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### Questions (73)

 8 Does $\sum\limits_{n=1}^{\infty}\frac{\cos^{2}(n+1)}{n}$ converge? 6 Geometric Intuition of Definition of Intersection Multiplicity (of two algebraic curves) 4 If $R$ is a domain which is not a field and $M$ is an $R$-module for which $\bigcap_{r\in R\setminus \{0\}} rM \neq 0$, show $M$ is not projective. 4 Sum of number-of-divisors function equals $\sum_{j=1}^{n} \lfloor n/j \rfloor$. 3 Quadratic extension in which inert primes lie in an arithmetic progression.

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 2 Find all $f$ analytic on unit disc and ctc on closure of disc with given properties. 2 Spec$\mathbb{C}[x, y]/(x(x-t))$ for fixed $t \in \mathbb{C}$. 1 Local uniform convergence of a certain sequence of certain complex functions using Montel's Theorem. 1 Conway (Complex Analysis) Proposition 3.2.5, question on part of proof. 0 Convergence pointwise of positive functions and convergence in $L^{1}(X)$ implies convergence in $L^{1}(\text{measble subset})$.

### Tags (94)

 4 complex-analysis × 17 0 measure-theory × 7 2 algebraic-geometry × 13 0 modular-forms × 7 2 affine-schemes × 2 0 abstract-algebra × 7 1 power-series × 3 0 real-analysis × 7 1 normal-families × 2 0 geometry × 6