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Equality with $p$-adic analysis

On changing from '<' to '$le$' when taking limits (with norm $|bullet|_p$)Can one show a beginning student how to use the $p$-adics to solve a problem?Roadmap to $p$-adic numbers: where a self-learner should look for referencesUnderstanding $p$-adic fieldsHow to calculate $log_p x$ in p-adic analysis?Definition of singular solution of $f(mathbf{x}) = 0$ in $p$-adic integersEquivalent norms on a field differ only by a powerBasic question on p-adic numbersWhy do exist conjugate units such that…Can anyone help me understand this part of a proof involving inverse limits?

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I'm reading a paper of recurrences sequences and I could not understand why the equality mentioned in the underlined lines in the image. I think that it has to do with $p$-adic analysis. If someone has a clue or an answer, I would appreciate it very much. I have added some more information

p-adic-number-theory

share|cite|improve this question

edited yesterday

Jose Luis Orozco Gonzales

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  I think we need more context. For instance, what are the numbers $m$, $l$, and $k$? What is (presumably) equation (2)?
  $endgroup$
  – Lubin
  Mar 13 at 3:33
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I have added some more information
  $endgroup$
  – Jose Luis Orozco Gonzales
  yesterday
  

  
  
  
  

add a comment | 

0

$begingroup$

I'm reading a paper of recurrences sequences and I could not understand why the equality mentioned in the underlined lines in the image. I think that it has to do with $p$-adic analysis. If someone has a clue or an answer, I would appreciate it very much. I have added some more information

p-adic-number-theory

share|cite|improve this question

edited yesterday

Jose Luis Orozco Gonzales

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  I think we need more context. For instance, what are the numbers $m$, $l$, and $k$? What is (presumably) equation (2)?
  $endgroup$
  – Lubin
  Mar 13 at 3:33
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I have added some more information
  $endgroup$
  – Jose Luis Orozco Gonzales
  yesterday
  

  
  
  
  

add a comment | 

$begingroup$

I'm reading a paper of recurrences sequences and I could not understand why the equality mentioned in the underlined lines in the image. I think that it has to do with $p$-adic analysis. If someone has a clue or an answer, I would appreciate it very much. I have added some more information

p-adic-number-theory

share|cite|improve this question

edited yesterday

Jose Luis Orozco Gonzales

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

$endgroup$

share|cite|improve this question

edited yesterday

Jose Luis Orozco Gonzales

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

share|cite|improve this question

edited yesterday

Jose Luis Orozco Gonzales

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534

asked Mar 12 at 22:57

Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

534