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Showing $\frac{1}{n} + \frac{1}{n+1} + \cdots + \frac{1}{n+k}$ is not an integer.

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#number-theory
62
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a question on dense subsets of the (0,1) interval in number theory

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#number-theory #reference-request #irrational-numbers
266
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Eisenstein's Lemma

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#number-theory #legendre-symbol
135
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Number Theoretic Estimate $\sum_{p\leq y}\frac{\log p}{p}h(pt)=\int_{t}^{yt}\frac{h(v)}{v}\ dv+O\big(h(y)\big)$

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#number-theory #prime-numbers #summation-by-parts
135
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Prove or Disprove: $e = m\pi + n$ for some integers $m$ and $n$.

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#number-theory #transcendental-numbers #open-problem
93
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Continuable fractions

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#number-theory
120
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Find the remainder when $3^{29}$ is divided by $12$.

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#number-theory #modular-arithmetic #exponentiation
44
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Reference for Hecke theory on meromorphic modular forms

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#number-theory #modular-forms
114
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Solving equations where the solution lies in $\{0,1\}$

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#number-theory #elementary-number-theory #systems-of-equations #binary-programming
84
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Integers partition

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#combinatorics #number-theory
91
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Can we prove that there exists a number having only digits $0$ and $1$ with $k$ $1$’s that is divisible by $k$

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#combinatorics #number-theory
222
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How to show that a number isn't an element of the ring of algebraic integers

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#number-theory #algebraic-number-theory
322
Views

Bounding Maximal gaps with Ramanujan primes

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#number-theory #proof-verification #prime-numbers #analytic-number-theory #prime-gaps
478
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Solutions to diophantinte equation $x^4+2y^4=z^2$

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#number-theory #diophantine-equations
92
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zeta function of $A^n$?

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#abstract-algebra #geometry #number-theory #algebraic-geometry #zeta-functions

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