کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9496439 1335826 2005 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
More congruences for the coefficients of quotients of Eisenstein series
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
More congruences for the coefficients of quotients of Eisenstein series
چکیده انگلیسی
Berndt and Yee (Acta Arith. 104 (2002) 297) recently proved congruences for the coefficients of certain quotients of Eisenstein series. In each case, they showed that an arithmetic progression of coefficients is identically zero modulo a small power of 3 or 7. The present paper extends these results by proving that there are infinite classes of odd primes for which the set of coefficients that are zero modulo an arbitrary prime power is a set of arithmetic density one. A new family of explicit congruences modulo arbitrary powers of 2 is also found.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 115, Issue 1, November 2005, Pages 89-99
نویسندگان
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