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Abstract
Recently, several bounds have been obtained on the number of solutions of congruences of the type (formula presented) where p is prime and variables take values in some short interval. Here, for almost all p and all s and also for a fixed p and almost all s, we derive stronger bounds. We also use similar ideas to show that for almost all p, one can always find an element of a large order in any rather short interval.
Original language | English |
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Pages (from-to) | 117-147 |
Number of pages | 31 |
Journal | Journal d'Analyse Mathematique |
Volume | 124 |
Issue number | 1 |
DOIs | |
Publication status | Published - Oct 2014 |
Externally published | Yes |
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Dive into the research topics of 'Multiplicative congruences with variables from short intervals'. Together they form a unique fingerprint.Projects
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