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Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


Feb
21
comment Character of continuous series representation of GL(2)
very nice, but it sadly does not solve my problem. Our computations are not that different, my integral along $N(C)$ is precisely what you denote as the orbital integral, because $\phi$ is $U(2)$-conjugation variant. Btw, the third equality from the end you have lost the cardinality of the Weyl group?
Feb
21
comment Objections to and arguments for the simplicity of all Riemann zeros
This would require an effective version of the universality depending upon $\epsilon_0$. To my knowledge, there are none or only horrible estimates known in that direction (Steuding's book discusses this or something similar).
Feb
21
revised Objections to and arguments for the simplicity of all Riemann zeros
added 115 characters in body
Feb
21
revised Objections to and arguments for the simplicity of all Riemann zeros
added 675 characters in body
Feb
21
answered Objections to and arguments for the simplicity of all Riemann zeros
Feb
21
comment Character of continuous series representation of GL(2)
I am not sure how this translates in this context? Any suggestions?
Feb
20
revised Character of continuous series representation of GL(2)
added 25 characters in body
Feb
20
revised Character of continuous series representation of GL(2)
added 20 characters in body
Feb
20
asked Character of continuous series representation of GL(2)
Feb
20
comment Self-adjoint operator
Functional calculus plus an integral equality, I'd guess. So you don't need a reference. Is there an additional condition on the spectrum of $B$ for convergence issues?
Feb
19
comment Invariants of an L-function
I would say no and give an example related to Maass forms, but then I don't know how "etc." is defined.
Feb
19
revised Supercuspidal with Iwahori fixed vector
added 275 characters in body
Feb
19
asked Supercuspidal with Iwahori fixed vector
Feb
13
comment Density of characters
Oh, I should assume J is positive valued.... every functional can be writen as the linear comb of four positive funcs.
Feb
13
comment Iwahori-Hecke algebras as endomorphism (or convolution) algebra?
Yes, as the right and left B invariant functions on G. look at Piateski-Shapiro... Gl2 over a finite field. Sorry, i didn't read carefully the question. You will be fine if the the characteristic of the coefficient field doesn't divide the cardinality of the group.If u unckeck my answer, I can remove it and put it as a comment.
Feb
10
comment Why are modular forms (usually) defined only for congruence subgroups?
Yes, I recall what I claim is true for PGL(2) only. Thank you.
Feb
9
comment explicit formula for Riemann zeros counting function
What is am? argument?
Feb
6
comment What function is “$U_{\nu}(\cdot, \cdot)$”?
Have you checked integral tabels, see e.g. here: mathoverflow.net/questions/99027/…
Feb
6
comment What function is “$U_{\nu}(\cdot, \cdot)$”?
$U_n(x)$ denotes sometimes the $n$-th Chebyshev polynomial of the 2nd kind. It is related to the representation theory of $SU(2)$. Does your integral originate from representation theory, say the group $GL(2,C)$?
Feb
6
comment Using Eichler-Selberg trace formula to compute dimension of modular forms?
I meant to say one wants to work with pseudo matrix coefficients where KL use matrix coefficients:/