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Computation of the inverse of a $p$-adic integer in $\mathbb{Z}_p^{*}$

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#abstract-algebra #number-theory #p-adic-number-theory #newton-raphson
76
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Struggling to understand proofs involving modules.

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#number-theory #discrete-mathematics
93
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Does a factorial always differ by a square from a square?

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#number-theory #factorial #square-numbers
51
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Consider $m$ to be odd and prime. And $A = \{0, 1, 2, ..., 2m-1\}$ is the set of all remainders modulo $2m$.

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#number-theory #prime-numbers #modular-arithmetic
125
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what is the complete list of numbers that cannot be written as the sum of three powerful numbers?

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#number-theory
47
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Does the Z-function ever touch the x-axis without crosssing it

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#number-theory #riemann-zeta
176
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Integers which are squared norm of 3 by 3 integer matrices

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#linear-algebra #matrices #number-theory #elementary-number-theory #normed-spaces
584
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Higher unit groups for $p$-adic integers

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#abstract-algebra #group-theory #number-theory #algebraic-geometry #p-adic-number-theory
40
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Proving a real number must be an integer given certain conditions.

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#real-analysis #number-theory
364
Views

Cyclic Golomb ruler

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#number-theory #graph-theory
243
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How can we find the maximum value of $S=|a_1-b_1|+|a_2-b_2|+...+|a_n-b_n|\ ?$

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#number-theory #elementary-number-theory #inequality
93
Views

Is there at least one pair from $a, b, c$ that is coprime?

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#number-theory #prime-numbers #gcd-and-lcm #coprime
661
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If x is a real number, then $x^2 ≥ 0$. The equality holds if and only if $x = 0$

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#number-theory
93
Views

Weights and Scale Problem

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#combinatorics #number-theory #discrete-mathematics #proof-explanation
182
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How to solve the following congruence's equation system?

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#number-theory #elementary-number-theory #discrete-mathematics #modular-arithmetic

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