Some series for π
نویسندگان
چکیده
منابع مشابه
Some New Series for 1/π and Related Congruences
In this paper we prove some new series for 1/π as well as related congruences. We also raise several new kinds of series for 1/π and present some related conjectural congruences involving representations of primes by binary quadratic forms.
متن کاملCollection of series for π
Selection of some of the numerous series expansion involving the famous constant π.
متن کاملSome New Formulas for π
We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.
متن کاملRamanujan's Series for 1/π: A Survey
When we pause to reflect on Ramanujan’s life, we see that there were certain events that seemingly were necessary in order that Ramanujan and his mathematics be brought to posterity. One of these was V. Ramaswamy Aiyer’s founding of the Indian Mathematical Society on 4 April 1907, for had he not launched the Indian Mathematical Society, then the next necessary episode, namely, Ramanujan’s meeti...
متن کاملΠ and Some Other Constants
We consider a particular definite integral and reduce it to hypergeometric form. Then we develop identities for some numerical constants and the number π.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Edinburgh Mathematical Notes
سال: 1949
ISSN: 0950-1843
DOI: 10.1017/s0950184300002871