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[el]
общая лексика
дл. (длина)
л (литр)
сокращение
length
litre
существительное
общая лексика
12-я буква английского алфавита
(L) пятьдесят (в системе римских цифр)
крыло дома
(L) «учебная» (знак на автомобиле)
(L-) как компонент сложных слов имеющий форму буквы L
L-образный
двенадцатая буква англ. алфавита
американизм
пристройка
флигель
надземная железная дорога (на эстакаде) (L.)
In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation. The Riemann zeta function is an example of an L-function, and one important conjecture involving L-functions is the Riemann hypothesis and its generalization.
The theory of L-functions has become a very substantial, and still largely conjectural, part of contemporary analytic number theory. In it, broad generalisations of the Riemann zeta function and the L-series for a Dirichlet character are constructed, and their general properties, in most cases still out of reach of proof, are set out in a systematic way. Because of the Euler product formula there is a deep connection between L-functions and the theory of prime numbers.
The mathematical field that studies L-functions is sometimes called analytic theory of L-functions.