A generalization of Rademacher's reciprocity law
Acta Arithmetica (2013)
- Volume: 159, Issue: 4, page 363-374
- ISSN: 0065-1036
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topSandro Bettin. "A generalization of Rademacher's reciprocity law." Acta Arithmetica 159.4 (2013): 363-374. <http://eudml.org/doc/279335>.
@article{SandroBettin2013,
abstract = {We generalize Rademacher's reciprocity formula for the Dedekind sum to a family of cotangent sums. One of the sums in this family is strictly related to the Vasyunin sum, a function defined on the rationals that is relevant to the Nyman-Beurling-Báez-Duarte approach to the Riemann hypothesis.},
author = {Sandro Bettin},
journal = {Acta Arithmetica},
keywords = {Vasyunin sum; reciprocity formula; Riemann zeta-function; Dedekind sum},
language = {eng},
number = {4},
pages = {363-374},
title = {A generalization of Rademacher's reciprocity law},
url = {http://eudml.org/doc/279335},
volume = {159},
year = {2013},
}
TY - JOUR
AU - Sandro Bettin
TI - A generalization of Rademacher's reciprocity law
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 4
SP - 363
EP - 374
AB - We generalize Rademacher's reciprocity formula for the Dedekind sum to a family of cotangent sums. One of the sums in this family is strictly related to the Vasyunin sum, a function defined on the rationals that is relevant to the Nyman-Beurling-Báez-Duarte approach to the Riemann hypothesis.
LA - eng
KW - Vasyunin sum; reciprocity formula; Riemann zeta-function; Dedekind sum
UR - http://eudml.org/doc/279335
ER -
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