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Iwasawa theory
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In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theoryNeal Koblitz (947 words) [view diff] case mismatch in snippet view article find links to article
Waterloo people Gross–Koblitz formula — (1984) [1977]. p-adic Numbers, p-adic Analysis, and Zeta-Functions. Graduate Texts in Mathematics. Vol. 58 (Second edSvetlana Katok (335 words) [view diff] case mismatch in snippet view article find links to article
Chicago Press, 1992. Russian edition, Faktorial Press, Moscow, 2002. p-adic Analysis Compared with Real, Student Mathematical Library, vol. 37, AmericanAlain M. Robert (288 words) [view diff] exact match in snippet view article find links to article
concerned topological vector spaces. Robert, Alain M.: A course in p-adic analysis. Graduate Texts in Mathematics, 198. Springer-Verlag, New York, 2000Absolute value (algebra) (1,403 words) [view diff] exact match in snippet view article
usual real and complex cases. Koblitz, Neal (1984). P-adic numbers, p-adic analysis, and zeta-functions (2nd ed.). New York: Springer-Verlag. p. 1.Artin–Hasse exponential (1,067 words) [view diff] exact match in snippet view article find links to article
a product over only n prime to p, which is a typical operation in p-adic analysis, leads from ex to Ep(x). The coefficients of Ep(x) are rational. WeSiegfried Bosch (290 words) [view diff] exact match in snippet view article find links to article
internazionale per la ricerca matematica; Congress on "p-adic Analysis" (1990). P-adic analysis : proceedings of the international conference held in TrentoP-adic gamma function (1,418 words) [view diff] exact match in snippet view article find links to article
MR 0424762 Overholtzer, Gordon (1952), "Sum functions in elementary p-adic analysis", American Journal of Mathematics, 74 (2): 332–346, doi:10.2307/2371998P-adic distribution (252 words) [view diff] case mismatch in snippet view article find links to article
and p-adic L-functions (PDF) Koblitz, Neal (1984), p-adic Numbers, p-adic Analysis, and Zeta-Functions, Graduate Texts in Mathematics, vol. 58, BerlinGödel Lecture (594 words) [view diff] case mismatch in snippet view article find links to article
Shoenfield, The Priority Method. 1993 Angus Macintyre, Logic of Real and p-adic Analysis: Achievements and Challenges. 1994 Donald A. Martin, L(R): A SurveyKummer's congruence (371 words) [view diff] case mismatch in snippet view article find links to article
number § The Kummer theorems Koblitz, Neal (1984), p-adic Numbers, p-adic Analysis, and Zeta-Functions, Graduate Texts in Mathematics, vol. 58, BerlinSpherically complete field (260 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-3-540-42533-5. Robert, Alain M. (2000-05-31). A Course in p-adic Analysis. Springer Science & Business Media. p. 129. ISBN 978-0-387-98669-2Graduate Texts in Mathematics (5,035 words) [view diff] case mismatch in snippet view article find links to article
Crowell, Ralph H. Fox (1977, ISBN 978-0-387-90272-2) p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (1984, 2nd ed., ISBN 978-0-387-96017-3)Complete field (676 words) [view diff] case mismatch in snippet view article find links to article
) . {\displaystyle k((x)).} Koblitz, Neal. (1984). P-adic Numbers, p-adic Analysis, and Zeta-Functions (Second ed.). New York, NY: Springer New York.Teichmüller character (450 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-0-387-49922-2, MR 2312337 Koblitz, Neal (1984), p-adic Numbers, p-adic Analysis, and Zeta-Functions, Graduate Texts in Mathematics, vol. 58, Berlin1 + 2 + 4 + 8 + ⋯ (1,194 words) [view diff] case mismatch in snippet view article find links to article
different but has the same spirit. Koblitz, Neal (1984). p-adic Numbers, p-adic Analysis, and Zeta-Functions. Graduate Texts in Mathematics, vol. 58. Springer-VerlagAssociation for Symbolic Logic (1,168 words) [view diff] case mismatch in snippet view article find links to article
Annual Gödel Lecture 1993 1993 Angus Macintyre, Logic of Real and p-adic Analysis: Achievements and Challenges The Third Annual Gödel Lecture 1992 1992Ostrowski's theorem (2,015 words) [view diff] exact match in snippet view article find links to article
theorem. Valuation (algebra) Koblitz, Neal (1984). P-adic numbers, p-adic analysis, and zeta-functions. Graduate Texts in Mathematics (2nd ed.). New York:P-adic L-function (1,148 words) [view diff] case mismatch in snippet view article find links to article
Society, pp. 479–506, MR 0432649 Koblitz, Neal (1984), p-adic Numbers, p-adic Analysis, and Zeta-Functions, Graduate Texts in Mathematics, vol. 58, BerlinArchimedean property (2,393 words) [view diff] case mismatch in snippet view article find links to article
Natuurk. (52): 74–84. MR 0015678. Neal Koblitz, "p-adic Numbers, p-adic Analysis, and Zeta-Functions", Springer-Verlag,1977. Shell, Niel, TopologicalArithmetic zeta function (1,603 words) [view diff] exact match in snippet view article find links to article
1017/is010004028jkt103. Sources François Bruhat (1963). Lectures on some aspects of p-adic analysis. Tata Institute of Fundamental Research. Serre, Jean-Pierre (1969–1970)Dyadic rational (3,895 words) [view diff] no match in snippet view article find links to article
p {\displaystyle p} -adic numbers", A Course in p {\displaystyle p} -adic Analysis, Graduate Texts in Mathematics, vol. 198, New York: Springer-VerlagFactorial (8,432 words) [view diff] no match in snippet view article find links to article
p} -adic valuation of a factorial". A Course in p {\displaystyle p} -adic Analysis. Graduate Texts in Mathematics. Vol. 198. New York: Springer-VerlagNewton's method (8,869 words) [view diff] exact match in snippet view article find links to article
developing a variant of Newton’s method that used cubic approximations. In p-adic analysis, the standard method to show a polynomial equation in one variableList of women in mathematics (23,253 words) [view diff] exact match in snippet view article find links to article
for indigenous students Yvette Amice (1936–1993), French expert on p-adic analysis who became president of the French mathematical society Divsha Amirà