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Questions related from Tapas Chatterjee
Let 1/2+ia_{k} be the k-th non-trivial zeros of the Riemann Zeta function. I have the following conjectures. Please let me known what is known towards this. Conjecture1: There exists infinitely...
20 July 2025 3,068 1 View
Koksma gave another classification of the complex numbers into fours categories inspire by Mahler's classification . These are A*-numbers, S*-numbers, U*-numbers and T*-numbers. It is known that...
27 June 2019 4,206 0 View
What is the best known results on the algebraic independence of finitely many Fredholm series over the field of complex numbers?
17 January 2019 3,225 2 View
Let p>3 be a prime and F be a field with p elements. It is clear that S_3 (the symmetric group of order 3!) is a subgroup of SL(2,F). Is there a normal subgroup N of SL(2,F); such that SL(2,F)...
28 February 2015 8,017 3 View
A natural number n is called semiprime if Omega(n)=2. My conjecture is that for any positive integer k, there are infinitely many pairs of semiprimes which differ by exactly k.
15 February 2015 9,746 7 View
A natural number n is called semiprime if Omega(n)=2. Twin semiprimes are those differ by 2. For examples, (4,6), (33,35), (49,51), (55,57), (85,87) and so on.
15 February 2015 9,460 3 View
Let p & q be two primes. Under what condition the p-th cyclotomic polynomial will be irreducible over a Galois field of characteristic q ?
14 February 2015 9,572 3 View
Kurt Mahler classified the complex numbers into fours categories. These are A-numbers, S-numbers, U-numbers and T-numbers. It is known that A-numbers are precisely the algebraic numbers. Also,...
01 January 1970 7,861 5 View
