Memorial to Javier Cilleruelo: a problem list. (English) Zbl 1412.11055

Candela, Pablo; Rué, Juanjo; Serra, Oriol

Integers 18, Paper A28, 9 p. (2018).

Summary: This is a list of problems in combinatorial number theory gathered on the occasion of the meeting “The Music of Numbers” to honor the memory of the late Javier Cilleruelo (1961 – 2016).

MSC:

11B75	Other combinatorial number theory
01A70	Biographies, obituaries, personalia, bibliographies

References:

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[2]	J. Cilleruelo, The least common multiple of a quadratic sequence, Compos. Math. 147 (2011), 1129-1150. · Zbl 1248.11068
[3]	J. Cilleruelo and J-M. Deshouillers, Gaps in sumsets of s pseudo s-th power sequences, Ann. Inst. Fourier (Grenoble) 67 (2017), 1725-1738. · Zbl 1433.11005
[4]	J. Cilleruelo, J-M. Deshouillers, V. Lambert, and A. Plagne, Additive properties of pseudo s-th power sequences, Math. Z. 284 (2016), 175-193. · Zbl 1393.11025
[5]	J. Cilleruelo and M. Z. Garaev, Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications, Math. Proc. Cambridge Philos. Soc. 160 (2016), no. 3, 477-494. · Zbl 1371.11003
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