… generalization of the flat/projective and fp-projective periodicity theorems, as well as a common
generalization … Part (iii) of following theorem is the main result of this paper, formulated in …

… (see Theorem 2.5). We introduce a notion of a simple graded isolated singularity in Section
2 and then prove a generalized version of Knörrer’s Periodicity Theorem (see Theorem 2.15)…

… Some results on the periodicity of transcendental meromoprhic … Without loss of generalization,
we assume that k<l. In this … Using the second main theorem of Nevanlinna theory, we have …

… a theorem on the arithmetic of elliptic function fields. In the last section, we discuss the higher
rank analogue of this theorem … In that work we show how a generalization of the periodicity …

… via (4) may seem, at first glance, unrelated to our classical understanding, Theorem 7,
Theorem 9 confirm that the crucial properties of translation invariance, summarized in (1), remain …

… and characterizations established for generalized (equi-)Weyl … for the corresponding classes
of generalized (equi-)Weyl … In Theorem 1, we revisit Reference [14] (Theorem 2.5) once …

… Knörrer’s periodicity theorem plays an essential role in … For example, using Knörrer’s
periodicity theorem, we can show … graded versions of Knörrer’s periodicity theorem. The notion of …

… By extending this theorem, we can answer some open … of Theorem A in Section 2, which
will be used to prove the results of Section 3. In Section 3, we improve and generalize Theorems …

… We also find Lagrange type and Cauchy type mean value theorems for Petrovic’s type
inequality for exponentially convex and coordinated exponentially convex functions. Our …

… finite order ” in Theorem A. In this note, by considering a different proofs, we obtain the
following result, which offers a partial answer to Yang’s Conjecture, and improves Theorem A and …