In this paper we show the existence of functional relations for a class of L-series introduced by the second author in [13]. Our results will be applied to obtain a new class of congruences for Bernoulli- Carlitz fractions, and an analytic conjecture is stated, implying an interesting behavior of such fractions modulo prime ideals of Fq[θ].
Functional identities for L-series values in positive characteristic / Angl(`(e))s, Bruno; Pellarin, Federico. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 142:(2014), pp. 223-251. [10.1016/j.jnt.2014.03.004]
Functional identities for L-series values in positive characteristic
Federico Pellarin
2014
Abstract
In this paper we show the existence of functional relations for a class of L-series introduced by the second author in [13]. Our results will be applied to obtain a new class of congruences for Bernoulli- Carlitz fractions, and an analytic conjecture is stated, implying an interesting behavior of such fractions modulo prime ideals of Fq[θ].File allegati a questo prodotto
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