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Perron's formula analogue for function fields

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#number-theory #analytic-number-theory
82
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Question about Davenport's cyclotomy result.

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#analytic-number-theory #cyclotomic-polynomials
65
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Prove that these infinite series converge simultaneously.

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#analytic-number-theory
14.4k
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What is the Todd's function in Atiyah's paper?

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#analytic-number-theory #fake-proofs #riemann-hypothesis
54
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Epsteins zeta function

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#convergence-divergence #analytic-number-theory #zeta-functions
194
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Any book between Apostol and Montgomery?

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#analytic-number-theory #book-recommendation
234
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Are notations $ \ll$ and $O$ same? and How to say $\ll$ in talking?

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#notation #analytic-number-theory
68
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A question about the rationality of Hurwitz Zeta functions.

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#analytic-number-theory #zeta-functions #sieve-theory #dirichlet-series
104
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Sum of four Squares relation

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#number-theory #analytic-number-theory #sums-of-squares
51
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Given the first 6 terms of a Fourier series expansion, is there a cusp form of weight 50 whose Fourier expansion begins that way

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#number-theory #analytic-number-theory #modular-forms
448
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Undersanding definition of Riemann-Stieltjes Integral used in Edwards book

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#real-analysis #number-theory #analytic-number-theory #riemann-zeta #stieltjes-integral
1.1k
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Asymptotic formula for $\sum_{n\leq x}\sigma(n)$ knowing $\sum_{n\leq x}\frac{\sigma(n)}{n}$

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#asymptotics #analytic-number-theory #divisor-sum
83
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The $\heartsuit$ operator on $\mathcal{L}^2(SL_2(\mathbb{Z})\backslash \mathbb{H})$

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#analytic-number-theory #modular-forms #l-functions
288
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Mobius function and Euler Product Triangle

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#elementary-number-theory #analytic-number-theory
60
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existence of a prime as close as possible to $\sqrt[3]{n}$, for $n$ large enough

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#number-theory #prime-numbers #analytic-number-theory

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