A note on the arithmetic nature of some infinite series
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-019-00932-7
Abstract: Weatherby [14] studied some infinite series and proved that they are either zero or transcendental. Here, we extend his results. Moreover, we find a linear independence criteria of these series under some mild conditions. read more here.
Keywords: infinite series; arithmetic nature; note arithmetic; nature infinite ... See more keywords
On 5- and 10-dissections for some infinite products
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DOI: 10.1007/s11139-020-00340-4
Abstract: Quite recently, Xia and Zhao established the 10-dissections for Hirschhorn’s two infinite q-series products by using two MAPLE packages and the theory of modular forms. Utilizing the Jacobi triple product identity, we not only establish… read more here.
Keywords: dissections infinite; infinite series; series products; infinite products ... See more keywords
An application of quasi-monotone sequences to infinite series and Fourier series
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DOI: 10.1007/s13324-017-0164-x
Abstract: In this paper, we proved a known theorem dealing with $$|\bar{N},p_{n}|_{k}$$|N¯,pn|k summability factors of infinite series under weaker conditions. Also we applied this theorem to the Fourier series. read more here.
Keywords: application quasi; quasi monotone; series; monotone sequences ... See more keywords
A geometric Morse–Novikov complex with infinite series coefficients
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DOI: 10.1016/j.crma.2018.09.008
Abstract: Abstract Let M be a closed n-dimensional manifold, n > 2 , whose first real cohomology group H 1 ( M ; R ) is non-zero. We present a general method for constructing a Morse… read more here.
Keywords: geometric morse; novikov complex; infinite series; morse novikov ... See more keywords
Infinite series of time-dependent Dyson maps
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DOI: 10.1088/1751-8121/ac31a0
Abstract: We propose and explore a scheme that leads to an infinite series of timedependent Dyson maps which associate different Hermitian Hamiltonians to a uniquely specified time-dependent non-Hermitian Hamiltonian. We identify the underlying symmetries responsible for… read more here.
Keywords: infinite series; dyson; time dependent; dyson maps ... See more keywords
Certain new factor theorems for infinite series and trigonometric fourier series
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1578836
Abstract: Abstract In this paper, firstly we proved a general theorem dealing with absolute Riesz summability factors of infinite series under weaker conditions. And secondly we applied it to the trigonometric Fourier series. Also we have… read more here.
Keywords: new factor; certain new; series; trigonometric fourier ... See more keywords