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A note on the imaginary part of bispectra

✍ Scribed by Masuda, Akira; Kuo, Yi-Yu

Book ID: 123258205
Publisher: Elsevier Science
Year: 1981
Weight: 439 KB
Volume: 28
Category: Article
ISSN: 0198-0149
DOI: 10.1016/0198-0149(81)90063-7

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Let Do0 be the fundamental discriminant of an imaginary quadratic field, and hðDÞ its class number. In this paper, we show that for any prime p > 3 and e ¼ À1; 0; or 1, ] ÀX oDo0 j hðDÞc0 ðmod pÞ and D p ¼ e 4 p ffiffiffiffi X p log X :