Search Results - "modular form"
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A correspondence of modular forms and applications to values of L-series
Published 2015“…This is based on a correspondence of modular forms which is of independent interest. We use the reinterpretation for two applications to values of L-series and values of their derivatives.…”
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A survey of the number theoretic properties of real analytic modular forms
Published 2021Subjects: “…real analytic modular forms…”
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Sustainable production of natural dyes for textile product via SUBMEX
Published 2009“…The membrane is assembled in a modular form with appropriate membrane surface area.…”
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Modular stormwater blocks.
Published 2006“…The blocks can be used in modular form to suit any area and depth requirement. …”
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Architectonic spacer building system.
Published 2009“…Accordingly, the architectonic spacer building system for skeleton construction which used for developing design assembly for physical building components in a modular industrialised building system (IBS), characterised in that the architectonic spacer building system includes spacer having predetermined shape for use in formulate modular form of building component; wherein the spacer is a piece of physical building assembly component to integrate with various physical building components in prefabrication. …”
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Hybrid Synthesizer Based On Phase-Lock Loop (Pll) Driven Direct Digital Synthesizer (Dds)
Published 2017“…Throughout the years, the development of a frequency synthesizer has evolved from large and heavy benchtop models to the compact size handheld synthesizer and now in modular form. Due to the fast-growing technology in wireless telecommunication industries and high expenditure or budget allocation to improve the military and defense system, the frequency synthesizer has become one of the highest demand instruments in the market now. …”
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Regularized inner products and errors of modularity
Published 2017“…We develop a regularization for Petersson inner products of arbitrary weakly holomorphic modular forms, generalizing several known regularizations. …”
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Products of Eisenstein series, their L-functions, and Eichler cohomology for arbitrary real weights
Published 2016“…First we investigate the subspaces of modular forms of level N that are generated by such products. …”
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Automorphic forms of higher order
Published 2009“…In this paper a theory of Hecke operators for higher-order modular forms is established. The definition of higher-order forms is extended beyond the realm of parabolic invariants. …”
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Period polynomials, derivatives of L-functions, and zeros of polynomials
Published 2018“…We discuss ways to incorporate non-cuspidal modular forms and values of derivatives of L-functions into the same framework. …”
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Period polynomials, derivatives of L-functions, and zeros of polynomials
Published 2017“…We discuss ways to incorporate non-cuspidal modular forms and values of derivatives of L-functions into the same framework. …”
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Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
Published 2013“…We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-critical values of L-functions of GL(2) cusp forms. …”
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K1-congruences between L-values of elliptic curves
Published 2009“…To do this, we exploit the fact that such an L-value may be written as the Rankin convolution of two Hilbert modular forms, when the representation factors through the false Tate curve extension. …”
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