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The Number of involutory matrices over $\mathbb{Z_p} $

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#linear-algebra #number-theory #quadratic-residues #legendre-symbol
490
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Carmicheal numbers are square free

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#number-theory #carmichael-numbers
102
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Definition of Haar integral in Bushnell and Henniart

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#number-theory #locally-compact-groups #haar-measure #langlands-program
432
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Does some Lucas sequence contain infinitely many primes?

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#sequences-and-series #number-theory #prime-numbers #fibonacci-numbers #lucas-numbers
82
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Integer solutions to AGM iteration

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#number-theory #pythagorean-triples #elliptic-integrals
139
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Congruence with Lucas sequence

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#number-theory
92
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How to show that $\bigcup_{n \in \mathbb{N}} \{ \frac{k}{2^n} : 1 \leq k \leq 2^n \}$ is dense in $\mathbb{Q} \cap [0,1]$?

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#general-topology #functional-analysis #number-theory #analysis
372
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Can ratio of smooth numbers approach 1?

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#number-theory #limits #elementary-number-theory
173
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Interpretation of Coefficients of Expanded Cyclotomic Polynomials

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#number-theory #cyclotomic-polynomials #mobius-function
87
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Let $x(n)=$ product of first $n$ primes.How often is $x(n)$ triangular?

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#number-theory #elementary-number-theory #binomial-coefficients #analytic-number-theory #experimental-mathematics
317
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On $\phi(n) \sigma(n)$ being a square.

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#number-theory #analytic-number-theory #totient-function #divisor-sum
69
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remainder: $\lfloor 1^p/p \rfloor + \lfloor 2^p/p \rfloor... + \lfloor 2015^p/p \rfloor$ divided by p

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#number-theory
952
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Real vs Imaginary embeddings of a number field.

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#number-theory
50
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Prove or disprove $aB_m-bA_m=[q_n,\cdots,q_m]$

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#number-theory #elementary-number-theory #approximation #rational-numbers #continued-fractions
98
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Frobenius for modular curves.

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#number-theory #algebraic-geometry #modular-forms #arithmetic-geometry

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