Pseudo-differential operators on the circle, Bernoulli polynomials

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Pseudodifferential operators in several complex variables (32W25) Quantum theory (81-XX)

Cites Work

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Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only
Introduction to arithmetical functions
The spectrum of positive elliptic operators and periodic bicharacteristics
Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
Note on the fonction \({\mathfrak K}(w,x,s)= \sum^{\infty}_{k=0}\frac{e^{2k\pi ix}}{(w+k)^s}\).
Formule de Poisson pour les variétés riemanniennes
Arithmetic and analysis of the series \(\sum_{n=1}^\infty \frac{1}{n} \sin \frac{x}{n}\)
Analytic torsion for complex manifolds
On a function which occurs in the theory of the structure of polymers
Complex Powers of the Laplace Operator on the Circle
Differentiation and integration of complex order of functions represented by trigonometrical series and generalized zeta-functions
Quantum Field Theory II: Quantum Electrodynamics
Sum rules for quantum billiards
On the quantum zeta function
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
An Extension Problem Related to the Fractional Laplacian
A Generalization of Epstein Zeta Functions
Note on the Hurwitz Zeta-Function
Fractional powers of operators
On the Hurwitz zeta-function

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