Secant zeta functions
نویسندگان
چکیده
منابع مشابه
Secant zeta functions
MATILDE LALÍN, FRANCIS RODRIGUE, AND MATHEW ROGERS Abstract. We study the series ψs(z) := ∑∞ n=1 sec(nπz)n −s, and prove that it converges under mild restrictions on z and s. The function possesses a modular transformation property, which allows us to evaluate ψs(z) explicitly at certain quadratic irrational values of z. This supports our conjecture that πψk( √ j) ∈ Q whenever k and j are posit...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.06.071