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Prime ramification on cyclotomic fields

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#number-theory #algebraic-number-theory #ramification
328
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Digits sum and pythagorean triples

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#number-theory
55
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How can I prove this argument?

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#number-theory #discrete-mathematics #modular-arithmetic
135
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Existence of solutions to DLP and Primitive roots mod $p$

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#number-theory #reference-request #modular-arithmetic #cryptography #primitive-roots
33
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How would you solve $a_{1}+...a_{m}=0$ given that $a_{i}\in\mathbb{Z}$, $|a_{i}|<k$ and if $a_{i}=a$, then $a_{j}\neq a$

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#number-theory
215
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Number of prime factors of the product of the first Fibonacci numbers

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#number-theory #prime-numbers #analytic-number-theory #fibonacci-numbers
81
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Is there any proof in Number theory claimed or dis-claimed the existence of universel form generating primes?

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#number-theory #prime-numbers #closed-form
71
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Summation on multiplication of two numbers that equal to a specified sum

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#number-theory #combinations
486
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Riemann hypothesis and Einstein manifolds

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#number-theory #riemannian-geometry #general-relativity
70
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Prove that for any positive integer c, there are infinitely many integers x with gcd(a+bx,c)=1.

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#number-theory #elementary-number-theory
135
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Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$

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#number-theory
64
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Family of $A^2=I$

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#matrices #number-theory
927
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Two numbers $x$ and $y$ are chosen at random from the numbers $1,2,3,4,\ldots,2004$. The probability that $x^3+y^3$ is divisible by $3$ is?

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#probability #number-theory
172
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Why can FFT (NTT?) work well on polynomial ring with some integer coefficient modulus?

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#number-theory #polynomials #fast-fourier-transform
161
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Pollard's $p-1$ algorithm

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#number-theory #proof-verification #cryptography

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