College Station, TX

Age: 27

 1d awarded Constituent 1d comment Proving convergence of a Hilbert modular theta function $\vartheta(z):= \sum\limits_{x \in \mathcal{O}_F} e^{\pi i \operatorname{Tr}(x^2 z)}$Thanks a lot. I will try to do that. 1d comment Proving convergence of a Hilbert modular theta function $\vartheta(z):= \sum\limits_{x \in \mathcal{O}_F} e^{\pi i \operatorname{Tr}(x^2 z)}$You're absolutely right. I was actually trying to prove the result and I got stuck with the sum $\displaystyle{\sum_{(m, n) \in \mathbb{Z}^2} e^{- \pi (m + n\sqrt{d})^2 \Im(z)} = \sum_{(m, n) \in \mathbb{Z}^2} e^{- \pi ( m^2 + 2mn\sqrt{d} + dn^2) \Im(z)} }$, which is basically what you wrote. 1d revised Proving convergence of a Hilbert modular theta function $\vartheta(z):= \sum\limits_{x \in \mathcal{O}_F} e^{\pi i \operatorname{Tr}(x^2 z)}$added 1 characters in body 1d asked Proving convergence of a Hilbert modular theta function $\vartheta(z):= \sum\limits_{x \in \mathcal{O}_F} e^{\pi i \operatorname{Tr}(x^2 z)}$ May 18 reviewed Approve suggested edit on Integration problems May 9 revised Determine the character of $\sum_{n=1}^{+\infty}{\frac{e^{i\theta n}}{n}}$edited title May 8 comment $a^2-b^2 = x$ where $a,b,x$ are natural numbers@mixedmath I see, thanks a lot for the explanation. May 8 awarded Informed May 7 comment What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?Dear Alex, I edited the title of your question a little. Whenever possible, it is a good idea to have a very explicit title. May 7 revised What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?edited tags; edited title May 7 comment Show $\zeta_p \notin \mathbb{Q}(\zeta_p + \zeta_p^{-1})$@maliky0_o Sure, no problem :) May 7 answered Show $\zeta_p \notin \mathbb{Q}(\zeta_p + \zeta_p^{-1})$ May 6 awarded Caucus May 1 reviewed Approve suggested edit on If a maximal ideal $\mathfrak m$ is flat, then $\dim_k (\mathfrak m/\mathfrak m^2) \leq 1$ Apr 28 comment Intersection of smooth projective plane curves@GustavoMarra Dear Gustavo, I don't know if you receive any notifications after an answer is updated, but in any case, since you said in the above comment that you need the multiplicities of the points of intersection, at the suggestion of Georges Elencwajg I added the computations of the multiplicities to my previous answer. Apr 28 comment Intersection of smooth projective plane curves@GeorgesElencwajg Dear Georges, I have added the computation of the multiplicities as you suggested. I don't know if what I wrote is longer than what you had in mind, but with my knowledge it is the best I can do. At least I now have an Arturo Magidin style answer, maybe not in quality, but at least in length :) Apr 28 revised Intersection of smooth projective plane curvesadded 3546 characters in body Apr 28 comment Book in which Calculus is explained in the form of a Teacher-Student ConversationWell, if you like manga there's The Manga Guide to Calculus :) Apr 27 comment Intersection of smooth projective plane curvesDear Georges, thanks a lot for your comments. I will try to do that later today :)