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Questions tagged [riemann]

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Was it after Riemann's death that Weierstrass gave a counterexample to Riemann's mapping theorem?

Since the period when Weierstrass pointed out the flaw in the proof of Riemann's mapping theorem is reported differently in different documents, I have doubts about the exact timing. When exactly did ...
Lie.'s user avatar
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4 votes
1 answer
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Why is the Riemann conjecture called the Riemann hypothesis?

Wikipedia’s “List of conjectures” page lists 128 mathematical conjectures. All conjectures are called “conjecture” except two: Riemann hypothesis and Schinzel’s hypothesis. I think there is a ...
zeynel's user avatar
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4 votes
2 answers
242 views

How much ground was prepared for Riemann so that he could conjecture Riemann hypothesis?

Although I do not doubt in Riemann˙s originality, I would like to know how much complex analysis was developed up to the day when Riemann conjectured what is today called Riemann hypothesis and how ...
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3 votes
1 answer
182 views

How did Gauss determine the number of primes?

In Brian Conrey's article on Riemann's hypothesis, one reads in the very beginning: On Christmas Eve 1849 Gauss wrote a letter to his former student Encke in which he described his thoughts about the ...
Hans-Peter Stricker's user avatar
3 votes
1 answer
67 views

Did Riemann take for granted the existence of a function that achieves the minimum in the ‘Dirichlet principle’?

Or did Riemann take for granted the existence of a function that achieves the minimum value under the special assumption that used the Dirichlet principle (the assumption of partial smoothness as ...
Lie.'s user avatar
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2 votes
2 answers
291 views

Origin of Riemann-Stieltjes Integral

What need (if there was any) created Riemann-Stieltjes integral? What did Riemann-Stieltjes integral want to attain?
Sensebe's user avatar
  • 675
1 vote
1 answer
298 views

From which university did Riemann acquired Ph.D?

Did Riemann get a Ph.D from the University of Berlin? Or did Riemann get his Ph.D from the University of Göttingen? I thought he had acquired it from the University of Berlin, but when I found out ...
Lie.'s user avatar
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1 vote
1 answer
250 views

Did Riemann invent the Riemann curvature tensor?

I'm pretty sure they weren't using tensors in the modern sense at that point, but to what extent did Riemann lay out the structure or significance underlying his eponymous tensor? In his habilitation ...
Adam Herbst's user avatar
1 vote
2 answers
141 views

To what extent were Riemann surfaces a precursor to algebraic geometry?

I read that Riemann started studying the so-called Riemann's surfaces in the second half of the 19th century, introducing tools like meromorphic functions and meromorphic 1-forms. The culmination of ...
Weier's user avatar
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1 vote
1 answer
174 views

What is Metric tensor's origin?

I was usually interested in metric tensor, So I have hard searched it, But most of what I was looking for was about the 'theory of relativity'. Even so, I can find information about mathematical ...
pokssin's user avatar
  • 309
1 vote
0 answers
104 views

Why Did Riemann Venture into Number Theory for the Riemann Hypothesis?

I’m exploring the history behind the Riemann Hypothesis and I found something interesting. We know that Bernhard Riemann was mainly focused on complex analysis, but he also wrote a very important ...
Metehan Turan's user avatar
1 vote
0 answers
518 views

Is there a transcript or audio recording of the lecture on Riemann Hypothesis by John Nash at Columbia University in 1959 anywhere?

The film A Beautiful Mind depicts this scene, and it is mentioned on wikipedia as well as many articles/books. John Nash famously gave a lecture to 250 mathemeticians at Columbia University in 1959 ...
Tzadkiel's user avatar
0 votes
2 answers
101 views

Did Riemann leave any books?

As far as I know, Riemann never left any books, but after accidentally discovering 'on the hypotheses which lie at the bases of geometry' registered as Riemann's book on Google, I began to wonder. Did ...
Lie.'s user avatar
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0 answers
40 views

Was Riemann's research style closer to the 'collaborative' style of Grothendieck and von Neumann?

Or was he more of an 'independent' style like his teacher Gauss? If you can give an objectively correct answer to this, what is the basis for it?
Lie.'s user avatar
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