Wyniki wyszukiwania

1

On special values of generalized p-adic hypergeometric functions

100%

Ota K.

Acta Arithmetica

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1994

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tom 67

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nr 2

141-163

2

Dedekind sums with characters and class numbers of imaginary quadratic fields

100%

Ota K.

Acta Arithmetica

|

2003

|

tom 108

|

nr 3

203-215

3

On x³ + y³ + z³ = 3μxyz and Jacobi polynomials

100%

Ota K.

Acta Arithmetica

|

1994

|

tom 68

|

nr 1

27-39

4

Indices of subfields of cyclotomic ℤₚ-extensions and higher degree Fermat quotients

64%

Inoue Y., Ota K.

Acta Arithmetica

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2015

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tom 169

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nr 2

101-114

EN

We consider the indices of subfields of cyclotomic ℤₚ-extensions of number fields. For the nth layer Kₙ of the cyclotomic ℤₚ-extension of ℚ, we find that the prime factors of the index of Kₙ/ℚ are those primes less than the extension degree pⁿ which split completely in Kₙ. Namely, the prime factor q satisfies $q^{p-1} ≡ 1 (mod p^{n+1})$, and this leads us to consider higher degree Fermat quotients. Indices of subfields of cyclotomic ℤₚ-extensions of a number field which is cyclic over ℚ with extension degree a prime different from p are also considered.

5

Generalizations of Dedekind sums and their reciprocity laws

51%

Nagasaka Y., Ota K., Sekine C.

Acta Arithmetica

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2003

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tom 106

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nr 4

355-378

Ograniczanie wyników

5 Acta Arithmetica

5 Ota K.

1 Inoue Y.

1 Nagasaka Y.

1 Sekine C.

1 2015

2 2003

2 1994

On special values of generalized p-adic hypergeometric functions

Dedekind sums with characters and class numbers of imaginary quadratic fields

On x³ + y³ + z³ = 3μxyz and Jacobi polynomials

Indices of subfields of cyclotomic ℤₚ-extensions and higher degree Fermat quotients

Generalizations of Dedekind sums and their reciprocity laws