# user70520

Unregistered less info
reputation
16
bio website location age member for 1 years seen Oct 27 '13 at 5:35 profile views 116

# 55 Questions

 11 $g(x+y)+g(x)g(y)=g(xy)+g(x)+g(y)$ for all $x,y$. 9 The integer $c_n$ in $(1+4\sqrt[3]2-4\sqrt[3]4)^n=a_n+b_n\sqrt[3]2+c_n\sqrt[3]4$ 7 Is $\sum_{k=0}^{\infty}\frac1{2^{k^2}}$ rational? Transcendental? 7 What is the limit $\lim\limits_{(x,y)\to(1,1),\ (x,y)\in S}(1-x^py^q)(1-x^ry^s)\sum_{p/q\le m/n\le r/s}x^my^n$? 7 For which integers x, y is $2^x + 3^y$ a square of a rational number?

# 629 Reputation

 +5 Contour integral $\int_{|z|=1}\exp(1/z)\sin(1/z)dz$ +5 Prove that if $N$ is a null set in $\mathbb{R}^n$, then there exists a Borel null set $N'$ such that $N\subset N'$. +5 Trace and cyclotomic field +5 Radius of convergence of Maclaurin series for $\frac1{\sin z}-1/z+\frac{2z}{z^2-\pi^2}$

This user has not answered any questions

# 77 Tags

 0 analysis × 19 0 number-theory × 8 0 real-analysis × 18 0 linear-algebra × 7 0 contest-math × 18 0 sequences-and-series × 7 0 elementary-number-theory × 10 0 abstract-algebra × 7 0 measure-theory × 10 0 galois-theory × 6

# 1 Account

 Mathematics 629 rep 16
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.816933810710907, "perplexity": 1952.422098674143}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-15/segments/1398223205375.6/warc/CC-MAIN-20140423032005-00341-ip-10-147-4-33.ec2.internal.warc.gz"}