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A note on large gaps between consecutive primes in arithmetic progressions

✍ Scribed by Alessandro Aaccagnini

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 136 KB
Volume: 42
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(92)90111-2

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Let g # Z"[ &1, 0, 1] and let h be the largest integer such that g is an hth power. Let p be a prime. Put w g ( p)=2.( p&1)Â( p&1) if (gÂ p)=&1 (Legendre symbol) and ( p&1, h)=1 and w g ( p)=0 otherwise, with . Euler's totient. Let a (mod f ) be a primitive residue class. Let ? g (x; f, a) denote th