independence Proofs (Oxford Logic Guides). He wrote a foreword to it and in thi …
Kristal Cantwell's user avatar