Bertrand's user avatar
Bertrand's user avatar
Bertrand's user avatar
Bertrand
  • Member for 10 years, 7 months
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10 votes
2 answers
7k views

About the Fourier transform of the logarithm function

8 votes
1 answer
454 views

Functional equation with Fourier transform and $\frac{1}{x} f(\frac{1}{x}) $

6 votes
1 answer
1k views

Sufficient condition for Riemann Hypothesis?

6 votes
2 answers
912 views

On extended Riemann Hypothesis and coefficients of Selberg Class L-functions

6 votes
2 answers
301 views

Evolution of partial sum of a sequence of induced Dirichlet characters

5 votes
3 answers
2k views

Extension of Poisson Summation formula

5 votes
2 answers
753 views

Is there a Poisson Summation formula for imprimitive Dirichlet characters?

5 votes
0 answers
316 views

Can we extend the twisted Poisson Summation formula with functions having a singularity in zero?

4 votes
2 answers
1k views

Riemann Hypothesis and Euler product

4 votes
1 answer
284 views

Selberg class definition and Riemann hypothesis

3 votes
1 answer
248 views

On construction of a $\mathbb{Q}$ periodic function with Fourier series

3 votes
2 answers
382 views

Asymptotic behavior of the solution of the high degree differential equation $(x^{2n}y^{(n)})^{(n)}-x^2y=\lambda \; y$

3 votes
2 answers
1k views

Fourier transform inversion theorem for a function not in L1 or L2

3 votes
1 answer
1k views

Interchange of sum and integral (on a "Poisson summation")

3 votes
1 answer
417 views

On link between Riemann hypothesis and partial GRH

3 votes
1 answer
479 views

Possible to have Poisson Summation formula with coefficient of modular forms? (for some functions)

3 votes
1 answer
748 views

On partial sum of non-primitive Dirichlet characters

3 votes
0 answers
432 views

Infinite sums with Mobius Inversion : can we have uniform convergence of inversion formula?

2 votes
0 answers
216 views

On uniform or simple convergence of Poisson Summation formula

2 votes
1 answer
270 views

Eigenfunctions of an infinite summation operator

2 votes
0 answers
87 views

Functional equation involving integrals and exponential

2 votes
0 answers
266 views

On a sequence of L-functions having same zeros in critical strip and GRH

2 votes
0 answers
377 views

Is this double integral of Fourier series always real?

2 votes
1 answer
510 views

Maass form properties and their fourier coefficients

2 votes
0 answers
214 views

Integral with product of two infinite sums

1 vote
0 answers
49 views

Comparison of (square) of a function and its Fourier transform in an integral

1 vote
0 answers
146 views

Functional equation with Fourier transform

1 vote
0 answers
204 views

Convergence of zeta Euler product with additional term

1 vote
1 answer
314 views

Is this function $\mathbb{Q}$ periodic?

1 vote
1 answer
186 views

Definite intergal with two K-Bessel functions and x