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Abstract In the paper, an analogue of the Gram points used in the theory of the Riemann zeta-function is introduced for zeta-functions of normalized Hecke-eigen cusp forms of weight κ.… Click to show full abstract
Abstract In the paper, an analogue of the Gram points used in the theory of the Riemann zeta-function is introduced for zeta-functions of normalized Hecke-eigen cusp forms of weight κ. Some analytic properties of those points are studied, and the first ten Gram points for κ ⩽ 12 are calculated. The main attention is devoted to the universality of zeta-functions of cusp forms on the approximation of analytic functions by shifts involving the sequence of Gram points.
Keywords:
points theory;
functions certain;
zeta functions;
cusp forms;
gram points;
theory zeta
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!