Narcissist 发表于 2025-3-23 11:11:30
The Zeta Function of an Algebraic Number Field and Some Applications, in Sect. . we begin with a discussion of the results from algebraic number theory that will be required, with Dedekind’s Ideal Distribution Theorem as the final goal of this section. The zeta function of an algebraic number field is defined and studied in Sect. .; in particular, the Euler-Dedekindinterlude 发表于 2025-3-23 15:07:30
Dirichlet ,-Functions and the Distribution of Quadratic Residues,mbol of . are positive, and it transpires that the positivity of the sum of these Legendre-symbol values, for certain primes ., are determined precisely by the positivity of .(1, .) for certain Dirichlet characters .. We make all of this precise in Sect. ., where the principal theorem of this chapte禁令 发表于 2025-3-23 18:17:11
Quadratic Residues and Non-Residues in Arithmetic Progression,ss Davenport’s results and the technique that he used to obtain them in Sect. .. Davenport’s approach uses another application of the Dirichlet-Hilbert trick, which we used in the proofs of Theorems . and . presented in Chap. ., together with an ingenious estimate of the absolute value of certain LeCalculus 发表于 2025-3-24 00:23:34
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https://doi.org/10.1007/978-3-319-45955-411-XX; 12D05, 13B05, 52C05, 42A16, 42A20; quadratic residues; quadratic non-residues; law of quadratic铁砧 发表于 2025-3-25 01:35:53
Steve Wrightyrolab immunoassays are used to gain more information about biomolecular interactions that can be useful in assay development or quantify analytes in samples. Gyrolab immunoassays can be used to cover a broad concentration range and diversity of matrices in applications ranging from biomarker monito