bio  website  wwwpersonal.umich.edu/~gkopp 

location  University of Michigan  
age  26  
visits  member for  4 years, 11 months 
seen  21 mins ago  
stats  profile views  1,260 
I am a math graduate student at the University of Michigan. I graduated from the University of Chicago in 2011.
4h

comment 
Is there a $q$L'Hospital's Rule?
This limit appears to diverge, and it doesn't match the limit in the Stack Exchange question. Could you please clarify? 
Jan 13 
answered  Sharp upper bounds on hypergeometric function ${}_2F_1[a,b,c;z]$ when $z\geq1$ 
Jan 13 
revised 
Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(2)}(1+i)+\frac1{4\pi}\text{Li}_2(e^{2\pi})\log\sqrt{2\pi}+\frac{5\pi}{24}+\frac12$
clarification 
Jan 13 
revised 
Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(2)}(1+i)+\frac1{4\pi}\text{Li}_2(e^{2\pi})\log\sqrt{2\pi}+\frac{5\pi}{24}+\frac12$
clarification 
Jan 13 
answered  Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(2)}(1+i)+\frac1{4\pi}\text{Li}_2(e^{2\pi})\log\sqrt{2\pi}+\frac{5\pi}{24}+\frac12$ 
Aug 12 
awarded  Yearling 
Jul 2 
awarded  Curious 
Nov 13 
awarded  Good Question 
Nov 5 
awarded  Popular Question 
Oct 21 
comment 
Euclidean real quadratic fields
I'm not sure what you mean by "a single (or finitely many) Euclidean function(s)"; how do you tell whether two Euclidean functions for different number rings are the same or different? Anyway, this paper arxiv.org/abs/1106.0856 might interest you. 
Oct 21 
comment 
Jokes in the sense of Littlewood: examples?
@Michael: I'm not quite sure what you're getting at. The $\lambda_i$ live in $\overline{K(x_{11}, x_{12}, \cdots, x_{nn})}$ but not in $K(x_{11}, x_{12}, \cdots, x_{nn})$, so that doesn't tell you anything downstairs. 
Oct 9 
comment 
When is a Number Ring generated by its Norm1 elements?
For a real quadratic field of discriminant $d$, the condition holds if and only if $\frac{d}{4}+1$ is a square, so, as you said, rarely. However, the relationship Bump mentions works for all real quadratic fields, if you phrase it as, "there's a natural bijection between the ideal classes of all orders $\mathcal{O}$ of $K$ and the hyperbolic conjugacy classes of ${\rm PSL}_2(\mathbb{Z})$ with eigenvalues in $K$." Your condition guarantees that the ideals of the max order $\mathcal{O}_K$ correspond to the conjugacy classes having the fundamental unit as an eigenvalue. 
Sep 4 
revised 
Set of primes dividing polynomials and composition
added 216 characters in body 
Sep 4 
answered  Set of primes dividing polynomials and composition 
Aug 12 
awarded  Yearling 
Jul 28 
comment 
Subgroups of finite index of fields
No. Consider finite fields. 
Jul 25 
comment 
Class numbers of orders
Updated the answer. Thanks for pointing that out, David. 
Jul 25 
revised 
Class numbers of orders
added 259 characters in body 
Jul 25 
revised 
Class numbers of orders
deleted 1 characters in body 
Jul 25 
answered  Class numbers of orders 