User pbs - Mathematics Stack Exchange

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	620 reputation	bio	website		visits	member for	1 year, 4 months
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2

7

votes

1

answer

252

views

Is it possible to express $e$ in terms of $\pi$ algebraically and vice-versa?

transcendental-numbers

sep 2 at 22:56 pbs 620

1

5

votes

4

answers

137

views

Are Taylor series and power series the same “thing”?

may 15 at 22:45 Brad 1,381

3

5

votes

1

answer

181

views

Derivative of the Riemann zeta function for $Re(s)>0$.

analytic-number-theory riemann-zeta

dec 18 at 8:18 pbs 620

3

5

votes

2

answers

528

views

Cauchy's residue theorem with an infinite number of poles

complex-analysis analysis

oct 1 at 11:26 pbs 620

1

5

votes

1

answer

235

views

proof that $e^x$ is a transcendental function of $x$?

transcendental-numbers

aug 25 at 15:04 pbs 620

2

5

votes

1

answer

142

views

Zeta-like function with offset

sequences-and-series zeta-functions

aug 4 at 16:30 pbs 620

4

votes

2

answers

44

views

Radius of convergence of the Bernoulli polynomial generating function power series.

complex-analysis analysis bernoulli-numbers

may 14 at 22:38 TCL 5,355

2

4

votes

1

answer

66

views

Inverse Laplace Transform of $(s+1)/z^s$

laplace-transform

mar 17 at 16:07 pbs 620

1

4

votes

2

answers

164

views

Lebesgue integral and sums

lebesgue-integral

dec 13 at 1:19 Giuseppe Negro 4,775

4

votes

1

answer

86

views

Is the Glaisher–Kinkelin constant transcendental?

analytic-number-theory transcendental-numbers

aug 30 at 4:23 Gerry Myerson 85.9k

4

votes

2

answers

198

views

Evaluate $\int_0^\infty (u\log(a^2+u^2))/(e^u-1)\, du$

integral definite-integral

aug 12 at 3:10 J. M. 38.9k

3

votes

3

answers

137

views

Is every definite integral unique up to change of variable?

calculus integration definite-integral

dec 12 at 8:53 pritam 4,499

3

votes

1

answer

205

views

Help proving the primitive roots of unity are dense in the unit circle.

general-topology

aug 22 at 7:51 celtschk 4,528

3

votes

5

answers

190

views

Is a countable set $A$ dense in an uncountable set $B$ by analogy of $\mathbb{Q}$ being dense in $\mathbb{R}$?

general-topology elementary-set-theory

aug 20 at 13:12 rschwieb 21k

3

votes

1

answer

70

views

Trace and Norm maps on differential extensions

field-theory differential-algebra

aug 13 at 5:32 anon 40k

2

votes

0

answers

43

views

Evaluate $\int_0^\tau \frac{t\sin(t z)}{z\cos(t z)-\sin(tz)}\text{d}t$

definite-integral residue-calculus

may 1 at 8:09 pbs 620

2

votes

0

answers

74

views

How to perform an inverse Laplace transform

integration laplace-transform

jan 20 at 11:38 pbs 620

2

votes

1

answer

214

views

Leibniz rule of a product

multivariable-calculus derivatives

jan 18 at 15:32 pbs 620

2

votes

1

answer

121

views

Residue calculus question

complex-analysis residue-calculus

nov 14 at 22:29 Ahsan 409

2

votes

2

answers

62

views

Proving two expressions can never be simultaneously satisfied

linear-algebra analysis problem-solving

sep 25 at 19:15 André Nicolas 161k

2

votes

1

answer

108

views

General question about solving equations involving a definite integral

integral-equations

aug 26 at 12:36 pbs 620

2

votes

2

answers

205

views

Weierstrass Factorization Theorem

real-analysis complex-analysis

aug 14 at 8:42 Georges Elencwajg 44.9k

1

vote

1

answer

60

views

Permutations of $[n]$ with $k$ peaks

combinatorics generating-functions

may 20 at 6:26 pbs 620

1

vote

1

answer

35

views

What is the radius of convergence of a power series in two variables?

complex-analysis analysis several-complex-variables

may 14 at 19:52 pbs 620

1

vote

0

answers

49

views

Laplace transform curiosity

laplace-transform

feb 5 at 12:14 pbs 620

1

vote

2

answers

113

views

Sum of Stieltjes constants

analytic-number-theory riemann-zeta

jan 13 at 1:25 stopple 973

1

vote

1

answer

84

views

Is it possible for the value of a residue to be $\infty$?

complex-analysis analysis

oct 3 at 17:11 pbs 620

1

vote

1

answer

107

views

Functions of a complex variable and the Cauchy-Riemann equations

complex-analysis

sep 20 at 17:52 student 1,367

1

vote

2

answers

118

views

What does it mean for an expression to hold “identically”?

real-analysis trigonometry polynomials

aug 23 at 10:12 Michael Hardy 48.2k

1

vote

1

answer

110

views

simplifying a product formula (similar to Euler's sine product)

real-analysis complex-analysis products

jul 27 at 0:50 J. M. 38.9k

pbs

37 Questions