Number Theory

Tradition and Modernization

Editors:

ISBN: 978-0-387-30414-4 (Print) 978-0-387-30829-6 (Online)

Table of contents (16 chapters)

  1. No Access

    Book Chapter

    Pages 1-10

    Positive Finiteness of Number Systems

  2. No Access

    Book Chapter

    Pages 11-22

    On a Distribution Property of the Residual Order of a (mod p)— IV

  3. No Access

    Book Chapter

    Pages 23-26

    Diagonalizing “Bad” Hecke Operators on Spaces of Cusp Forms

  4. No Access

    Book Chapter

    Pages 27-37

    On the Hilbert-Kamke and the Vinogradov Problems in Additive Number Theory

  5. No Access

    Book Chapter

    Pages 39-65

    The Goldbach-Vinogradov Theorem in Arithmetic Progressions

  6. No Access

    Book Chapter

    Pages 67-80

    Densities of Sets of Primes Related to Decimal Expansion of Rational Numbers

  7. No Access

    Book Chapter

    Pages 81-95

    Spherical Functions on p-Adic Homogeneous Spaces

  8. No Access

    Book Chapter

    Pages 97-102

    On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation

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    Book Chapter

    Pages 103-118

    Some Aspects of the Modular Relation

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    Book Chapter

    Pages 119-152

    Zeros of Automorphic L-Functions and Noncyclic Base Change

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    Book Chapter

    Pages 153-173

    Analytic Properties of Multiple Zeta-Functions in Several Variables

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    Book Chapter

    Pages 175-183

    Cubic Fields and Mordell Curves

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    Book Chapter

    Pages 185-204

    Towards the Reciprocity of Quartic Theta-Weyl Sums, and Beyond

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    Book Chapter

    Pages 205-218

    Explicit Congruences for Euler Polynomials

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    Book Chapter

    Pages 219-227

    Square-Free Integers as Sums of Two Squares

  16. No Access

    Book Chapter

    Pages 229-237

    Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums