User MCS

12 votes

1 answer

1k views

Is the p-adic Lindemann-Weierstrass Conjecture still open?

asked Dec 12, 2018 at 21:10

12 votes

4 answers

3k views

Is there a set of positive integers of density 1 which contains no infinite arithmetic progression?

asked Jun 6, 2019 at 21:28

11 votes

2 answers

3k views

The Construction of a Basis of Holomorphic Differential 1-forms for a given Planar Curve

asked Mar 6, 2019 at 21:15

8 votes

0 answers

178 views

Padé Approximants of Power Series with Natural Boundaries

asked May 23, 2019 at 21:53

8 votes

0 answers

339 views

The Cauchy Transform, and the convergence of the Fourier-Stieltjes transforms of a sequence of measures

asked Jan 9, 2021 at 21:42

8 votes

0 answers

695 views

In need of help with parsing non-Archimedean function theory

asked Dec 1, 2021 at 23:55

6 votes

2 answers

337 views

Existence of radial limits of products of certain power series and $1-x$

asked Jun 21, 2019 at 20:21

6 votes

1 answer

339 views

Theory of integration for functions from $\mathbb{Z}_{p}$ to $\mathbb{Z}_{q}$ for distinct primes $p,q$

asked Jan 31, 2020 at 1:23

5 votes

1 answer

290 views

Overconcentration of Poles on the Circle of Convergence of a Power Series with Bounded Coefficients

asked Jun 12, 2019 at 1:04

5 votes

2 answers

707 views

Growth of Mordell-Weil Rank of Elliptic Curves over Field Extensions

asked Feb 24, 2019 at 19:30

4 votes

1 answer

344 views

Asymptotic analysis using the p-adic Mellin Transform?

asked Feb 7, 2020 at 6:36

4 votes

2 answers

635 views

The formula for (and computation of) the inverse p-adic mellin transform

asked Feb 9, 2020 at 0:20

4 votes

0 answers

52 views

On Defining the Fourier Transform and Performing Changes of Variable on Quotient Subgroups of $\mathbb{Q}/$

asked Jun 27, 2019 at 21:02

3 votes

2 answers

452 views

On the relation between the asymptotics of a Dirichlet series' coefficients and the series' analytic continuability

asked Aug 18, 2019 at 20:58

3 votes

0 answers

342 views

A.C.M. van Rooij's Non-archimedean functional analysis (1978) is very out-of-print! Anyone know of any good alternatives?

asked Jun 13, 2020 at 21:23

2 votes

0 answers

65 views

Closure of the space of holomorphic functions on the open disk in $\mathbb{C}$ with respect to a Hardy-space-like semi-norm

asked Sep 3, 2019 at 23:40

2 votes

0 answers

194 views

On a generalization of the Möbius function from number theory

asked Dec 7, 2020 at 22:07

2 votes

0 answers

89 views

Clarification on a potential typo in a theorem from Garnett's Bounded Analytic Functions (2007)

asked Dec 15, 2020 at 21:45

2 votes

0 answers

266 views

A "multi-adic" absolute value / topology?

asked Jun 10, 2021 at 0:05

2 votes

0 answers

148 views

Poisson Summation Formula for Square-Integrable Functions on Locally Compact Abelian Groups

asked Jun 28, 2019 at 21:59

2 votes

0 answers

409 views

Riemann Surfaces of Infinite Genus and Transcendental Curves

asked Mar 27, 2019 at 20:58

2 votes

0 answers

121 views

Calculus over Function Fields of Characteristic Zero

asked Apr 3, 2019 at 19:42

2 votes

2 answers

479 views

Boundary behavior of power series vs. boundedness of partial sums

asked Feb 4, 2018 at 2:52

1 vote

1 answer

166 views

Non-Archimedean Lebesgue dominated convergence theorem

asked Dec 31, 2021 at 0:25

1 vote

0 answers

62 views

Properties of the Fourier Transform of Countably Supported Functions on $[0,1)$

asked Dec 16, 2020 at 22:08

1 vote

0 answers

96 views

Is every positive-density set of positive integers almost rational?

asked Oct 8, 2019 at 19:58

1 vote

0 answers

53 views

A different kind of weighted Hardy space

asked Nov 30, 2019 at 0:01

1 vote

0 answers

67 views

Approximate identities on the unit disk and going beyond a power series' radius of convergence

asked Sep 25, 2020 at 23:43

1 vote

0 answers

219 views

Asymptotic inverses and de Bruijn conjugates (etc.) for complex-valued functions

asked Oct 10, 2020 at 21:02

0 votes

0 answers

173 views

Function Spaces on the Open Unit Disk defined by Hardy Space norms

asked Dec 19, 2020 at 23:17

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34 Questions

Is the p-adic Lindemann-Weierstrass Conjecture still open?

Is there a set of positive integers of density 1 which contains no infinite arithmetic progression?

The Construction of a Basis of Holomorphic Differential 1-forms for a given Planar Curve

Padé Approximants of Power Series with Natural Boundaries

The Cauchy Transform, and the convergence of the Fourier-Stieltjes transforms of a sequence of measures

In need of help with parsing non-Archimedean function theory

Existence of radial limits of products of certain power series and $1-x$

Theory of integration for functions from $\mathbb{Z}_{p}$ to $\mathbb{Z}_{q}$ for distinct primes $p,q$

Overconcentration of Poles on the Circle of Convergence of a Power Series with Bounded Coefficients

Growth of Mordell-Weil Rank of Elliptic Curves over Field Extensions

Asymptotic analysis using the p-adic Mellin Transform?

The formula for (and computation of) the inverse p-adic mellin transform

On Defining the Fourier Transform and Performing Changes of Variable on Quotient Subgroups of $\mathbb{Q}/$

On the relation between the asymptotics of a Dirichlet series' coefficients and the series' analytic continuability

A.C.M. van Rooij's Non-archimedean functional analysis (1978) is very out-of-print! Anyone know of any good alternatives?

Closure of the space of holomorphic functions on the open disk in $\mathbb{C}$ with respect to a Hardy-space-like semi-norm

On a generalization of the Möbius function from number theory

Clarification on a potential typo in a theorem from Garnett's Bounded Analytic Functions (2007)

A "multi-adic" absolute value / topology?

Poisson Summation Formula for Square-Integrable Functions on Locally Compact Abelian Groups

Riemann Surfaces of Infinite Genus and Transcendental Curves

Calculus over Function Fields of Characteristic Zero

Boundary behavior of power series vs. boundedness of partial sums

Non-Archimedean Lebesgue dominated convergence theorem

Properties of the Fourier Transform of Countably Supported Functions on $[0,1)$

Is every positive-density set of positive integers almost rational?

A different kind of weighted Hardy space

Approximate identities on the unit disk and going beyond a power series' radius of convergence

Asymptotic inverses and de Bruijn conjugates (etc.) for complex-valued functions

Function Spaces on the Open Unit Disk defined by Hardy Space norms