Titlebook: Number Theory; New York Seminar 198 David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B Conference proceedings 1991 Springer Science+Busines

船員

Conjectures Relating to a Generalization of the Ramanujan Tau Function,for the Hecke transform factored into a linear and an irreducible part. The linear factor was related to the Ramanujan tau function in an intrinsic fashion that implied this phenomenom may be more than an accident. For instance, over Q(√2) the Hecke transform of index 2 + √2 had -24 as an eigenvalue

conquer

The Set of Multiples of a Short Interval, Thus if . (y, .] ∩Z. and .(.) is the set of multiples of ., then .(., y, .) is the counting function of .(.). To determine the asymptotic behaviour of this quantity with good precision is a difficult and interesting sieve problem with many applications in number theory — see in particular chap. 2 o

Lumbar-Stenosis

瘋狂

Class Number Formulas for Imaginary Pure Quartic Number Fields,lex multiplication. This is a particular case of the quite general situation, which has been treated in the author’s thesis [8]. On the other side, this paper may be considered as a “quantitative “ supplement of Parry’s work [9] on the same subject, which is more of a “qualitative” character.

前兆

雄偉

Conference proceedings 1991c year since then. The meeting place of the seminar is in midtown Manhattan at the Graduate School and University Center of the City Uni- versity of New York. This central location allows number-theorists in the New York metropolitan area and vistors an easy access. Four volumes of the Seminar proce

符合國(guó)情

Conjectures Relating to a Generalization of the Ramanujan Tau Function,nvalues of the corresponding modular eigenform are not Ramanujan tau function values. An explanation of this phenomenom is given by Doi-Naganuma lifting of modular forms. The author would like to thank Harvey Cohn and Carlos Moreno for illuminating discussions.

ALIBI

Springer Science+Business Media New York 1991

RALES

A Gap Theorem for Differentially Algebraic Power Series,One of the ways to force an analytic function to be pathological is to suppose that its power series has large gaps. If .is a formal power series, we define the spectrum of . by .(.) = {. : .. ≠ 0}. It is possible to gain information about the analytical behaviour of . from the knowledge of .(.) alone.

Gleason-score