bio  website  mat.ulaval.ca/hchapdelaine/… 

location  Quebec city  
age  36  
visits  member for  3 years, 10 months 
seen  5 hours ago  
stats  profile views  3,249 
5h

accepted  Characterizing the real analytic Eisenstein series 
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Characterizing the real analytic Eisenstein series
Well, by subtracting $\xi(2s)$ to $E(z,s)$ combined with some growth estimate "seems to be close" to saying that $\xi(2s)y^s$ is part of the constant term of the Fourier series $E(z,s)$. For example, if $s=3/4$ it says that $E(z,s)$ behaves asymptotically exactly like $\xi(3/2)\cdot y^{3/4}$. 
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Characterizing the real analytic Eisenstein series
Dear Luis, this is a nice characterization. Of course specifying partly what the constant term of the Fourier series is, is not as much conceptual as what I was hoping at first, but may be one cannot do better than that. 
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Characterizing the real analytic Eisenstein series
Do you have any precise idea on how to fix it? 
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Characterizing the real analytic Eisenstein series
Thanks Matt, this is good observation! Probably, one should put some explicit restrictions on the constant $C(s)$ which appears implicitly in the big O notation of property (5). 
2d

revised 
Characterizing the real analytic Eisenstein series
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2d

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Characterizing the real analytic Eisenstein series
Dear Gunter Harder, I know what is wrong. In the formula appearing in the display if it is $\frac{\partial}{\partial s}E(z,s)$ and therefore this is why you pick up a $\log(y)$. So I think that what I wrote is correct. 
Oct 23 
revised 
Characterizing the real analytic Eisenstein series
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Oct 23 
revised 
Characterizing the real analytic Eisenstein series
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Oct 23 
comment 
Characterizing the real analytic Eisenstein series
Dear Kunnysan, thanks for pointing out the inconsistancy with the functional equation and the shift with the constant! 
Oct 23 
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Characterizing the real analytic Eisenstein series
Dear GH, thanks for the comment you are perfectly. I'll add the Euler factor with the factor $1/2$ so that I at least get the right residues! 
Oct 22 
asked  Characterizing the real analytic Eisenstein series 
Oct 15 
comment 
A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
Yes indeed, the anecdote behind your first answer is quite inspiring! 
Oct 15 
accepted  A simple proof that parallelizable oriented closed manifolds are oriented boundaries? 
Oct 15 
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A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
OK thanks! This is a very nice argument! 
Oct 14 
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A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
Dear Andras, what do you mean by "take all the posets"? 
Oct 14 
revised 
Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
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Oct 13 
revised 
Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
edited title 
Oct 13 
revised 
Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
edited title 
Oct 13 
asked  Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K 