Titlebook: Number Theory and Modular Forms; Papers in Memory of Bruce Berndt,Ken Ono Book 2003 Springer-Verlag US 2003 Lattice.Prime.continued fracti

dialect

不可比擬

,Modular Transformations of Ramanujan’s Fifth and Seventh Order Mock Theta Functions,and seventh order mock theta functions under the modular group generators τ → τ + 1 and τ → ?1/τ, where . = ... The transformation formulas are more complex than those of ordinary theta functions. A definition of the order of a mock theta function is also given.

palliate

antecedence

NIB

On Dirichlet Series for Sums of Squares,cations of Theorem 2.1 is to obtain closed forms, in terms of . (.) and Dirichlet .-functions, for the generating functions of ..(.), ..(.), .. (.) and .. (.). for certain . and .. We also use these generating functions to obtain asymptotic estimates of the average values for each function for which we obtain a Dirichlet series.

不能逃避

Book 2003 at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin‘s life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin‘

結(jié)構(gòu)

損壞

切碎

土產(chǎn)

Developments in Mathematicshttp://image.papertrans.cn/n/image/668875.jpg