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Oct
7
comment Some questions on the formation of the BSD conjecture
Hmm. I have read a nice paper of Franz Lemmermeyer with the title "Conics: A poor man's elliptic curves", where such analog is discussed. But I am still wondering how Tate found the analog of regulator on the elliptic curves. I don't think numerical computations will help to establish the refined BSD conjecture.
Oct
5
asked Some questions on the formation of the BSD conjecture
Sep
8
comment Integral point on certain cubic surfaces and rational parametric solutions
@guy-in-seoul: He discuss about heights in the last chapter in his book.
Sep
8
comment Integral point on certain cubic surfaces and rational parametric solutions
@guy-in-seoul: I did take a look at Manin's book on cubic forms, and the construction is just the one he introduces in the introduction. But I am not sure if he ever talks about something about integral points in his book.
Sep
7
comment Integral point on certain cubic surfaces and rational parametric solutions
@GerryMyerson: Hmm. The denominators in the constructions are polynomials of (at least) four variables, and I'm not sure what an obstruction will be to prevent these polynomials from taking small values.
Sep
7
asked Integral point on certain cubic surfaces and rational parametric solutions
Aug
20
accepted How to bound the following sum
Aug
20
comment How to bound the following sum
@Assaultous2: Terence Tao once wrote on moebius function in his blog, and he stated that $\{x/i\}$ has bounded variation, which is key to the proof of the identity $\sum\mu(n)/n=0$. The statement of Tao is the motivation of this question.
Aug
20
asked How to bound the following sum
Jul
27
awarded  Popular Question
Jul
2
awarded  Curious
Apr
19
comment Compute $I=\int_0^{+\infty}\frac{\arctan(t)}{e^{\pi t}-1}dt$
Nice answer. This is the second Binet's formula
Apr
6
revised Prove $\int_{0}^\infty \frac{1}{\Gamma(x)}\, \mathrm{d}x = e + \int_0^\infty \frac{e^{-x}}{\pi^2 + \ln^2 x}\, \mathrm{d}x$
added 1 characters in body
Apr
6
answered Prove $\int_{0}^\infty \frac{1}{\Gamma(x)}\, \mathrm{d}x = e + \int_0^\infty \frac{e^{-x}}{\pi^2 + \ln^2 x}\, \mathrm{d}x$
Apr
5
comment Prove $\int_{0}^\infty \frac{1}{\Gamma(x)}\, \mathrm{d}x = e + \int_0^\infty \frac{e^{-x}}{\pi^2 + \ln^2 x}\, \mathrm{d}x$
As far as I know(from the book "Mathmatical Constant" of S.R.Finch, p263-p264), this formula was discovered by Ramanujan. Hardy proved a generalized version of this formula in his paper "Another formula of Ramanujan", J.London Math.Soc. (1937) s1-12 (4): 314-318.
Apr
4
awarded  Nice Answer
Apr
3
suggested suggested edit on Demonstrate that $\displaystyle \frac{(2n - 2)!!}{(2n - 3)!!} \simeq 1.7 \sqrt{n}$
Mar
30
comment Help in finding a definite integral
Gamma function may help you.
Mar
29
revised sum of three cubes and parametric solutions
[Edit removed during grace period]
Mar
29
revised sum of three cubes and parametric solutions
added 266 characters in body