Integer sequences having prescribed quadratic character

Authors:
D. H. Lehmer, Emma Lehmer and Daniel Shanks

Journal:
Math. Comp. **24** (1970), 433-451

MSC:
Primary 10.03

DOI:
https://doi.org/10.1090/S0025-5718-1970-0271006-X

MathSciNet review:
0271006

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Abstract | References | Similar Articles | Additional Information

Abstract: For the odd primes , we determine integer sequences such that the Legendre symbol for all for a prescribed array of signs ; (i.e., for a prescribed quadratic character). We examine six quadratic characters having special interest and applications. We present tables of these and examine some applications, particularly to questions concerning extreme values for the smallest primitive root (of a prime ), the class number of the quadratic field , the real Dirichlet functions, and quadratic character sums.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1970-0271006-X

Keywords:
Quadratic character,
sieves,
primitive roots,
class number,
Dirichlet functions,
quadratic character sums,
pseudo-squares

Article copyright:
© Copyright 1970
American Mathematical Society