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Congruences for L-Functions 18 Das Konzept der Funktionen des

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Das Konzept der Funktionen des Waldes (ZUNDEL 1990 in SCHENK / SCHLIEPHAKE 2005

Godwin’s Caleb Williams and poems by Wordsworth

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Congruences for L-Functions 18 Das Konzept der Funktionen desIn [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy Williams idea was as follows. Let d be the discriminant of a quadratic field. Suppose that d is odd and let d = PIP2 . . Pn be its unique

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