Cotangent zeta functions in function fields

Hamahata, Yoshinori

doi:10.1007/s11139-016-9816-y

Ramanujan J

2016

DOI: 10.1007/s11139-016-9816-y

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Cotangent zeta functions in function fields

Yoshinori Hamahata

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2018

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Chowla’s theorem over function fields

Hamahata

2018

Int. J. Number Theory

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Sarvadaman Chowla proved that if [Formula: see text] is an odd prime, then [Formula: see text] ([Formula: see text]) are linearly independent over the field of rational numbers. We establish an analog of this result over function fields. As an application, we prove an analog of the Baker–Birch–Wirsing theorem about the non-vanishing of Dirichlet series with periodic coefficients at [Formula: see text] in the function field setup with a parity condition.

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Chowla’s theorem over function fields

Hamahata

2018

Int. J. Number Theory

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Cotangent zeta functions in function fields

Cited by 1 publication

References 11 publications

Chowla’s theorem over function fields

Chowla’s theorem over function fields

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