On an asymptotic formula of Ramanujan for a certain theta-type series
Masanori Katsurada (2001)
Acta Arithmetica
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Masanori Katsurada (2001)
Acta Arithmetica
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Audrey Terras (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Yong-Gao Chen, Lin-Feng Cheng (2003)
Acta Arithmetica
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Masanori Katsurada (2003)
Acta Arithmetica
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Shigeru Kanemitsu, Takako Kuzumaki (2001)
Acta Arithmetica
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Miki Hirano (1997)
Manuscripta mathematica
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Christine Bachoc, Gabriele Nebe, Boris Venkov (2002)
Acta Arithmetica
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M. C. Lettington (2013)
Acta Arithmetica
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We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli...
David Scott (1980)
Mathematische Annalen
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Kazuhiro Onodera (2014)
Acta Arithmetica
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We generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral representations of several zeta functions, an extension of the parity result to the whole domain of convergence, concrete expressions of Tornheim's double zeta function at non-positive integers and some results on the behavior of a certain Witten's zeta...
Kui Liu (2014)
Acta Arithmetica
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Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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