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- W758418330 abstract "Let h ≥ 2 be an integer. A set A of positive integers is called a Bhsequence if all sums a1 + . . . + ah, where ai ∈ A (i = 1, . . . , h), are distinct up to rearrangements of the summands. A Bh-sequence is also called a Sidon sequence of order h [7]. Sidon was led to consider such sequences in connection with the theory of Fourier series. In [7] he raised the question of how many terms not exceeding n a Bh-sequence may have. Some earlier important results on Bh-sequences may be found in [2, Ch. 2]. Let A be a Bh-sequence. Denote by A(n) the cardinality of A ∩ [0, n]. For any positive integer r, denote by rA the set of integers ∑r i=1 ai where ai ∈ A (i = 1, . . . , r). It follows from the definition of Bh-sequences that" @default.
- W758418330 created "2016-06-24" @default.
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- W758418330 date "1993-01-01" @default.
- W758418330 modified "2023-10-17" @default.
- W758418330 title "On Sidon sequences of even orders" @default.
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- W758418330 doi "https://doi.org/10.4064/aa-64-4-325-330" @default.
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