# Questions tagged [elementary-proofs]

For questions related to 'elementary' proofs in a technical sense, which has nothing to do with the difficulty of the argument or result. A typical example would be 'elementary' proofs of the Prime Number Theorem, which avoid complex analysis. The tag is however not limited to this particular notion of 'elementary.'

**5**

**2**answers

### Products and sum of cubes in Fibonacci

**2**

**0**answers

### Reference for calculating definite integral involving sines

**10**

**1**answer

### Is there an elementary proof that there are infinitely many primes that are *not* completely split in an abelian extension?

**2**

**1**answer

### Partitioning the positive integers into finitely many arithmetic progressions

**12**

**3**answers

### Does anyone recognize this inequality?

**1**

**1**answer

### Good UPPER bounds for $\log(\sum_{i=1}^n p_ie^{z_i})-\sum_{i=1}^np_iz_i$ where $(p_i)_i$ is a probability vector

**4**

**2**answers

### Is the following recursion formula for $\zeta(2n)$ known?

**10**

**2**answers

### Sum of squared nearest-neighbor distances between points in a square

**21**

**15**answers

### Geodesics on the sphere

**5**

**2**answers

### How often does the Mertens function vanish?

**7**

**4**answers

### Different derivations of the value of $\prod_{0\leq j<k<n}(\eta^k-\eta^j)$

**1**

**2**answers

### Prove that there exists a nonempty subset $ I$ of $ \{1,2,…,n\}$ such that $ \sum_{i\in I}{\frac {1}{b_i}}$ is an integer

**9**

**2**answers

### Certain matrices of interesting determinant

**20**

**2**answers

### A Putnam problem with a twist

**0**

**0**answers