Recent content by Borogoves
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
please try to correct the latex, I cannot get it to display my results.- Borogoves
- Post #12
- Forum: Linear and Abstract Algebra
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
I have mailed my results to a few professors ,none of whom have responded. applying mellins transform to get: \zeta (s) = \frac{1}{s-1} - s \int_0^1 h(x) x^{s-1} \, dx \phi : \kappa \longrightarrow\sigma where h(x) is the gauss kuzmin wirsing operator \int_0^(pi/2)\ 1\fract...- Borogoves
- Post #11
- Forum: Linear and Abstract Algebra
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
I define zeta to be: 1/s-1 \-s \int_{0}^{\1}dx\h(x)x^s-1 Evidently, somebody is attempting to edit my posts.- Borogoves
- Post #9
- Forum: Linear and Abstract Algebra
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
I was refferring to the real zeroes. stop the niggling remarks- Borogoves
- Post #7
- Forum: Linear and Abstract Algebra
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
latex has not displayed as intended. It is a definition, it cannot be false. {{a+ib}}>1 where the former is the norm. a(bc)=/= (ab)c and a(ab)=a^b (ab)b=ab^2 I'm claiming that the integral is bound by ~ (x^1/3) /logx where x is large, say >10^10 1/log b+ 2/log b + 3!/logb +...- Borogoves
- Post #4
- Forum: Linear and Abstract Algebra
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Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
let \zeta(z)=\sum_{n \in \mathbb{N}} n^{-z} ~ {{a+ib}}>1 then, \zeta(z)=0 iff z=-2n where n is a natural number. pi(x)=\int_0^\infty\frac{dx}{\xS[x+1]} gamma(x+) where S[x+1]= \sum_{n \in \mathbb{N}} n^-{x+1} I have discovered that pi(x)=\int_a^b\frac{dx}/logx = 1/log b+ 2/log b...- Borogoves
- Thread
- Riemann Riemann hypothesis
- Replies: 15
- Forum: Linear and Abstract Algebra
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Undergrad What is the Definition and Significance of Dimension in Mathematics?
Why should he respond ? for the same reason that he chooses to respond to other members, whatever that reason may be. It's called equality. The trouble is, the question itself is rather vague, and therefore is prone to various interpretations. It was certainly not my intention to cause this...- Borogoves
- Post #16
- Forum: General Math
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Graduate Accelerating Charges: Classical Theory and Light Radiation
Oh don't be so arrogant young man. The Poynting vector is locally invariant. _________________________________________________________________- Borogoves
- Post #35
- Forum: Electromagnetism
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Undergrad What is the Definition and Significance of Dimension in Mathematics?
I can see that you've deliberately deviated from the question which I posed, namely, how physicists define time. Furthermore, the response you gave to this gentleman is way too advanced. I think what HallsoIvy said sums it up nicely.- Borogoves
- Post #11
- Forum: General Math
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Undergrad What is the Definition and Significance of Dimension in Mathematics?
Which is meaningless. Too vague !- Borogoves
- Post #7
- Forum: General Math
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Undergrad What is the Definition and Significance of Dimension in Mathematics?
As a non physicist, I ask you, how do you physicists define time ?- Borogoves
- Post #5
- Forum: General Math
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Graduate Is There a Link Between Genius Mathematicians and Mental Illness?
I'll get to the rest of this in a minute, but to see what's wrong with this argument consider a similar one: What would you say is enough to prove a theorem? It's not an easy question to answer, since, many mistakes are made in proving theorems, and we still do not know every theorem of...- Borogoves
- Post #33
- Forum: General Math
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High School Lesson ideas for 10-11 year old Children (MATHS)
I have been diagnosed with various mental conditions in the past, but of course these so called psychiatrists are wrong. It is obviously not good to confuse the kids, but teaching them to manipulate powers is surely a bit much for third grade ? You see the trouble with you is that you are...- Borogoves
- Post #12
- Forum: General Math
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High School Lesson ideas for 10-11 year old Children (MATHS)
And in what way will that benefit the children ? There could be a total of 100 children, and yet none of them sharing a birthday. There could be 10 people, and 5 sharing birthdays. Can you see now how speculative this is ? It will only confuse the children.- Borogoves
- Post #9
- Forum: General Math
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Graduate Magnet is (kind-of) incredible
It does not actually even make sense to say that there is, or is no friction in the microscopic world.- Borogoves
- Post #14
- Forum: Electromagnetism