Joe Silverman's user avatar
Joe Silverman's user avatar
Joe Silverman's user avatar
Joe Silverman
  • Member for 13 years, 3 months
  • Last seen this week
12 votes

Smart elliptic curve rational point search given Reg*#Sha

12 votes

Getting a bound on the coefficients of the factor polynomial

12 votes

Division by 3 on elliptic curve

12 votes

Upper bound on answer for Pell equation

12 votes
Accepted

Why does genus control the number of points

12 votes
Accepted

Weak Mordell-Weil over number fields

12 votes

Distinct numbers in multiplication table

12 votes
Accepted

Fermat's Last Theorem "$\pm k$"

12 votes

How close can powers of coprime integers get?

12 votes

Fields of Definition of Elliptic Curves

12 votes
Accepted

Greatest common divisor of $(a^n+1,b^n+1)$

12 votes

Tweetable Mathematics

12 votes

Does the expression $x^4 +y^4$ take on all values in $\mathbb{Z}/p\mathbb{Z}$?

12 votes
Accepted

Weak Mordell-Weil for EC using Chevalley-Weil theorem

12 votes
Accepted

What is a function field analog of Giuga's conjecture?

11 votes

Proof of $V\cong \overline{K} \otimes_{K} V_K$ using $H^1(G_{\overline{K}/K},\operatorname{GL}_n(K))=0$

11 votes

On the equation $y^2 = x^3 - z^3$

11 votes

Prove $\frac{\text{Area}_1}{c_1^2}+\frac{\text{Area}_2}{c_2^2}\neq \frac{\text{Area}_3}{c_3^2}$ for all primitive Pythagorean triples

11 votes
Accepted

What is the essence of the constant factor in the standard definitions of the discriminant?

11 votes

Estimate number of solutions in the Roth's theorem

11 votes

If $X$ is a genus $g\geq 2$ curve over a number field $K$, then is there a bound on $X_L(L)$ for $L/K$ that depends only on $X$ and $[L:K]$?

11 votes
Accepted

Solutions of $y^2=\binom{x}{0}+2\binom{x}{1}+4\binom{x}{2}+8\binom{x}{3}$ for positive integers $x$ and $y$

11 votes
Accepted

Intersections in $\mathbb{P}^1\times\mathbb{P}^1$

11 votes

Geometric / physical / probabilistic interpretations of Riemann zeta($n>1$)?

11 votes

Number of polynomial terms for certain degree and certain number of variables

11 votes

Integer dynamics hitting infinitely many primes

11 votes

relation between Faltings height and periods

11 votes

Bounds on coefficients of factors of a multivariate polynomial

11 votes
Accepted

The j-function and Pell equations

11 votes
Accepted

Torus based cryptography

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