Adrián Barquero

College Station, TX

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Interesting results easily achieved using complex numbers

complex-analysis complex-numbers asked Sep 18, 2010 at 23:54

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46 votes

Relation between the Dedekind Zeta Function and Quadratic Reciprocity

number-theory algebraic-number-theory asked Apr 14, 2011 at 16:37

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38 votes

Geometric intuition behind The Mordell Conjecture

number-theory algebraic-geometry arithmetic-geometry asked Apr 28, 2011 at 18:15

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34 votes

Why is it "easier" to work with function fields than with algebraic number fields?

algebraic-geometry algebraic-number-theory arithmetic-geometry asked Jul 21, 2011 at 3:07

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32 votes

When is an elliptic integral expressible in terms of elementary functions?

calculus integration special-functions asked Dec 28, 2010 at 17:02

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30 votes

Why in an inconsistent axiom system every statement is true? (For Dummies)

logic intuition asked Apr 2, 2011 at 2:34

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21 votes

Proving that the genus of a nonsingular plane curve is $\frac{(d-1)(d-2)}{2}$

algebraic-geometry algebraic-curves asked Jun 15, 2011 at 2:20

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20 votes

Maximal Ideals in the ring k[x1,...,xn ]

ac.commutative-algebra ag.algebraic-geometry polynomials asked May 30, 2010 at 20:25

mathoverflow.net

19 votes

Which results depend on the irrationality of $\pi$?

soft-question irrational-numbers pi asked May 1, 2012 at 0:19

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19 votes

Convergence of the infinite product $\prod_{n = 1}^{\infty} \frac{z - \alpha_n}{z - \beta_n}$

complex-analysis asked Mar 5, 2012 at 2:54

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Top Answers

Why is negative times negative = positive?

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Why is the localization at a prime ideal a local ring?

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The product of $n$ consecutive integers is divisible by $n$ factorial

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Calculus proof for the area of a circle

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Can someone explain the algorithm for composition of cycles?

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Favorite popular math book

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Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$?

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Solving the equation $x e^x = e$

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Learning schemes

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How to Prove that if $f(z)$ is entire, and $f(z+i) = f(z), f(z+1) = f(z)$, then $f(z)$ is constant?

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Prove that a matrix is invertible

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What are some correct results discovered with incorrect (or no) proofs?

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Integral points on an elliptic curve

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Integral of $1/\sinh(x)$

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Book/tutorial recommendations: acquiring math-oriented reading proficiency in German

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Mathematics and autodidactism

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Why are the empty set and the set of all real numbers both open and closed?

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Modus Operandi. Formulae for Maximum and Minimum of two numbers with a + b and $|a - b|$

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Good book for self study of functional analysis

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About algebraic integer and algebraic number

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If $A$ is an $n \times n$ matrix such that $A^2=0$, is $A+I_{n}$ invertible?

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Beginner's text for Algebraic Number Theory

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Class number and Narrow Class Number

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Prove that the Galois group of $x^n-1$ is abelian over the rationals

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Why $ \lim_{n \rightarrow \infty}\frac{(5n^3-3n^2+7)(n+1)^n}{n^{n+1}(n+1)^2} =5e$?

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Gaussian Integer Cannot be Ordered

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Undergraduate/High-School-Olympiad Level Introductory Number Theory Books For Self-Learning

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Finding roots of the fourth degree polynomial: $2x^4 + 3x^3 - 11x^2 - 9x + 15 = 0$.

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Multivariate polynomials have infinitely many zeroes

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What are good books/other readings for elementary set theory?

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