The calculation of certain Dirichlet series
نویسندگان
چکیده
منابع مشابه
The Critical Values of Certain Dirichlet Series
We investigate the values of several types of Dirichlet series D(s) for certain integer values of s, and give explicit formulas for the value D(s) in many cases. The easiest types of D are Dirichlet L-functions and their variations; a somewhat more complex case involves elliptic functions. There is one new type that includes ∑∞ n=1(n +1) for which such values have not been studied previously. 2...
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This definition could have been given to an 18th or early 19th century mathematical audience, but it would not have been very popular: probably they would not have been comfortable with the Humpty Dumpty-esque redefinition of multiplication. Mathematics at that time did have commutative rings: rings of numbers, of matrices, of functions, but not rings with a “funny” multiplication operation def...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1963
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1963-0159796-4