Search results
Results From The WOW.Com Content Network
None of the prime divisors of a Markov number is congruent to 3 modulo 4, which implies that an odd Markov number is 1 more than a multiple of 4. [9] Furthermore, if m {\displaystyle m} is a Markov number then none of the prime divisors of 9 m 2 − 4 {\displaystyle 9m^{2}-4} is congruent to 3 modulo 4.
Q(x 1,x 2,x 3,x 4) = x 2 1 + x 2 2 − px 2 3 − px 2 4, where p is a prime number that is congruent to 3 modulo 4. This can be proved by the method of infinite descent using the fact that, if the sum of two perfect squares is divisible by such a p, then each summand is divisible by p.
The ray class group modulo m is the quotient C m = I m / i(K m,1). [ 14 ] [ 15 ] A coset of i( K m ,1 ) is called a ray class modulo m . Erich Hecke 's original definition of Hecke characters may be interpreted in terms of characters of the ray class group with respect to some modulus m .
Take a look at every state ranked by how much each parent is going to spend on each kid this holiday season.
The weight loss drug Zepbound, generically known as tirzepatide, is also now an approved medication to treat obstructive sleep apnea, per a Food and Drug Administration Dec. 20 press release. The ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [1]
Pop Isaacs led Creighton with 27 points while shooting 6-of-9 from the 3-point line. Ashworth added 17 points, eight rebounds and six assists. Dajuan Harris Jr. led Kansas with 15 points and five ...
In 1933, Raymond Paley discovered the Paley construction, which produces a Hadamard matrix of order q + 1 when q is any prime power that is congruent to 3 modulo 4 and that produces a Hadamard matrix of order 2(q + 1) when q is a prime power that is congruent to 1 modulo 4. [5] His method uses finite fields.