The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
Evgeny Tenetov - One of the best experts on this subject based on the ideXlab platform.
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a voronoi Oppenheim summation formula for totally real number fields
Journal of Number Theory, 2019Co-Authors: Debika Banerjee, Ehud Moshe Baruch, Evgeny TenetovAbstract:Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to the one developed by Beineke and Bump in order to prove the classical Oppenheim summation using a certain Eisenstein series and representation theory. Our formula has a simple formulation for real quadratic number fields.
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A Voronoi–Oppenheim summation formula for totally real number fields
Journal of Number Theory, 2019Co-Authors: Debika Banerjee, Ehud Moshe Baruch, Evgeny TenetovAbstract:Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to the one developed by Beineke and Bump in order to prove the classical Oppenheim summation using a certain Eisenstein series and representation theory. Our formula has a simple formulation for real quadratic number fields.
Joe Guadagno - One of the best experts on this subject based on the ideXlab platform.
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The useless hand of Oppenheim.
Practical neurology, 2017Co-Authors: Louise Wiblin, Joe GuadagnoAbstract:Hermann Oppenheim described the ‘Useless Hand’ in 1911 as a classical but uncommon presentation of multiple sclerosis, in which a hand loses useful function due to proprioceptive loss, with relatively preserved motor function. Light touch perception may be subjectively altered or can be relatively intact. The lesion is (usually) a demyelinating plaque in the posterior columns of the cervical spinal cord. Depending on its location, it may affect one limb, or if more central, may produce a bilateral (if asymmetrical) picture. This article reviews a clinical case, historical background, pathophysiology as well as examination tips to aid its recognition.
Debika Banerjee - One of the best experts on this subject based on the ideXlab platform.
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a voronoi Oppenheim summation formula for totally real number fields
Journal of Number Theory, 2019Co-Authors: Debika Banerjee, Ehud Moshe Baruch, Evgeny TenetovAbstract:Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to the one developed by Beineke and Bump in order to prove the classical Oppenheim summation using a certain Eisenstein series and representation theory. Our formula has a simple formulation for real quadratic number fields.
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A Voronoi–Oppenheim summation formula for totally real number fields
Journal of Number Theory, 2019Co-Authors: Debika Banerjee, Ehud Moshe Baruch, Evgeny TenetovAbstract:Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to the one developed by Beineke and Bump in order to prove the classical Oppenheim summation using a certain Eisenstein series and representation theory. Our formula has a simple formulation for real quadratic number fields.
Louise Wiblin - One of the best experts on this subject based on the ideXlab platform.
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The useless hand of Oppenheim.
Practical neurology, 2017Co-Authors: Louise Wiblin, Joe GuadagnoAbstract:Hermann Oppenheim described the ‘Useless Hand’ in 1911 as a classical but uncommon presentation of multiple sclerosis, in which a hand loses useful function due to proprioceptive loss, with relatively preserved motor function. Light touch perception may be subjectively altered or can be relatively intact. The lesion is (usually) a demyelinating plaque in the posterior columns of the cervical spinal cord. Depending on its location, it may affect one limb, or if more central, may produce a bilateral (if asymmetrical) picture. This article reviews a clinical case, historical background, pathophysiology as well as examination tips to aid its recognition.
Yuehua Liu - One of the best experts on this subject based on the ideXlab platform.
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Hausdorff dimension of some kind of alternating Oppenheim series expansion
Analysis in Theory and Applications, 2007Co-Authors: Luming Shen, Yuehua LiuAbstract:For Oppenheim series epansions, the authors of [7] discussed the exceptional sets $$B_m = \{ x \in (0,1]:1 < \frac{{d_j (x)}}{{h_{j - 1} (d_{j - 1} (x))}} \leqslant m for any j \geqslant 2\} $$ . In this paper, we investigate the Hausdorff dimension of a kind of exceptional sets occurring in alternating Oppenheim series expansion. As an application, we get the exact Hausdorff dimension of the set in Luroth series expansion, also we give an estimate of such dimensional number.
