L-functions and character sums for quadratic forms (I)
H Stark (1968)
Acta Arithmetica
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H Stark (1968)
Acta Arithmetica
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D. Lehmer, Emma Lehmer (1967)
Acta Arithmetica
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D. Lehmer, Emma Lehmer (1968)
Acta Arithmetica
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Kenneth Williams (1981)
Acta Arithmetica
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Taira Honda (1973)
Rendiconti del Seminario Matematico della Università di Padova
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Bruce Berndt, Ronald Evans (1986)
Acta Arithmetica
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R. Gold (1974)
Acta Arithmetica
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Minking Eie, King F. Lai (1998)
Revista Matemática Iberoamericana
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Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include...
Alain Haraux, Vilmos Komornik (1985)
Revista Matemática Iberoamericana
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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ utt + (-1)m Δmu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u|Γ = ... = Δm-1 u|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...