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M.G.

  • $2 \pi i$ is the perimeter of a circle with radius $\sqrt{-1}$.
  • Mathematics is an exact art.
  • I often find myself browsing old MO topics.
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Top Questions
69 votes

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

nt.number-theory analytic-number-theory big-list l-functions class-field-theory asked May 24, 2010 at 19:39
mathoverflow.net

62 votes

What were the main ideas and gaps in Yoichi Miyaoka's attempted proof (1988) of Fermat's Last Theorem?

nt.number-theory reference-request dg.differential-geometry ho.history-overview arithmetic-geometry asked Aug 4, 2015 at 16:18
mathoverflow.net

26 votes

Universality of zeta- and L-functions

complex-analysis fa.functional-analysis ca.analysis-and-odes zeta-functions l-functions asked Jan 3, 2010 at 2:44
mathoverflow.net

19 votes

Techniques to compute complex integrals over infinite contours

complex-analysis reference-request asked Feb 13, 2011 at 15:01
math.stackexchange.com

18 votes

Probability in number theory

pr.probability nt.number-theory reference-request big-list asked Jan 26, 2010 at 4:33
mathoverflow.net

16 votes

A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$?

co.combinatorics ds.dynamical-systems generating-functions weyl-algebra differential-algebra asked Feb 8, 2022 at 0:30
mathoverflow.net

15 votes

How to get a stairway symbol in math mode?

math-mode symbols asked Sep 1, 2018 at 10:14
tex.stackexchange.com

15 votes

Is there Cauchy-Goursat for $1$-cycles without invoking winding numbers?

at.algebraic-topology cv.complex-variables mathematics-education asked Apr 7, 2018 at 22:55
mathoverflow.net

15 votes

Dirichlet series expansion of an analytic function

dirichlet-series complex-analysis reference-request asked Jul 7, 2010 at 23:13
mathoverflow.net

14 votes

How complicated can the first integral homology of planar domains be?

at.algebraic-topology gt.geometric-topology cv.complex-variables homological-algebra asked Jul 14 at 18:36
mathoverflow.net

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Top Answers
51
Nonequivalent definitions in Mathematics
mathoverflow.net

34
Mathematical software wish list
mathoverflow.net

31
Mathematical software wish list
mathoverflow.net

29
Suggestions for a good Measure Theory book
mathoverflow.net

25
Nonequivalent definitions in Mathematics
mathoverflow.net

23
Are there only two smooth manifolds with field structure: real numbers and complex numbers?
mathoverflow.net

21
References for Riemann surfaces
mathoverflow.net

16
Studying topology: which first, algebraic or differential?
mathoverflow.net

16
Is there a "weak" fundamental theorem of algebra for matrices?
mathoverflow.net

14
Is every group the automorphism group of a ring?
mathoverflow.net

13
Theorems for nothing (and the proofs for free)
mathoverflow.net

13
Hodge decomposition in elliptic complexes
mathoverflow.net

12
Derivations on the continuous functions of a manifold
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12
Integration in Banach algebra
mathoverflow.net

11
Has there been further work on Bender-Brody-Müller approach to RH?
mathoverflow.net

11
How does one complexify a real $n$-dimensional Riemannian manifold $(M,g)$?
mathoverflow.net

10
Spaces with a quasi triangle inequality
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10
Notation for $\log \log \cdots \log n$?
mathoverflow.net

9
What is the state of research on Horn Angles?
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9
Mathematical software wish list
mathoverflow.net

9
Why do winding numbers replace two-chains in the proof of Cauchy's theorem?
mathoverflow.net

8
Extracting Dirichlet series coefficients
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8
In which paper Noether proved her famous theorem in invariant theory?
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8
What is an application of Goursat's stronger version of Cauchy's theorem?
mathoverflow.net

8
Composition and compactly generated spaces
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7
Generalizing contour integration to quaternions and bicomplex numbers
mathoverflow.net

7
Recommendations for getting into sheaves with emphasis on differential geometry and algebraic topology
mathoverflow.net

6
Asymptotic expansion of an integral
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6
Is Riemann zeta function injective in some strips $a<\Re(s)<b$, where $0\leq a<b \leq 1$?
mathoverflow.net

6
Proof that every three-dimensional Einstein manifold has constant curvature
mathoverflow.net

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