James Singer’s scientific contributions

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Publications (1)


A Theorem in Finite Projective Geometry and Some Applications to Number Theory
  • Article

January 1938

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55 Reads

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737 Citations

Transactions of the American Mathematical Society

James Singer

Citations (1)


... Sidon sets are classical objects in additive combinatorics and have been intensely studied over the decades [20,24]. It was first proved by Singer [21] in 1938, that if p is a power of a prime, then one can find p + 1 integers such that their pairwise sums are all different modulo p 2 + p + 1. Since the ratio of consecutive primes tends to 1, this immediately implies that {1, . . . ...

Reference:

Ruzsa’s Problem on Bi-Sidon Sets
A Theorem in Finite Projective Geometry and Some Applications to Number Theory
  • Citing Article
  • January 1938

Transactions of the American Mathematical Society