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The number of solutions of the equation X1X2+bx3x4=N

✍ Scribed by S. A. Zakharov

Publisher: SP MAIK Nauka/Interperiodica
Year: 1991
Tongue: English
Weight: 89 KB
Volume: 49
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01142656

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We obtain the asymptotic formulae |B & V| =( |B|Âp)+O(-|B| log 2 p) for the number of solutions of the congruence x 1 x 2 #x 3 x 4 (mod p) in a box B of arbitrary size and position, and N(B)=(12Â? 2 ) B 2 log B+CB 2 +O(B 19Â13 log 7Â13 B), with C given explicitly, for the number of solutions of the