User Peter Humphries

83 votes

Jokes in the sense of Littlewood: examples?

answered Sep 17, 2010 at 4:13

26 votes

Most memorable titles

answered Nov 2, 2010 at 11:17

23 votes

Accepted

Dedekind Zeta function: behaviour at 1

answered Feb 8, 2012 at 8:42

22 votes

Learning roadmap for harmonic analysis

answered Jun 3, 2011 at 9:37

20 votes

Accepted

Error term of the Prime Number Theorem and the Riemann Hypothesis

answered Jul 19, 2011 at 7:37

18 votes

Accepted

Density of the "multiplicative odd numbers"

answered Dec 13, 2012 at 22:59

18 votes

Accepted

Reference for Kronecker-Weyl theorem in full generality

answered Apr 9, 2014 at 18:59

18 votes

Accepted

Sign of the function $f(n)=\sum_{k=1}^n\frac{\mu(k)}{k}$

answered Aug 6, 2020 at 22:24

17 votes

Accepted

Is the asymptotic for $\sum_n (\mu(n)/\sigma(n)) \log(x/n)$ also an upper bound?

answered Apr 5, 2017 at 1:45

17 votes

Error to sum of Euler phi-functions

answered May 4, 2012 at 11:31

15 votes

Accepted

lower and upper bound for $\sum_{k=1}^n \frac{(-1)^{\Omega(k)}}k$?

answered Aug 12, 2014 at 16:50

15 votes

Accepted

Definitions of $\pi_1 \times \pi_2, \pi_1 \boxplus \pi_2, \pi_1 \boxtimes \pi_2$

answered Jun 11, 2018 at 13:59

14 votes

Accepted

Haar measure on $\mathrm{SL}_3(\mathbb{Z}) \backslash \mathrm{SL}_3(\mathbb{R}) / \mathrm{SO}_3(\mathbb{R})$

answered Feb 19, 2018 at 11:39

13 votes

How does Riemann hypothesis implies estimates?

answered Oct 28, 2017 at 16:52

13 votes

Accepted

Special values of adjoint $L$-functions of automorphic representations of $\mathrm{GSp}(4)$ as Petersson norms

answered Nov 18, 2017 at 18:46

13 votes

Accepted

"Extra Euler factors" in one definition of the L-function of a twist of a modular form

answered Jun 22, 2017 at 17:55

13 votes

Accepted

Contemporary introduction to Godement-Jacquet "Zeta functions of simple algebras"

answered Mar 13, 2021 at 23:36

13 votes

Prime number races in 2 dimensions

answered Feb 4, 2013 at 18:30

12 votes

Accepted

How strong is the requirement of being a Gelbart-Jacquet lift?

answered Apr 29, 2019 at 13:39

12 votes

Accepted

On the consistency of the definition of the conductor for automorphic forms

answered Jan 18, 2017 at 17:56

11 votes

Accepted

Is there a stronger (but widely believed) version of the Chowla conjecture?

answered Jun 16, 2013 at 22:53

11 votes

Accepted

Growth of dimension of fixed spaces in $GL_n(\mathbb{Q}_p)$-representations

answered Oct 13, 2015 at 23:48

11 votes

Accepted

Do "most" modular forms have no extra twists?

answered Oct 15, 2015 at 21:31

11 votes

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

answered May 27, 2010 at 3:11

11 votes

Probability in number theory

answered Jun 11, 2010 at 4:50

11 votes

Accepted

What are the analytic properties of Dirichlet Euler products restricted to arithmetic progressions?

answered Jun 13, 2010 at 8:03

10 votes

Accepted

How much can an Eisenstein series be truncated?

answered Oct 26, 2015 at 3:32

10 votes

Prime races à la Mertens

answered Apr 22, 2014 at 16:29

10 votes

Accepted

Atkin-Lehner theory for nonholomorphic Eisenstein series

answered Apr 20, 2015 at 16:44

10 votes

$\sum_{d\leq x} (\mu(d)/d) \log(x/d)$: is (the analogue of) Mertens' conjecture still false?

answered Jan 25, 2017 at 19:53

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79 Answers

Jokes in the sense of Littlewood: examples?

Most memorable titles

Dedekind Zeta function: behaviour at 1

Learning roadmap for harmonic analysis

Error term of the Prime Number Theorem and the Riemann Hypothesis

Density of the "multiplicative odd numbers"

Reference for Kronecker-Weyl theorem in full generality

Sign of the function $f(n)=\sum_{k=1}^n\frac{\mu(k)}{k}$

Is the asymptotic for $\sum_n (\mu(n)/\sigma(n)) \log(x/n)$ also an upper bound?

Error to sum of Euler phi-functions

lower and upper bound for $\sum_{k=1}^n \frac{(-1)^{\Omega(k)}}k$?

Definitions of $\pi_1 \times \pi_2, \pi_1 \boxplus \pi_2, \pi_1 \boxtimes \pi_2$

Haar measure on $\mathrm{SL}_3(\mathbb{Z}) \backslash \mathrm{SL}_3(\mathbb{R}) / \mathrm{SO}_3(\mathbb{R})$

How does Riemann hypothesis implies estimates?

Special values of adjoint $L$-functions of automorphic representations of $\mathrm{GSp}(4)$ as Petersson norms

"Extra Euler factors" in one definition of the L-function of a twist of a modular form

Contemporary introduction to Godement-Jacquet "Zeta functions of simple algebras"

Prime number races in 2 dimensions

How strong is the requirement of being a Gelbart-Jacquet lift?

On the consistency of the definition of the conductor for automorphic forms

Is there a stronger (but widely believed) version of the Chowla conjecture?

Growth of dimension of fixed spaces in $GL_n(\mathbb{Q}_p)$-representations

Do "most" modular forms have no extra twists?

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

Probability in number theory

What are the analytic properties of Dirichlet Euler products restricted to arithmetic progressions?

How much can an Eisenstein series be truncated?

Prime races à la Mertens

Atkin-Lehner theory for nonholomorphic Eisenstein series

$\sum_{d\leq x} (\mu(d)/d) \log(x/d)$: is (the analogue of) Mertens' conjecture still false?