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In mathematics, the Rankin–Selberg method, introduced by (Rankin ) and Selberg, also known as the theory of integral representations of L-functions, is a technique for directly constructing and analytically continuing several important examples of automorphic L-functions. Some authors reserve the term for a special type of integral representation, namely those that involve an Eisenstein series. It has been one of the most powerful techniques for studying the Langlands program.

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  • Rankin–Selberg method (en)
  • ランキン・セルバーグの方法 (ja)
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  • In mathematics, the Rankin–Selberg method, introduced by (Rankin ) and Selberg, also known as the theory of integral representations of L-functions, is a technique for directly constructing and analytically continuing several important examples of automorphic L-functions. Some authors reserve the term for a special type of integral representation, namely those that involve an Eisenstein series. It has been one of the most powerful techniques for studying the Langlands program. (en)
  • 数学では、ランキン・セルバーグの方法(Rankin–Selberg method)は と Selberg により導入され、L-函数の積分表現の理論としても知られ、保型形式のL-函数のいくつかの重要な例を直接構成する解析接続のテクニックである。このアイゼンシュタイン級数を意味する積分表現の特別なタイプであり、この方面の研究者が何人かいる。この方法は、ラングランズ・プログラムの研究のための最も強力なテクニックの一つとなっている。 (ja)
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  • Robert A. Rankin (en)
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  • Rankin (en)
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  • In mathematics, the Rankin–Selberg method, introduced by (Rankin ) and Selberg, also known as the theory of integral representations of L-functions, is a technique for directly constructing and analytically continuing several important examples of automorphic L-functions. Some authors reserve the term for a special type of integral representation, namely those that involve an Eisenstein series. It has been one of the most powerful techniques for studying the Langlands program. (en)
  • 数学では、ランキン・セルバーグの方法(Rankin–Selberg method)は と Selberg により導入され、L-函数の積分表現の理論としても知られ、保型形式のL-函数のいくつかの重要な例を直接構成する解析接続のテクニックである。このアイゼンシュタイン級数を意味する積分表現の特別なタイプであり、この方面の研究者が何人かいる。この方法は、ラングランズ・プログラムの研究のための最も強力なテクニックの一つとなっている。 (ja)
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