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Fourier expansions of Eisenstein series as a Poincare series for the Fuchsian group

In Miyake's book, Modular Forms, Ch 2.6, thm 2.6.9, there is a statement which relate to Fourier expansion of the Eisenstein series. Let $Gamma$ be a Fuchsian group, ...

1

Mathematics Asked by LWW on 2 weeks ago

Is eigenvalue multiplied by constant also an eigenvalue?

Let $A$ be an $n × n$ matrix. If $lambda$ is an eigenvalue of $A$ and $c$ is a nonzero scalar, then $clambda$ is...

1

Mathematics Asked by Ruby Cho on 2 weeks ago

Can someone explain the proof of the following linear differential equation

I was working through a robotics book, and came across the following equation, solution, and proof where $A$ is a $n times n$ constant matrix, and $x_0...

3

Mathematics Asked by Lucas G on 2 weeks ago

Matroid induced by a matrix where a circuit's nullspace is spanned by a non-negative vector

Let $A = [a_1, dots, a_n] in mathbb{R}^{m times n}$, $[n] = {1, dots, n}$, and $mathcal{I} subset mathcal{P}([n])$ be the set of all $I in...

1

Mathematics Asked by kaba on 2 weeks ago

hot / cold copper water pipes located above main electrical panel

The Pipes are about 7.5 feet above the basement floor. I am in Canada. . The pipes are about total 2 feet in...

2

Home Improvement Asked on 2 weeks ago

Fixing shower tile to repair possible water damage

My bathroom is around 15 years old and my shower tiles are starting to show some water damage. I am a bit worried that this is leaking and may cause...

3

Home Improvement Asked on 2 weeks ago

Are ppr pipes not worth the money?

I installed PPR pipes in my house for water supply and now after investing so much of money and time a person today told me that plastic pipes are not...

1

Home Improvement Asked on 2 weeks ago

How can I protect a shed floor from ground moisture?

I needed some sort of workshop/storage/playhouse, so I thought I’d build a shed with three sections:Workshop - 2.4m x2.4mStorage - 1.2m x 2.4mPlayhouse - 2.4m x 2.4mNow I intend on...

3

Home Improvement Asked on 2 weeks ago

Should my patio heater rod wobble?

I am talking about a patio heater which looks something like this Now, it is operationally all fine and I have had no issues for last two...

1

Home Improvement Asked on 2 weeks ago

Code compliance of custom wooden surface "conduit" in garage

TL;DR: Would it be code compliant and safe to build a narrow wooden box to run along the base of a garage wall to protect runs of numerous electrical wires?...

2

Home Improvement Asked on 2 weeks ago

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