Newbetuts

Why is $\sum\limits_{n=1}^{\infty}e^{-(n/10)^2}$ almost equal to $5\sqrt\pi-\frac12$ (agreeing up to $427$ digits)?

Proving that $\sigma_7(n) = \sigma_3(n) + 120 \sum_{m=1}^{n-1} \sigma_3(m)\sigma_3(n-m)$ without using modular forms?

How to show that $ \int_0^\infty \frac{1}{\sqrt {t(t^2+21t+112)}} dt=\frac{1}{4\pi\sqrt {7}}\Gamma(\frac{1}{7})\Gamma(\frac{2}{7})\Gamma(\frac{4}{7})$

Do general automorphic factors arise in some canonical way?

Inverting the modular $J$ function

Proving finite dimensionality of modular forms using representation theory?

How does one graduate from Hecke Operators to Hecke Correspondences?

Inclusion operator on half-integer weight modular forms and its adjoint

The ratio of jacobi theta functions

What is a form?

How to solve the Brioschi quintic in terms of elliptic functions?

a new continued fraction for $\sqrt{2}$

Modular Forms: Find a set of representatives for the cusps of $\Gamma_0(4)$

Why are $L$-functions a big deal?

On the integral $\int_0^\infty \eta^2(i x) \,dx = \ln(1+\sqrt{3}+\sqrt{3+2 \sqrt{3}})$ and its cousins

New posts in modular-forms

Is there a precise mathematical connection between hypergeometric functions and modular forms

Why is $\tau(n) \equiv \sigma_{11}(n) \pmod{691}$?

How did Hecke come up with Hecke-operators?

Modular interpretation of modular curves

Galois Properties of the Values of Modular Forms

Why is $\sum\limits_{n=1}^{\infty}e^{-(n/10)^2}$ almost equal to $5\sqrt\pi-\frac12$ (agreeing up to $427$ digits)?

Proving that $\sigma_7(n) = \sigma_3(n) + 120 \sum_{m=1}^{n-1} \sigma_3(m)\sigma_3(n-m)$ without using modular forms?

How to show that $ \int_0^\infty \frac{1}{\sqrt {t(t^2+21t+112)}} dt=\frac{1}{4\pi\sqrt {7}}\Gamma(\frac{1}{7})\Gamma(\frac{2}{7})\Gamma(\frac{4}{7})$

Do general automorphic factors arise in some canonical way?

Inverting the modular $J$ function

Proving finite dimensionality of modular forms using representation theory?

How does one graduate from Hecke Operators to Hecke Correspondences?

Inclusion operator on half-integer weight modular forms and its adjoint

The ratio of jacobi theta functions

What is a form?

How to solve the Brioschi quintic in terms of elliptic functions?

a new continued fraction for $\sqrt{2}$

Modular Forms: Find a set of representatives for the cusps of $\Gamma_0(4)$

Why are $L$-functions a big deal?

On the integral $\int_0^\infty \eta^2(i x) \,dx = \ln(1+\sqrt{3}+\sqrt{3+2 \sqrt{3}})$ and its cousins