PHP - gmp_kronecker() Function

Definition and Usage

The gmp_kronecker() function calculates the Kronecker symbol.

The Kronecker symbol, written (a/n) or (a|n), is a reference taken from the Jacobi symbol to all integers n.

gmp_kronecker ( mixed $a , mixed $b ) : int

Sr.No	Parameter & Description
1	a It can a GMP resource number , a gmp object or a numeric string.
2	b It can a GMP resource number , a gmp object or a numeric string. The value of b has to be positive and odd.

Sr.No

Parameter & Description

It can a GMP resource number , a gmp object or a numeric string.

It can a GMP resource number , a gmp object or a numeric string. The value of b has to be positive and odd.

PHP gmp_kronecker() function returns kronecker symbol for the given GMP numbers.

This function will work from PHP Version greater than 7.3.0.

Working of gmp_kronecker() −

<?php
   $ks = gmp_kronecker("1", "3");
   echo "The Kronecker symbol of 1/3 is :".$ks;
?>

This will produce following result −

The Kronecker symbol of 1/3 is :1

Working of gmp_kronecker() −

<?php
   $ks = gmp_kronecker("3", "11");
   echo "The Kronecker symbol of 3/11 is :".$ks;
?>

This will produce following result −

The Kronecker symbol of 3/11 is :1

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