All Questions
4
questions
3
votes
1
answer
99
views
Confusion about definition Petersson product
I'm taking a course on modular forms, but my background in analysis is not that strong (I have taken complex analysis and measure theory before however). Therefore I'm a bit confused about the ...
5
votes
1
answer
130
views
How to interpret this sum in Tate's thesis?
Let $f$ be a Schwartz function on the ring of adeles $\mathbb{A}$ of a number field $K$, and $d^\times x$ the multiplicative Haar measure on $\mathbb{A}^\times$. One can embed $K^\times$ diagonally in ...
- 121
3
votes
1
answer
415
views
Counterexamples showing natural density is not a measure
Natural density $d$ measures how large a subset of natural numbers is, as defined here.
There are some examples showing natural density is not countably summable. For instance,
$$
0=\sum_{k=0}^\...
- 7,534
0
votes
1
answer
188
views
What's a "Basis of Measurable Sets?"
As defined here http://modular.math.washington.edu/129/ant/html/node82.html
Using the notation in the link, one takes sets of the form $\prod\limits_{\lambda} M_{\lambda}$, where each $M_{\lambda}$ ...
- 34.3k