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 ...
2
votes
0
answers
85
views
Exchanging the order of integration without Fubini-Tonnelli in an integral related to Waring's problem
My question relates to the evaluation of the singular integral for Waring's problem, following pp. 460 of Iwaniec and Kowalski's "Analytic Number Theory".
Background:
There, we are ...
- 23
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
9
votes
1
answer
2k
views
Euler's summation by parts formula
I'm beginning analytic number theory and I see this formula in Apostol's book : If $f$ has a continuous derivative $f'$ on the interval $[y,x]$, where $0 < y < x$, then
$$
\sum_{y < n \le x} ...
- 41.8k