The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002143

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Class numbers h(-p) where p runs through the primes p == 3 (mod 4).
(history; published version)

#57 by Peter Luschny at Tue Aug 06 05:02:26 EDT 2019

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proposed

approved

#56 by Vaclav Kotesovec at Tue Aug 06 05:01:43 EDT 2019

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editing

proposed

#55 by Vaclav Kotesovec at Tue Aug 06 04:58:09 EDT 2019

COMMENTS

Conjecture: For any prime p > 3 with p == 3 (mod 8), we have 2*h(-p)*sqrt(p) = Sum_{k=1..(p-1)/2} csc(2*piPi*k^2/p). - Zhi-Wei Sun, Aug 06 2019

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approved

editing

#54 by Bruno Berselli at Tue Aug 06 03:49:28 EDT 2019

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reviewed

approved

#53 by Peter Luschny at Tue Aug 06 03:30:16 EDT 2019

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proposed

reviewed

#52 by Zhi-Wei Sun at Tue Aug 06 03:26:33 EDT 2019

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editing

proposed

#51 by Zhi-Wei Sun at Tue Aug 06 03:26:29 EDT 2019

COMMENTS

Conjecture: For any prime p > 3 with p == 3 (mod 8), we have 2*h(-p)*sqrt(p) = Sum_{k=1..(p-1)/2} csc(2*pi*k^2/p). - Zhi-Wei Sun, Aug 06 2019

STATUS

approved

editing

#50 by Susanna Cuyler at Sun Feb 17 08:50:43 EST 2019

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reviewed

approved

#49 by Joerg Arndt at Sun Feb 17 08:47:01 EST 2019

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proposed

reviewed

#48 by Michel Marcus at Sun Feb 17 06:06:11 EST 2019

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editing

proposed