- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
On a relation between modular functions and Dirichlet series: found in the estate of Adolf Hurwitz
Archive for History of Exact Sciences 71 (4):345-361 (2017)
Abstract
Adolf Hurwitz’s estate contains a note from the early 1880s on the converse to Riemann’s proof of the functional equation for the zeta-function; this idea has later been elaborated by Hans Hamburger for a characterization of the zeta-function by its functional equation and by Eugène Cahen and Erich Hecke with respect to modular forms. In this note, we present Hurwitz’s reasoning and comment on the historical context.My notes
Similar books and articles
L-series and Hurwitz zeta functions associated with the universal formal group.Pierluigi Tempesta - 2010 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 9 (1):133-144.
Between Enlightenment and Romanticism: Computational Kabbalah of Rabbi Pinchas Elijah Hurwitz.Yoel Matveyev - 2011 - History and Philosophy of Logic 32 (1):85-101.
Modular Ax–Lindemann–Weierstrass with Derivatives.Jonathan Pila - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):553-565.
Fonction Zêta de Hurwitz p-adique et irrationalité.Pierre Bel - 2010 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 9 (1):189-227.
Channel structure and divalent cation regulation of phototransduction.Richard L. Hurwitz, Devesh Srivastava & Mary Y. Hurwitz - 1995 - Behavioral and Brain Sciences 18 (3):478-478.
Congruences and ideals on Boolean modules: a heterogeneous point of view.Sandra Marques Pinto & M. Teresa Oliveira-Martins - 2011 - Mathematical Logic Quarterly 57 (6):571-581.
Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method.Serigne Bira Gueye - 2014 - JEMAA 6:309-318.
A note on the conditioned stimulus control of postshock responding.Harry M. B. Hurwitz - 1974 - Bulletin of the Psychonomic Society 4 (6):554-556.
From Paternalism to Managerialism: A Healing Shift?Sandro Limentani - 2002 - Philosophy of Management 2 (1):3-9.
Character and object.Rebecca Morris & Jeremy Avigad - 2016 - Review of Symbolic Logic 9 (3):480-510.
Spectral Spacing Correlations for Chaotic and Disordered Systems.O. Bohigas, P. Lebœuf & M. J. Sánchez - 2001 - Foundations of Physics 31 (3):489-517.
Systemic functional adaptedness and domain-general cognition: broadening the scope of evolutionary psychology.Michael Lundie - 2019 - Biology and Philosophy 34 (1):8.
Adolf Naef (1883–1949): On Foundational Concepts and Principles of Systematic Morphology. [REVIEW]Olivier Rieppel, David M. Williams & Malte C. Ebach - 2013 - Journal of the History of Biology 46 (3):445-510.
A Defense of Kant's Ethics and Metaphysics Against Moore's Early Criticism.Gerald Quincy Hurwitz - 1968 - Dissertation, The Johns Hopkins University
Analytics
Added to PP
2019-01-25
Downloads
8 (#1,283,306)
6 months
1 (#1,533,009)
2019-01-25
Downloads
8 (#1,283,306)
6 months
1 (#1,533,009)
Historical graph of downloads
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7c76586df8-hc2g5 uwo