Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications
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Publication:5360384
DOI10.1017/S0305004115000808zbMath1371.11003arXiv1404.5070MaRDI QIDQ5360384
Javier Cilleruelo, Moubariz Z. Garaev
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.5070
Congruences; primitive roots; residue systems (11A07) Exponential Diophantine equations (11D61) Trigonometric and exponential sums (general theory) (11L03)
Related Items (20)
On the product sets of rational numbers ⋮ Estimates of trigonometric sums over subgroups and some of their applications ⋮ Bounds of double multiplicative character sums and gaps between residues of exponential functions ⋮ On small gaps between the elements of multiplicative subgroups of finite fields ⋮ Statistics for fixed points of the self-power map ⋮ Explicit upper bound on the least primitive root modulo p2 ⋮ On the fixed points of the map \(x\mapsto x^x\) modulo a prime. II. ⋮ Fixed points of the subset sum pseudorandom number generators ⋮ On distribution of elements of subgroups in arithmetic progressions modulo a prime ⋮ Double character sums with intervals and arbitrary sets ⋮ On the size of the quotient of two subsets of positive integers ⋮ On the few products, many sums problem ⋮ Bounds of Trilinear and Trinomial Exponential Sums ⋮ Double exponential sums and congruences with intervals and exponential functions modulo a prime ⋮ The congruence $x^{x}\equiv \lambda \pmod p$ ⋮ On product sets of rationals ⋮ Counting fixed points and rooted closed walks of the singular map \(x \mapsto x^{x^n}\) modulo powers of a prime ⋮ Unnamed Item ⋮ New estimates for exponential sums over multiplicative subgroups and intervals in prime fields ⋮ Unnamed Item
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