Add to ORKGThe Prime Power Conjecture (PPC) states that abelian planar difference sets of order n exist only for n a prime power. Evans and Mann [2] verified this for cyclic difference sets for n 1600. In this paper we verify the PPC for n ≤ 2,000,000, using many necessary conditions on the group of multipliers
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
A P-set is a set S of positive integers such that no element of S divides the sum of any two (not ne...
Let be an abelian collineation group of order of a projective plane of order . We show that must be ...
In their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an abelian ...
10.1090/S0002-9947-03-03365-8Transactions of the American Mathematical Society356114343-435
AbstractIn their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an ...
Perfect difference sets are a set of residues, or remainders, under the modulo difference operation....
I show the veracity of the De Polignac conjecture, remained open since 1849, which says that for any...
AbstractIn the last years, the theorem of Weil on multiplicative character sums has been very freque...
Twin prime conjecture, also known as Polignac's conjecture, in number theory, assertion that there a...
A strong indication about the existence of a (7 p, 4, 1) difference family with p ≡ 7 (mod 12) a pri...
The Fundamental Theorem of Arithmetic is usually stated in a form emphasizing how primes enter the s...
AbstractA direct construction is given for a cyclic difference family of (4pn,4,1)-design for all p≡...
In the last years, the theorem of Weil on multiplicative character sums has been very frequently use...
Eric Lander conjectured that if G is an abelian group of order $v$ containing a difference set of or...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
A P-set is a set S of positive integers such that no element of S divides the sum of any two (not ne...
Let be an abelian collineation group of order of a projective plane of order . We show that must be ...
In their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an abelian ...
10.1090/S0002-9947-03-03365-8Transactions of the American Mathematical Society356114343-435
AbstractIn their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an ...
Perfect difference sets are a set of residues, or remainders, under the modulo difference operation....
I show the veracity of the De Polignac conjecture, remained open since 1849, which says that for any...
AbstractIn the last years, the theorem of Weil on multiplicative character sums has been very freque...
Twin prime conjecture, also known as Polignac's conjecture, in number theory, assertion that there a...
A strong indication about the existence of a (7 p, 4, 1) difference family with p ≡ 7 (mod 12) a pri...
The Fundamental Theorem of Arithmetic is usually stated in a form emphasizing how primes enter the s...
AbstractA direct construction is given for a cyclic difference family of (4pn,4,1)-design for all p≡...
In the last years, the theorem of Weil on multiplicative character sums has been very frequently use...
Eric Lander conjectured that if G is an abelian group of order $v$ containing a difference set of or...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
A P-set is a set S of positive integers such that no element of S divides the sum of any two (not ne...
Let be an abelian collineation group of order of a projective plane of order . We show that must be ...